the ultimate online bibliography |
The present bibliography on the theory and applications of belief functions is maintained by Fabio Cuzzolin.
Everybody is very welcome to contribute to it by reporting title and details of relevant papers that cannot yet be found in this list!
Authors in alphabetical list. Last update: June 18th 2010.
All publications are tentatively classified into the following, broad categories:which are used to label the papers between brackets: e.g., [Foundations]. Download BibTeX version
- Foundations, Frameworks, Combination, Random sets, Geometry, Applications, Decision, Machine learning, TBM, Logic, Approximation, Possibility, Fuzzy, Algorithms, Conditioning, Independence
J. Aitchinson
Discussion on professor Dempster's paper
Journal of the Royal Statistical Society B 30 (1968), 234-237.
[Foundations]
R. Almond
Belief function models for simple series and parallel systems
Department of Statistics, University of Washington, Tech. Report 207 (1991).
R. G. Almond
Fusion and propagation of graphical belief models: an implementation and an example
PhD dissertation, Department of Statistics, Harvard University, 1990.
R. G. Almond
Graphical belief modeling
Chapman and Hall/CRC, 1995.
[Graphical models]
P. An and W. M. Moon
An evidential reasoning structure for integrating geophysical, geological and remote sensing data
Proceedings of IEEE, 1993, pp. 1359-1361.
[Applications]
Z. An
Relative evidential support
PhD dissertation, University of Ulster, 1991.
[Foundations]
Z. An, D. A. Bell, and J. G. Hughes
Relation-based evidential reasoning
International Journal of Approximate Reasoning 8 (1993), 231-251.
[Frameworks]
K. A. Andersen and J. N. Hooker
A linear programming framework for logics of uncertainty
Decision Support Systems 16 (1996), 39-53.
[Logic]
A. Ayoun and Philippe Smets
Data association in multi-target detection using the transferable belief model
Intern. J. Intell. Systems (2001).
[Applications,TBM]
J. F. Baldwin
Evidential support logical programming
Fuzzy Sets and Systems 24 (1985), 1-26.
[Logic]
J. F. Baldwin
Towards a general theory of evidential reasoning
Proceedings of IPMU'90 (B. Bouchon-Meunier, R.R. Yager, and L.A. Zadeh, eds.), Paris, France, 2-6 July 1990, pp. 360-369.
[Foundations]
J. F. Baldwin
Combining evidences for evidential reasoning
International Journal of Intelligent Systems Vol. 6, No. 6 (September 1991), 569-616.
[Combination]
J. A. Barnett
Computational methods for a mathematical theory of evidence
Proc. of the 7th National Conference on Artificial Intelligence (AAAI-88), 1981, pp. 868-875.
[Algorithms]
P. Baroni
Extending consonant approximations to capacities
Proceedings of IPMU'04, 2004, pp. 1127-1134.
[Possibility,approximation]
M. Bauer
A Dempster-Shafer approach to modeling agent preferences for plan recognition
User Modeling and User-Adapted Interaction Vol. 5, No. 3-4 (1995), 317-348.
[Applications]
D. A. Bell, J. W. Guan, and G. M. Shapcott
Using the Dempster-Shafer orthogonal sum for reasoning which involves space
Kybernetes 27:5 (1998), 511-526.
[Combination]
D. A. Bell, J. W. Guan, and Suk Kyoon Lee
Generalized union and project operations for pooling uncertain and imprecise information Data and Knowledge Engineering 18 (1996), 89-117.
S. Benferhat, Alessandro Saffiotti, and Philippe Smets
Belief functions and default reasoning
Proc. of the 11th Conf. on Uncertainty in AI, Montreal, Canada, 1995, pp. 19-26.
[Logic]
S. Benferhat, Alessandro Saffiotti, and Philippe Smets
Belief functions and default reasonings
Tech. report, Universite' Libre de Bruxelles, Technical Report TR/IRIDIA/95-5, 1995.
[Logic]
R. J. Beran
On distribution-free statistical inference with upper and lower probabilities
Annals of Mathematical Statistics 42 (1971), 157-168.
[Foundations,upper-lower]
Berger
Robust bayesian analysis: Sensitivity to the prior
Journal of Statistical Planning and Inference 25 (1990), 303-328.
P. Besnard and Jurg Kohlas
Evidence theory based on general consequence relations
Int. J. of Foundations of Computer Science 6 (1995), no. 2, 119-135.
[Foundations]
B. Besserer, S. Estable, and B. Ulmer
Multiple knowledge sources and evidential reasoning for shape recognition
Proceedings of IEEE, 1993, pp. 624-631
[Applications]
Elisabetta Binaghi and Paolo Madella
Fuzzy Dempster-Shafer reasoning for rule-based classifiers
International Journal of Intelligent Systems 14 (1999), 559-583.
[Fuzzy,machine learning]
P. Black
Is Shafer general Bayes?
Proceedings of the Third AAAI Uncertainty in Artificial Intelligence Workshop, 1987, pp. 2-9.
[Foundations]
P. Black
An examination of belief functions and other monotone capacities
PhD dissertation, Department of Statistics, Carnegie Mellon University, 1996, Pgh. PA 15213.
[Foundations]
P. Black
Geometric structure of lower probabilities
Random Sets: Theory and Applications (Goutsias, Malher, and Nguyen, eds.), Springer, 1997, pp. 361-383.
[Geometry]
Michael Boshra and Hong Zhang
Accommodating uncertainty in pixel-based verification of 3-D object hypotheses
Pattern Recognition Letters 20 (1999), 689-698.
[Applications,vision]
E. Bosse and J. Roy
Fusion of identity declarations from dissimilar sources using the Dempster-Shafer theory
Optical Engineering 36:3 (March 1997), 648-657.
[Fusion]
M. Bruning and Dieter Denneberg
Max-min sigma-additive representation of monotone measures
Statistical Papers 34 (2002), 23-35.
[Combinatorics]
Noel Bryson and Ayodele Mobolurin
Qualitative discriminant approach for generating quantitative belief functions
IEEE Transactions on Knowledge and Data Engineering 10 (1998), 345-348.
[Inference]
A. Bundy
Incidence calculus: A mechanism for probability reasoning
Journal of automated reasoning 1 (1985), 263-283.
[Frameworks]
R. Buxton
Modelling uncertainty in expert systems
International Journal of Man-Machine Studies 31 (1989), 415-476.
C. Camerer and M. Weber
Recent developments in modeling preferences: uncertainty and ambiguity
Journal of Risk and Uncertainty 5 (1992), 325-370.
F. Campos and F. M. C. de Souza
Extending Dempster-Shafer theory to overcome counter intuitive results
Proceedings of IEEE NLP-KE '05, vol. 3, 2005, pp. 729- 734.
[Foundations]
Lucas Caro and Araabi Babak Nadjar
Generalization of the Dempster-Shafer theory: a fuzzy-valued measure
IEEE Transactions on Fuzzy Systems 7 (1999), 255-270.
[Fuzzy]
W. F. Caselton and W. Luo
Decision making with imprecise probabilities: Dempster-Shafer theory and application
Water Resources Research 28 (1992), 3071-3083.
[Decision]
Marco E. G. V. Cattaneo
Combining belief functions issued from dependent sources
Proc. of ISIPTA, 2003, pp. 133-147.
[Combination,independence]
A. Chateauneuf and J.-C. Vergnaud
Ambiguity reduction through new statistical data
International Journal of Approximate Reasoning 24 (2000), 283-299.
[Inference]
Shiuh-Yung Chen,Wei-Chung Lin, and Chin-Tu Chen
Spatial reasoning based on multivariate belief functions
Proceedings of IEEE, 1992, pp. 624-626.
Y. Y. Chen
Statistical inference based on the possibility and belief measures
Transactions of the American Mathematical Society 347 (1995), 1855-1863.
[Possibility,inference]
B. R. Cobb and Prakash P. Shenoy
A comparison of Bayesian and belief function reasoning
Information Systems Frontiers 5 (2003), no. 4, 345-358.
[Approximation]
Fabio G. Cozman and Serafin Moral
Reasoning with imprecise probabilities
International Journal of Approximate Reasoning 24 (2000), 121-123.
[Foundations,frameworks]
H. H. Crapo and Gian-Carlo Rota
On the foundations of combinatorial theory: combinatorial geometries
M.I.T. Press, Cambridge, Mass., 1970.
[Combinatorics]
Valerie Cross and Thomas Sudkamp
Compatibility and aggregation in fuzzy evidential reasoning
Proceedings of IEEE, 1991, pp. 1901-1906.
[Fuzzy,combination]
Fabio Cuzzolin
Lattice modularity and linear independence
18th British Combinatorial Conference, Brighton, UK, 2001.
[Independence,combinatorics]
Fabio Cuzzolin
Visions of a generalized probability theory
PhD dissertation, Universitą di Padova, Dipartimento di Elettronica e Informatica, 19 February 2001.
Fabio Cuzzolin
Geometry of Dempster's rule of combination
IEEE Transactions on Systems, Man and Cybernetics part B 34 (2004), no. 2, 961-977.
[Combination,geometry]
Fabio Cuzzolin
Algebraic structure of the families of compatible frames of discernment
Annals of Mathematics and Artificial Intelligence 45(1-2) (2005), 241-274.
[Combinatorics]
Fabio Cuzzolin
Geometry of relative plausibility and relative belief of singletons
Annals of Mathematics and Artificial Intelligence (2010)
[Geometry,approximation]![]()
Fabio Cuzzolin
A geometric approach to the theory of evidence
IEEE Transactions on Systems, Man, and Cybernetics - Part C 38 (2008), no. 4, 522-534.
[Geometry,frameworks]
Fabio Cuzzolin
Three alternative combinatorial formulations of the theory of evidence
Intelligent Decision Analysis journal (2010).
[Foundations,combinatorics]
Fabio Cuzzolin
Semantics of the relative belief of singletons
International Workshop on Uncertainty and Logic UNCLOG'08, Kanazawa, Japan, 2008.
[Approximation]
Fabio Cuzzolin
Complexes of outer consonant approximations
Proceedings of ECSQARU'09, 2009.
[Geometry,approximation]
Fabio Cuzzolin
The geometry of consonant belief functions: simplicial complexes of necessity measures
Fuzzy Sets and Systems (2010).
[Geometry,possibility]
Fabio Cuzzolin
Credal semantics of Bayesian transformations in terms of probability intervals
IEEE Transactions on Systems, Man, and Cybernetics - Part B (2010).
[Geometry,approximation]
Fabio Cuzzolin
Geometry of upper probabilities
Proceedings of the 3rd International Symposium on Imprecise Probabilities and Their Applications (ISIPTA'03), July 2003.
[Geometry,upper-lower]
Fabio Cuzzolin
Geometry of Dempster's rule
Proceedings of FSDK'02, Singapore, 18-22 November 2002.
[Geometry,combination]
Fabio Cuzzolin
Families of compatible frames of discernment as semimodular lattices
Proc. of the International Conference of the Royal Statistical Society (RSS2000), September 2000.
[Combinatorics]
Wagner Texeira da Silva and Ruy Luiz Milidiu
Algorithms for combining belief functions
International Journal of Approximate Reasoning 7 (1992), 73-94.
[Combination,algorithms]
Milan Daniel
On transformations of belief functions to probabilities
International Journal of Intelligent Systems, special issue on Uncertainty Processing.
[Approximation]
Milan Daniel
Transformations of belief functions to probabilities
Tech. report, Institute of Computer Science, Academy of Sciences of the Csech Republic.
[Approximation]
Milan Daniel
Consistency of probabilistic transformations of belief functions
Proceedings of IPMU, 2004, pp. 1135-1142.
[Approximation]
L. de Campos, J. Huete, and Serafin Moral
Probability intervals: a tool for uncertain reasoning
Int. J. Uncertainty Fuzziness Knowledge-Based Syst. 1 (1994), 167-196.
[Intervals,frameworks]
Gert de Cooman and D. Aeyels
A random set description of a possibility measure and its natural extension
(1998)
[Possibility,random sets]
Gert de Cooman and Marco Zaffalon
Updating beliefs with incomplete observations
Artif. Intell. 159 (2004), no. 1-2, 75-125.
[Combination]
F. Dupin de Saint Cyr, J. Lang, and N. Schiex
Penalty logic and its link with Dempster-Shafer theory
Proceedings of UAI'94, 1994, pp. 204-211.
[Logic]
Arthur P. Dempster
New methods for reasoning towards posterior distributions based on sample data
Annals of Mathematical Statistics 37 (1966), 355-374.
Arthur P. Dempster
Upper and lower probability inferences based on a sample from a finite univariate population
Biometrika 54 (1967), 515-528.
Arthur P. Dempster
Bayes, Fischer and belief functions
Bayesian and Likelihood Methods in Statistics and Economics (S. J. Press S. Geisser, J. S. Hodges and A. Zellner, eds.), 1990.
Arthur P. Dempster
Normal belief functions and the Kalman filter
Tech. report, Department of Statistics, Harvard Univerisity, Cambridge, MA, 1990.
Arthur P. Dempster
Upper and lower probabilities induced by a multivariate mapping
Annals of Mathematical Statistics 38 (1967), 325-339.
Arthur P. Dempster
A generalization of Bayesian inference
Journal of the Royal Statistical Society, Series B 30 (1968), 205-247.
Arthur P. Dempster
Upper and lower probabilities generated by a random closed interval
Annals of Mathematical Statistics 39 (1968), 957-966.
Arthur P. Dempster
Upper and lower probabilities inferences for families of hypothesis with monotone density ratios
Annals of Mathematical Statistics 40 (1969), 953-969.
Arthur P. Dempster
Lindley's paradox: Comment
Journal of the American Statistical Association 77:378 (June 1982), 339-341.
Arthur P. Dempster and Augustine Kong
Uncertain evidence and artificial analysis
Tech. report, S-108, Department of Statistics, Harvard University, 1986.
C. Van den Acker
Belief function representation of statistical audit evidence
International Journal of Intelligent Systems 15 (2000), 277-290.
Dieter Denneberg
Totally monotone core and products of monotone measures
International Journal of Approximate Reasoning 24 (2000), 273-281.
Dieter Denneberg and Michel Grabisch
Interaction transform of set functions over a finite set
Information Sciences 121 (1999), 149-170.
Thierry Denoeux
Construction of predictive belief functions using a frequentist approach
IPMU, 2006.
Thierry Denoeux
Conjunctive and disjunctive combination of belief functions induced by non distinct bodies of evidence
Artificial Intelligence (2007).
[Combination]
Thierry Denoeux
Modeling vague beliefs using fuzzy-valued belief structures, Fuzzy Sets and Systems.
Thierry Denoeux
A k-nearest neighbour classification rule based on Dempster-Shafer theory
IEEE Transactions on Systems, Man, and Cybernetics 25:5 (1995), 804-813.
Thierry Denoeux
Analysis of evidence-theoretic decision rules for pattern classification
Pattern Recognition 30:7 (1997), 1095-1107.
[Machine learning,decision]
Thierry Denoeux
Reasoning with imprecise belief structures
International Journal of Approximate Reasoning 20 (1999), 79-111.
Thierry Denoeux
Allowing imprecision in belief representation using fuzzy-valued belief structures
Proceedings of IPMU'98, vol. 1, July Paris, 1998, pp. 48-55.
Thierry Denoeux
An evidence-theoretic neural network classifier
Proceedings of the 1995 IEEE International Conference on Systems, Man, and Cybernetics (SMC'95), vol. 3, October 1995, pp. 712-717.
Jean Dezert and F. Smarandache
A new probabilistic transformation of belief mass assignment
(2007).
P. Diaconis
Review of 'a mathematical theory of evidence'
Journal of American Statistical Society 73:363 (1978), 677-678.
Didier Dubois and Henri Prade
Possibility theory
Plenum Press, New York, 1988.
[Possibility]
Didier Dubois and Henri Prade
Consonant approximations of belief functions
International Journal of Approximate Reasoning 4 (1990), 419-449.
[Approximation,possibility]
Didier Dubois and Henri Prade
On the combination of evidence in various mathematical frameworks
Reliability Data Collection and Analysis (J. °amm and T. Luisi, eds.), 1992, pp. 213-241.
[Combination]
Didier Dubois, Henri Prade, and S. Sandri
On possibility/probability transformations
(1993).
[Possibility,approximation]
Didier Dubois and Henri Prade
On the unicity of Dempster's rule of combination
International Journal of Intelligent Systems 1 (1986), 133-142.
[Combination]
Didier Dubois and Henri Prade
The mean value of a fuzzy number
Fuzzy Sets and Systems 24 (1987), 279-300.
Didier Dubois and Henri Prade
Properties of measures of information in evidence and possibility theories
Fuzzy Sets and Systems 24 (1987), 161-182.
[Possibility]
Didier Dubois and Henri Prade
Representation and combination of uncertainty with belief functions and possibility measures
Computational Intelligence 4 (1988), 244-264.
[Combination,possibility]
Didier Dubois and Henri Prade
Epistemic entrenchment and possibilistic logic
Artificial Intelligence 50 (1991), 223-239.
[Logic,possibility]
Didier Dubois and Henri Prade
Focusing versus updating in belief function theory
Tech. report, Internal Report IRIT/91-94/R, IRIT, Universite P. Sabatier, Toulouse, France, 1991.
Didier Dubois and Henri Prade
Evidence, knowledge, and belief functions
International Journal of Approximate Reasoning 6 (1992), 295-319.
Didier Dubois and Henri Prade
A survey of belief revision and updating rules in various uncertainty models
International Journal of Intelligent Systems 9 (1994), 61-100.
Didier Dubois and Henri Prade
Bayesian conditioning in possibility theory
Fuzzy Sets and Systems 92 (1997), 223-240.
[Possibility,conditioning]
Didier Dubois, Henri Prade, and Philippe Smets
New semantics for quantitative possibility theory
Proc. of ISIPTA, 2001, pp. 152-161.
[Possibility]
V. Dugat and S. Sandri
Complexity of hierarchical trees in evidence theory
ORSA Journal of Computing 6 (1994), 37-49.
A. Dutta
Reasoning with imprecise knowledge in expert systems
Information Sciences 37 (1985), 3-24.
W. F. Eddy and G. P. Pei
Structures of rule-based belief functions
IBM J.Res.Develop. 30 (1986), 43-101.
H. J. Einhorn and R. M. Hogarth
Decision making under ambiguity
Journal of Business 59 (1986), S225-S250.
[Decision]
R. Fagin and Joseph Y. Halpern
A new approach to updating beliefs
Uncertainty in Artificial Intelligence, 6 (L.N. Kanal P.P. Bonissone, M. Henrion and J.F. Lemmer, eds.), 1991, pp. 347-374.
R. Fagin and Joseph Y. Halpern
Uncertainty, belief and probability
Proc. Intl. Joint Conf. in AI (IJCAI-89), 1988, pp. 1161-1167.
Terry L. Fine
Review of a mathematical theory of evidence
Bulletin of the American Mathematical Society 83 (1977), 667-672.
Bruno De Finetti
Theory of probability
Wiley, London, 1974.
Dale Fixen and Ronald P. S. Mahler
The modified Dempster-Shafer approach to classification
IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 27:1 (January 1997), 96-104.
Philippe Fortemps
Jobshop scheduling with imprecise durations: A fuzzy approach
IEEE Transactions on Fuzzy Systems 5 (1997), 557-569.
S. Foucher, J.-M. Boucher, and G. B. Benie
Multiscale and multisource classification using Dempster-Shafer theory
Proceedings of IEEE, 1999, pp. 124-128.
Fabio Gambino, Giovanni Ulivi, and Marilena Vendittelli
The transferable belief model in ultrasonic map building
Proceedings of IEEE, 1997, pp. 601-608.
[Applications,TBM]
P. Gardenfors, B. Hansson, and N. E. Sahlin
Evidentiary value: philosophical, judicial and psychological aspects of a theory
(1988).
See Ng Geok and Singh Harcharan
Data equalisation with evidence combination for pattern recognition
Pattern Recognition Letters 19 (1998), 227-235.
[Machine learning]
Peter R. Gillett
Monetary unit sampling: a belief-function implementation for audit and accounting applications
International Journal of Approximate Reasoning 25 (2000), 43-70.
M. L. Ginsberg
Non-monotonic reasoning using Dempster's rule
Proc. 3rd National Conference on AI (AAAI-84), 1984, pp. 126-129.
Forouzan Golshani, Enrique Cortes-Rello, and Thomas H. Howell
Dynamic route planning with uncertain information
Knowledge-based Systems 9 (1996), 223-232.
I. R. Goodman and Hung T. Nguyen
Uncertainty models for knowledge-based systems
North Holland, New York, 1985.
J. Gordon and Edward H. Shortliffe
A method for managing evidential reasoning in a hierarchical hypothesis space: a retrospective
Artificial Intelligence 59:1-2 (February 1993), 43-47.
J. Gordon and Edward H. Shortliffe
A method for managing evidential reasoning in hierarchical hypothesis spaces
Artificial Intelligence 26 (1985), 323-358.
John Goutsias, Ronald P.S. Mahler, and Hung T. Nguyen
Random sets: theory and applications
IMA Volumes in Mathematics and Its Applications Vol. 97, Springer-Verlag, December 1997.
Michel Grabisch
The Moebius transform on symmetric ordered structures and its application to capacities on finite sets
Discrete Mathematics 287 (1-3) (2004), 17-34.
Michel Grabisch
Belief functions on lattices
Int. J. of Intelligent Systems (2006).
Michel Grabisch, Hung T. Nguyen, and Elbert A. Walker
Fundamentals of uncertainty calculi with applications to fuzzy inference
Kluwer Academic Publishers, 1995.
J. W. Guan and D. A. Bell
The Dempster-Shafer theory on Boolean algebras
Chinese Journal of Advanced Software Research 3:4 (November 1996), 313-343.
M. Guironnet, D. Pellerin, and Michčle Rombaut
Camera motion classification based on the transferable belief model
Proceedings of EUSIPCO'06, Florence, Italy, 2006.
[Applications,TBM]
V. Ha and P. Haddawy
Theoretical foundations for abstraction-based probabilistic planning
Proc. of the 12th Conference on Uncertainty in Artificial Intelligence, August 1996, pp. 291-298.
M. Ha-Duong
Hierarchical fusion of expert opinion in the transferable belief model, application on climate sensivity
Working Papers halshs-00112129-v3, HAL, 2006.
[Applications,TBM]
R. Haenni
Towards a unifying theory of logical and probabilistic reasoning
Proceedings of ISIPTA'05, 2005.
[Logic,foundations]
P. Hajek
Deriving Dempster's rule
Proceeding of IPMU'92, 1992, pp. 73-75.
P. Hajek
Getting belief functions from kripke models
International Journal of General Systems 24 (1996), 325-327.
P. Hajek
A note on belief functions in mycin-like systems
Proceedings of Aplikace Umele Inteligence AI '90, Prague, Czechoslovakia, 20-22 March 1990, pp. 19-26.
P. Hajek and David Harmanec
On belief functions (the present state of Dempster-Shafer theory)
Advanced topics in AI (Marik, ed.), Springer-Verlag, 1992.
J. Y. Halpern and R. Fagin
Two views of belief: belief as generalized probability and belief as evidence
Artificial Intelligence 54 (1992), 275-317.
J. Y. Halpern
Reasoning about uncertainty
MIT Press, 2003.
David Harmanec, George Klir, and G. Resconi
On modal logic interpretation of Dempster-Shafer theory
International Journal of Intelligent Systems 9 (1994), 941-951.
[Logic]
David Harmanec, George Klir, and Z. Wang
Modal logic inpterpretation of Dempster-Shafer theory: an infinite case
International Journal of Approximate Reasoning 14 (1996), 81-93.
[Logic]
David Harmanec and Petr Hajek
A qualitative belief logic
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (1994).
[Logic]
Stanislaw Heilpern
Representation and application of fuzzy numbers
Fuzzy Sets and Systems 91 (1997), 259-268.
Y. Hel-Or and M. Werman
Constraint fusion for recognition and localization of articulated objects
Int. J. Computer Vision 19 (1996), 5-28.
Ebbe Hendon, Hans Jorgen Jacobsen, Birgitte Sloth, and Torben Tranaes
The product of capacities and belief functions
Mathematical Social Sciences 32 (1996), 95-108.
T. Herron, Terry Seidenfeld, and L. Wasserman
Divisive conditioning: further results on dilation
Philosophy of Science 64 (1997), 411-444.
[Conditioning]
H. T. Hestir, Hung T. Nguyen, and G. S. Rogers
A random set formalism for evidential reasoning
Conditional Logic in Expert Systems, North Holland, 1991, pp. 309-344.
[Random sets]
A. Honda and Michel Grabisch
Entropy of capacities on lattices and set systems
Information Science (2006).
Lang Hong
Recursive algorithms for information fusion using belief functions with applications to target identification
Proceedings of IEEE, 1992, pp. 1052-1057.
Yen-Teh Hsia and Prakash P. Shenoy
An evidential language for expert systems
Methodologies for Intelligent Systems (Ras Z., ed.), North Holland, 1989, pp. 9-16.
Yen-Teh Hsia and Prakash P. Shenoy
Macevidence: A visual evidential language for knowledge-based systems
Tech. report, No 211, School of Business, University of Kansas, 1989.
Yen-Teh Hsia
A belief function semantics for cautious non-monotonicity
Technical Report TR/IRIDIA/91-3, Université Libre de Bruxelles, 1991.
Yen-Teh Hsia
Characterizing belief functions with minimal commitment
Proceedings of IJCAI-91, 1991, pp. 1184-1189.
Yen-Teh Hsia and Philippe Smets
Belief functions and non-monotonic reasoning
Université Libre de Bruxelles, Technical Report IRIDIA/TR/1990/3, 1990.
R. Hummel and M. Landy
A statistical viewpoint on the theory of evidence
IEEE Transactions on PAMI (1988), 235-247.
A. Hunter and Weiru Liu
Fusion rules for merging uncertain information
Information Fusion 7(1) (2006), 97-134.
D. Hunter
Dempster-Shafer versus probabilistic logic
Proceedings of the Third AAAI Uncertainty in Artificial Intelligence Workshop, 1987, pp. 22-29.
[Logic]
V.-N. Huynh, Y. Nakamori, H. Ono, J. Lawry, V. Kreinovich, and H.T. Nguyen (eds.),
Interval / probabilistic uncertainty and non-classical logics Springer, 2008.
[Logic]
I. Iancu
Prosum-prolog system for uncertainty management
International Journal of Intelligent Systems 12 (1997), 615-627.
Laurie Webster II, Jen-Gwo Chen, Simon S. Tan, Carolyn Watson, and Andr¶e de Korvin
Validation of authentic reasoning expert systems
Information Sciences 117 (1999), 19-46.
Horace H. S. Ip and Richard C. K. Chiu
Evidential reasoning for facial gesture recognition from cartoon images
Proceedings of IEEE, 1994, pp. 397-401.
Horace H. S. Ip and Hon-Ming Wong
Evidential reasoning in foreign exchange rates forecasting
Proceedings of IEEE, 1991, pp. 152-159.
J. Y. Jaffray
Application of linear utility theory for belief functions
Uncertainty and Intelligent Systems, Springer-Verlag, Berlin, 1988, pp. 1-8.
J. Y. Jaffray
Coherent bets under partially resolving uncertainty and belief functions
Theory and Decision 26 (1989), 99-105.
[Decision]
J. Y. Jaffray
Linear utility theory for belief functions
Operation Research Letters 8 (1989), 107-112.
J. Y. Jaffray
Bayesian updating and belief functions
IEEE Transactions on Systems, Man and Cybernetics 22 (1992), 1144-1152.
J. Y. Jaffray and P. P. Wakker
Decision making with belief functions: compatibility and incompatibility with the sure-thing principle
Journal of Risk and Uncertainty 8 (1994), 255-271.
[Decision]
Audun Josang, Milan Daniel, and P. Vannoorenberghe
Strategies for combining conflicting dogmatic beliefs
Proceedings of Fusion 2003, vol. 2, 2003, pp. 1133-1140.
Audun Josang, Simon Pope, and David McAnally
Normalising the consensus operator for belief fusion
IPMU, 2006.
Cliff Joslyn
Towards an empirical semantics of possibility through maximum uncertainty
Proc. IFSA 1991 (R. Lowen and M. Roubens, eds.), vol. A, 1991, pp. 86-89.
[Possibility]
Cliff Joslyn
Possibilistic normalization of inconsistent random intervals
Advances in Systems Science and Applications (1997), 44-51.
[Possibility]
Cliff Joslyn and Luis Rocha
Towards a formal taxonomy of hybrid uncertainty representations
Information Sciences 110 (1998), 255-277.
A. Jsang and S. Pope
Normalising the consensus operator for belief fusion
(2006).
R. Kennes
Computational aspects of the Moebius transformation of graphs
IEEE Transactions on Systems, Man, and Cybernetics 22 (1992), 201-223.
D. A. Klain and G.-C. Rota
Introduction to geometric probability
Cambridge University Press, 1997.
F. Klawonn and E. Schweke
On the axiomatic justification of Dempster's rule of combination
International Journal of Intelligent Systems 7 (1990), 469-478.
[Combination]
George J. Klir and T. A. Folger
Fuzzy sets, uncertainty and information, Prentice Hall, Englewood Cliffs (NJ), 1988.
George J. Klir and A. Ramer
Uncertainty in the Dempster-Shafer theory: a critical re-examination
International Journal of General Systems 18 (1990), 155-166.
George J. Klir and B. Yuan
Fuzzy sets and fuzzy logic: theory and applications
Prentice Hall PTR, Upper Saddle River, NJ, 1995.
[Logic,fuzzy]
George J. Klir
Principles of uncertainty: What are they? why do we need them?
Fuzzy Sets and Systems 74 (1995), 15-31.
George J. Klir
On fuzzy-set interpretation of possibility theory
Fuzzy Sets and Systems 108 (1999), 263-273.
[Possibility,fuzzy]
George J. Klir, Wang Zhenyuan, and David Harmanec
Constructing fuzzy measures in expert systems
Fuzzy Sets and Systems 92 (1997), 251-264.
E. T. Kohler and C. T. Leondes
Algorithmic modifications to the theory of evidential reasoning
Journal of Algorithms 17:2 (September 1994), 269-279.
Jurg Kohlas
Modeling uncertainty for plausible reasoning with belief
Tech. Report 116, Institute for Automation and Operations Research, University of Fribourg, 1986.
Jurg Kohlas
Conditional belief structures
Probability in Engineering and Information Science 2 (1988), no. 4, 415-433.
[Conditioning]
Jurg Kohlas
Modeling uncertainty with belief functions in numerical models
Europ. J. of Operational Research 40 (1989), 377-388.
Jurg Kohlas
Evidential reasoning about parametric models
Tech. Report 194, Institute for Automation and Operations Research, University Fribourg, 1992.
Jurg Kohlas
Support and plausibility functions induced by filter-valued mappings
Int. J. of General Systems 21 (1993), no. 4, 343-363.
Jurg Kohlas
The mathematical theory of evidence - a short introduction
System Modelling and Optimization (J. Dolezal, ed.), Chapman and Hall, 1995, pp. 37-53.
Jurg Kohlas
Allocation of arguments and evidence theory
Theoretical Computer Science 171 (1997), 221-246.
Jurg Kohlas and P. Besnard
An algebraic study of argumentation systems and evidence theory
Tech. Report 95-13, Institute of Informatics, University of Fribourg, 1995.
Jurg Kohlas and Paul-André Monney
Modeling and reasoning with hints
Tech. Report 174, Institute for Automation and Operations Research, University of Fribourg, 1990.
Jurg Kohlas and Paul-André Monney
Propagating belief functions through constraint systems
Int. J. Approximate Reasoning 5 (1991), 433-461.
Jurg Kohlas and Paul-André Monney
A mathematical theory of hints - an approach to the Dempster-Shafer theory of evidence
Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, 1995.
Augustine Kong
Multivariate belief functions and graphical models
PhD dissertation, Harvard University, Department of Statistics, 1986.
Ivan Kramosil
Expert systems with non-numerical belief functions
Problems of Control and Information Theory 17 (1988), 285-295.
Ivan Kramosil
Possibilistic belief functions generated by direct products of single possibilistic measures
Neural Network World 9:6 (1994), 517-525.
[Possibility]
Ivan Kramosil
Approximations of believeability functions under incomplete identification of sets of compatible states
Kybernetika 31 (1995), 425-450.
[Approximation]
Ivan Kramosil
Dempster-Shafer theory with indiscernible states and observations
International Journal of General Systems 25 (1996), 147-152.
Ivan Kramosil
Expert systems with non-numerical belief functions
Problems of control and information theory 16 (1996), 39-53.
Ivan Kramosil
Belief functions generated by signed measures
Fuzzy Sets and Systems 92 (1997), 157-166.
Ivan Kramosil
Probabilistic analysis of Dempster-Shafer theory
part one, Academy of Science of the Czech Republic, Technical Report 716, 1997.
Ivan Kramosil
Probabilistic analysis of Dempster-Shafer theory. part two.
Academy of Science of the Czech Republic, Technical Report 749, 1998.
Ivan Kramosil
Measure-theoretic approach to the inversion problem for belief functions
Fuzzy Sets and Systems 102 (1999), 363-369.
Ivan Kramosil
Nonspecificity degrees of basic probability assignments in Dempster-Shafer theory
Computers and Artificial Intelligence 18:6 (April-June 1993), 559-574.
Ivan Kramosil
Dempster combination rule for signed belief functions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6:1 (February 1998), 79-102.
[Combination]
Ivan Kramosil
Toward a boolean-valued Dempster-Shafer theory
LOGICA '92 (Svoboda V., ed.), Prague, 1993, pp. 110-131.
[Logic]
Ivan Kramosil
A probabilistic analysis of Dempster combination rule
The Logica. Yearbook 1997 (Childers Timothy, ed.), Prague, 1997, pp. 174-187.
[Combination]
David H. Krantz and John Miyamoto
Priors and likelihood ratios as evidence
Journal of the American Statistical Association 78 (June 1983), 418-423.
P. Krause and D. Clark
Representing uncertain knowledge
Kluwer, Dordrecht, 1993.
R. Krause and E. Schwecke
Specialization: a new concept for uncertainty handling with belief functions
International Journal of General Systems 18 (1990), 49-60.
R. Kruse, D. Nauck, and F. Klawonn
Reasoning with mass
Uncertainty in Artificial Intelligence (P. Smets B. D. D'Ambrosio and P. P. Bonissone, eds.), Morgan Kaufmann, San Mateo, CA, 1991, pp. 182-187.
H. Kyburg
Bayesian and non-Bayesian evidential updating
Artificial Intelligence 31:3 (1987), 271-294.
M. Lamata and Serafin Moral
Calculus with linguistic probabilities and belief
Advances in the Dempster-Shafer Theory of Evidence, Wiley, New York, 1994, pp. 133-152.
Kathryn B. Laskey
Beliefs in belief functions: an examination of Shafer's canonical examples
AAAI Third Workshop on Uncertainty in Artificial Intelligence, Seattle, 1987, pp. 39-46.
Kathryn B. Laskey and Paul E. Lehner
Assumptions, beliefs and probabilities
Artificial Intelligence 41 (1989), 65-77.
Chia-Hoang Lee
A comparison of two evidential reasoning schemes
Artificial Intelligence 35 (1988), 127-134.
E. S. Lee and Q. Zhu
Fuzzy and evidential reasoning
Physica-Verlag, Heidelberg, 1995.
E. Lefevre, O. Colot, and P. Vannoorenberghe
Belief functions combination and conflict management
Information Fusion Journal 3 (2002), no. 2, 149-162.
[Combination,conflict]
E. Lehrer
Updating non-additive probabilities a geometric approach
Games and Economic Behavior 50 (2005), 42-57.
S. A. Lesh
An evidential theory approach to judgement-based decision making
PhD dissertation, Department of Forestry and Environmental Studies, Duke University, December 1986.
[Decision]
Henry Leung and Jiangfeng Wu
Bayesian and Dempster-Shafer target identification for radar surveillance
IEEE Transactions on Aerospace and Electronic Systems 36:2 (April 2000), 432-447.
Isaac Levi
The enterprise of knowledge: An essay on knowledge, credal probability, and chance
The MIT Press, Cambridge, Mass., 1980.
Isaac Levi
Consonance, dissonance and evidentiary mechanism
Festschrift for Soren Hallden, Theoria, 1983, pp. 27-42.
Z. Li and L. Uhr
Evidential reasoning in a computer vision system
Uncertainty in Artificial Intelligence 2 (Lemmer and Kanal, eds.), North Holland, Amsterdam, 1988, pp. 403-412.
Ee-Peng Lim, Jaideep Srivastava, and Shashi Shekar
Resolving attribute incompatibility in database integration: an evidential reasoning approach
Proceedings of IEEE, 1994, pp. 154-163.
J. S. Liu and Y. Wu
Parameter expansion for data augmentation
Journal of the American Statistical Association, vol. 94, 1999, pp. 1264-1274.
Liping Liu
Propagation of Gaussian belief functions
Learning Models from Data: AI and Statistics (D. Fisher and H. J. Lenz, eds.), Springer, New York, 1996, pp. 79-88.
Liping Liu
A theory of Gaussian belief functions
International Journal of Approximate Reasoning 14 (1996), 95-126.
Liping Liu
Local computation of Gaussian belief functions
International Journal of Approximate Reasoning 22 (1999), 217-248.
Weiru Liu
Analyzing the degree of conflict among belief functions
Artif. Intell. 170 (2006), no. 11, 909-924.
Weiru Liu, D. McBryan, and A. Bundy
Method of assigning incidences, Applied Intelligence 9 (1998), 139-161.
Weiru Liu, Jun Hong, and Micheal F. McTear
An extended framework for evidential reasoning systems
Proceedings of IEEE, 1990, pp. 731-737.
K. C. Lo
Agreement and stochastic independence of belief functions
Mathematical Social Sciences 51(1) (2006), 1-22.
Pierre Loonis, El-Hadi Zahzah, and Jean-Pierre Bonnefoy
Multi-classifiers neural network fusion versus Dempster-Shafer's orthogonal rule
Proceedings of IEEE, 1995, pp. 2162-2165.
John D. Lowrance
Automated argument construction
Journal of Statistical Planning Inference 20 (1988), 369-387.
John D. Lowrance
Evidential reasoning with gister-cl: A manual
Tech. report, Artificial Intelligence Center, SRI International, 333 Ravenswood Avenue, Menlo Park, CA., 1994.
John D. Lowrance and T. D. Garvey
Evidential reasoning: an implementation for multisensor integration
Tech. report, SRI International, Menlo Park, CA, Technical Note 307, 1983.
John D. Lowrance, T. D. Garvey, and Thomas M. Strat
A framework for evidential reasoning systems
Readings in uncertain reasoning (Shafer and Pearl, eds.), Morgan Kaufman, 1990, pp. 611-618.
Ronald P. S. Mahler
Combining ambiguous evidence with respect to ambiguous a priori knowledge. part ii: Fuzzy logic
Fuzzy Sets and Systems 75 (1995), 319-354.
[Combination]
David A. Maluf
Monotonicity of entropy computations in belief functions
Intelligent Data Analysis 1 (1997), 207-213.
G. Matheron
Random sets and integral geometry
Wiley Series in Probability and Mathematical Statistics.
[Geometry,random sets]
Sally McClean and Bryan Scotney
Using evidence theory for the integration of distributed databases
International Journal of Intelligent Systems 12 (1997), 763-776.
[Applications]
Sally McClean, Bryan Scotney, and Mary Shapcott
Using background knowledge in the aggregation of imprecise evidence in databases
Data and Knowledge Engineering 32 (2000), 131-143.
T. Melkonyan and R. Chambers
Degree of imprecision: Geometric and algebraic approaches
International Journal of Approximate Reasoning (2006).
Khaled Mellouli
On the propagation of beliefs in networks using the Dempster-Shafer theory of evidence
PhD dissertation, University of Kansas, School of Business, 1986.
Khaled Mellouli and Zied Elouedi
Pooling experts opinion using Dempster-Shafer theory of evidence
Proceedings of IEEE, 1997, pp. 1900-1905.
David Mercier, Thierry Denoeux, and M. Masson
Refined sensor tuning in the belief function framework using contextual discounting
Proc. of IPMU, 2006.
Pedro Miranda, Michel Grabisch, and P. Gil
On some results of the set of dominating k-additive belief functions
Proc. of IPMU, 2004, pp. 625-632.
S. M. Mohiddin and T. S. Dillon
Evidential reasoning using neural networks
Proceedings of IEEE, 1994, pp. 1600-1606.
Catherine K. Murphy
Combining belief functions when evidence conflicts
Decision Support Systems 29 (2000), 1-9.
[Combination,conflict]
Robin R. Murphy
Dempster-Shafer theory for sensor fusion in autonomous mobile robots
IEEE Transactions on Robotics and Automation 14 (1998), 197-206.
[Fusion,applications]
R. E. Neapolitan
The interpretation and application of belief functions
Applied Artificial Intelligence 7:2 (April-June 1993), 195-204.
[Foundations]
Hung T. Nguyen and Philippe Smets
On dynamics of cautious belief and conditional objects
International Journal of Approximate Reasoning 8 (1993), 89-104.
[Conditioning]
Hung T. Nguyen
On random sets and belief functions
J. Mathematical Analysis and Applications 65 (1978), 531-542.
Hung T. Nguyen and T. Wang
Belief functions and random sets
Applications and Theory of Random Sets, The IMA Volumes in Mathematics and its Applications, Vol. 97, Springer, 1997, pp. 243-255.
Pekka Orponen
Dempster's rule of combination is NP-complete
Artificial Intelligence 44 (1990), 245-253.
[Combination]
N. Pal, J. Bezdek, and R. Hemasinha
Uncertainty measures for evidential reasoning I: a review
International Journal of Approximate Reasoning 7 (1992), 165-183.
[Review]
N. Pal, J. Bezdek, and R. Hemasinha
Uncertainty measures for evidential reasoning II: a review
International Journal of Approximate Reasoning 8 (1993), 1-16.
[Review]
Simon Parsons and Alessandro Saffiotti
A case study in the qualitative verification and debugging of numerical uncertainty
International Journal of Approximate Reasoning 14 (1996), 187-216.
Judea Pearl
On evidential reasoning in a hierarchy of hypotheses
Artificial Intelligence 28:1 (1986), 9-15.
Judea Pearl
Reasoning with belief functions: a critical assessment
UCLA, Technical Report R-136, 1989.
Judea Pearl
Reasoning with belief functions: an analysis of compatibility
International Journal of Approximate Reasoning 4 (1990), 363-389.
Judea Pearl
Rejoinder to comments on `reasoning with belief functions: an analysis of compatibility'
International Journal of Approximate Reasoning 6 (1992), 425-443.
L. Polkowski and A. Skowron
Rough mereology: A new paradigm for approximate reasoning
International Journal of Approximate Reasoning 15 (1996), 333-365.
G. Priest, R. Routley, and J. Norman
Paraconsistent logic: Essays on the inconsistent
Philosophia Verlag, 1989.
[Logic]
Gregory Provan
An analysis of ATMS-based techniques for computing Dempster-Shafer belief functions
Proceedings of the International Joint Conference on Artificial Intelligence, 1989.
Gregory Provan
An analysis of exact and approximation algorithms for Dempster-Shafer theory
Tech. report, Department of Computer Science, University of British Columbia, Tech. Report 90-15, 1990.
Gregory Provan
The validity of Dempster-Shafer belief functions
International Journal of Approximate Reasoning 6 (1992), 389-399.
Gregory Provan
A logic-based analysis of Dempster-Shafer theory
International Journal of Approximate Reasoning 4 (1990), 451-495.
[Logic]
B. Quost, Thierry Denoeux, and M. Masson
One-against-all classifier combination in the framework of belief functions
Proc. of IPMU, 2006.
[Machine learning]
Andrej Rakar, Ani Jurii, and Peter Ball¶e
Transferable belief model in fault diagnosis
Engineering Applications of Artificial Intelligence 12 (1999), 555-567.
[Applications,TBM]
Arthur Ramer
Uniqueness of information measure in the theory of evidence
Random Sets and Systems 24 (1987), 183-196.
. Arthur Ramer and George J. Klir
Measures of discord in the Dempster-Shafer theory
Information Sciences 67 (1993), no. 1-2, 35-50.
Arthur Ramer
Text on evidence theory: comparative review
International Journal of Approximate Reasoning 14 (1996), 217-220.
Germano Resconi, George J. Klir, U. St. Clair, and David Harmanec
On the integration of uncertainty theories
Fuzziness and Knowledge-Based Systems 1 (1993), 1-18.
Bruno Ristic and Philippe Smets
Belief function theory on the continuous space with an application to model based classification
Proc. of IPMU, 2004, pp. 1119-1126.
Bruno Ristic and Philippe Smets
The TBM global distance measure for the association of uncertain combat ID declarations
Information Fusion 7(3) (2006), 276-284.
Christoph Roemer and Abraham Kandel
Applicability analysis of fuzzy inference by means of generalized Dempster-Shafer theory
IEEE Transactions on Fuzzy Systems 3:4 (November 1995), 448-453.
Christopher Roesmer
Nonstandard analysis and Dempster-shafer theory
International Journal of Intelligent Systems 15 (2000), 117-127.
David Ross
Random sets without separability
Annals of Probability 14:3 (July 1986), 1064-1069.
Enrique H. Ruspini, John D. Lowrance, and T. M. Strat
Understanding evidential reasoning
International Journal of Approximate Reasoning 6 (1992), 401-424.
Enrique H. Ruspini
Epistemic logics, probability and the calculus of evidence
Proc. 10th Intl. Joint Conf. on AI (IJCAI-87), 1987, pp. 924-931.
[Logic]
Enrique H. Ruspini
The logical foundations of evidential reasoning
SRI International, Menlo Park, CA, Technical Note 408, 1986.
[Logic]
Alessandro Saffiotti
A belief-function logic
Universit Libre de Bruxelles, MIT Press, pp. 642-647.
[Logic]
Alessandro Saffiotti
A hybrid framework for representing uncertain knowledge
Procs. of the 8th AAAI Conf., Boston, MA, 1990, pp. 653-658.
Alessandro Saffiotti
A hybrid belief system for doubtful agents
Uncertainty in Knowledge Bases, Lecture Notes in Computer Science 251, Springer-Verlag, 1991, pp. 393-402.
Alessandro Saffiotti
A belief function logic
Proceedings of the 10th AAAI Conf., San Jose,CA, 1992, pp. 642-647.
[Logic]
Alessandro Saffiotti, S. Parsons, and E. Umkehrer
Comparing uncertainty management techniques
Microcomputers in Civil Engineering 9 (1994), 367-380.
Alessandro Saffiotti and E. Umkehrer
PULCINELLA: A general tool for propagation uncertainty in valuation networks
Tech. report, IRIDIA, Libre Universite de Bruxelles, 1991.
Johan Schubert
Cluster-based specification techniques in Dempster-Shafer theory
Proceedings of ECSQARU'95 (C. Froidevaux and J. Kohlas, eds.), 1995.
Johan Schubert
On nonspecific evidence
International Journal of Intelligent Systems 8:6 (1993), 711-725.
Johan Schubert
Cluster-based specification techniques in Dempster-Shafer theory for an evidential intelligence analysis of multipletarget tracks
AI Communications 8:2 (1995), 107-110.
Johan Schubert
Finding a posterior domain probability distribution by specifying nonspecific evidence
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 3:2 (1995), 163-185.
Johan Schubert
On ¶rho¶³n a decision-theoretic apparatus of Dempster-Shafer theory
International Journal of Approximate Reasoning 13 (1995), 185-200.
[Decision]
Johan Schubert
Specifying nonspecific evidence
International Journal of Intelligent Systems 11 (1996), 525-563.
Johan Schubert
Managing decomposed belief functions
IPMU, 2006.
Romano Scozzafava
Subjective probability versus belief functions in artificial intelligence
International Journal of General Systems 22:2 (1994), 197-206.
Terry Seidenfeld
Some static and dynamic aspects of rubust Bayesian theory
Random Sets: Theory and Applications (Goutsias, Malher, and Nguyen, eds.),Springer, 1997, pp. 385-406.
Terry Seidenfeld, M. Schervish, and J. Kadane
Coherent choice functions under uncertainty
Proceedings of ISIPTA'07, 2007.
Terry Seidenfeld and L. Wasserman
Dilation for convex sets of probabilities
Annals of Statistics 21 (1993), 1139-1154.
K. Sentz and S. Ferson
Combination of evidence in Dempster-Shafer theory
SANDIA Tech. Report, SAND2002-0835, April 2002.
[Combination]
Glenn Shafer
Belief functions and parametric models
Journal of the Royal Statistical Society, Series B 44 (1982), 322-352.
Glenn Shafer
A mathematical theory of evidence
Princeton University Press, 1976.
Glenn Shafer
Nonadditive probabilities in the work of Bernoulli and Lambert
Arch. History Exact Sci. 19 (1978), 309-370.
Glenn Shafer
Allocations of probability
Annals of Probability 7:5 (1979), 827-839.
Glenn Shafer
Constructive probability
Synthese 48 (1981), 309-370.
Glenn Shafer
Two theories of probability
Philosophy of Science Association Proceedings 1978 (P. Asquith and I. Hacking, eds.), vol. 2, Philosophy of Science Association, East Lansing (MI), 1981.
Glenn Shafer
Belief functions and parametric models
Journal of the Royal Statistical Society B 44 (1982), 322-352.
Glenn Shafer
The combination of evidence
School of Business, University of Kansas, Lawrence, KS, Working Paper 162, 1984.
[Combination]
Glenn Shafer
Conditional probability
International Statistical Review 53 (1985), 261-277.
[Conditioning]
Glenn Shafer
Nonadditive probability
Encyclopedia of Statistical Sciences (Kotz and Johnson, eds.), Wiley, 1985, pp. 6, 271-276.
Glenn Shafer
The combination of evidence
International Journal of Intelligent Systems 1 (1986), 155-179.
[Combination]
Glenn Shafer
Belief functions and possibility measures
Analysis of Fuzzy Information 1: Mathematics and logic (Bezdek, ed.), CRC Press, 1987, pp. 51-84.
[Possibility]
Glenn Shafer
Probability judgment in artificial intelligence and expert systems
Statistical Science 2 (1987), 3-44.
Glenn Shafer
Perspectives on the theory and practice of belief functions
International Journal of Approximate Reasoning 4 (1990), 323-362.
Glenn Shafer
A note on Dempster's Gaussian belief functions
Tech. report, School of Business, University of Kansas, Lawrence, KS, 1992.
Glenn Shafer
Rejoinders to comments on `perspectives on the theory and practice of belief functions'
International Journal of Approximate Reasoning 6 (1992), 445-480.
Glenn Shafer
Bayes's two arguments for the rule of conditioning
Annals of Statistics 10:4 (December 1982), 1075-1089.
[Conditioning]
Glenn Shafer and R. Logan
Implementing Dempster's rule for hierarchical evidence
Artificial Intelligence 33 (1987), 271-298.
Glenn Shafer and Prakash P. Shenoy
Propagating belief functions using local computations
IEEE Expert 1 (1986), (3), 43-52.
Glenn Shafer, Prakash P. Shenoy, and Khaled Mellouli
Propagating belief functions in qualitative Markov trees
International Journal of Approximate Reasoning 1 (1987), (4), 349-400.
Glenn Shafer and R. Srivastava
The Bayesian and belief-function formalism: A general perspective for auditing
Auditing: A Journal of Practice and Theory (1989).
Glenn Shafer and Vladimir Vovk
Probability and finance: It's only a game!
Wiley, New York, 2001.
Prakash P. Shenoy and Khaled Mellouli
Propagation of belief functions: a distributed approach
Uncertainty in Artificial Intelligence 2 (Lemmer and Kanal, eds.), North Holland, 1988, pp. 325-336.
Prakash P. Shenoy and Glenn Shafer
An axiomatic framework for Bayesian and belief function propagation
Proceedings of the AAAI Workshop of Uncertainty in Artificial Intelligence, 1988, pp. 307-314.
F. K. J. Sheridan
A survey of techniques for inference under uncertainty
Artificial Intelligence Review 5 (1991), 89-119.
Anna Slobodova
Conditional belief functions and valuation-based systems
Tech. report, Institute of Control Theory and Robotics, Slovak Academy of Sciences, Bratislava, SK, 1994.
[Conditioning]
Philippe Smets
Medical diagnosis : Fuzzy sets and degree of belief
Proceedings of MIC'79 (J. Willems, ed.), Wiley, 1979, pp. 185-189.
Philippe Smets
The degree of belief in a fuzzy event
Information Sciences 25 (1981), 1-19.
Philippe Smets
Medical diagnosis : Fuzzy sets and degrees of belief
Int. J. Fuzzy Sets and systems 5 (1981), 259-266.
Philippe Smets
The combination of evidence in the transferable belief model
IEEE Tr. PAMI 12 (1990), 447-458.
[Combination,frameworks,TBM]
Philippe Smets
Varieties of ignorance
Information Sciences 57-58 (1991), 135-144.
Philippe Smets
Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem
International Journal of Approximate reasoning 9 (1993), 1-35.
[Combination]
Philippe Smets
Decision making in the TBM: the necessity of the pignistic transformation
International Journal of Approximate Reasoning 38(2) (February 2005), 133-147.
[Decision,approximation,TBM]
Philippe Smets
The application of the matrix calculus to belief functions
International Journal of Approximate Reasoning 31(1-2) (October 2002), 1-30.
Philippe Smets
Theory of evidence and medical diagnostic
Medical Informatics Europe 78 (1978), 285-291.
Philippe Smets
Information content of an evidence
International Journal of Man Machine Studies 19 (1983), 33-43.
Philippe Smets
Data fusion in the transferable belief model
Proceedings of the 1984 American Control Conference, 1984, pp. 554-555.
[Fusion,TBM]
Philippe Smets
Bayes' theorem generalized for belief functions
Proceedings of ECAI'86, vol. 2, 1986, pp. 169-171.
Philippe Smets
Belief functions
Non-Standard Logics for Automated Reasoning (Ph. Smets, A. Mamdani, D. Dubois, and H. Prade, eds.), Academic Press, London, 1988, pp. 253-286.
[Logic]
Philippe Smets
Belief functions versus probability functions
Uncertainty and Intelligent Systems (Saitta L. Bouchon B. and Yager R., eds.), Springer Verlag, Berlin, 1988, pp. 17-24.
Philippe Smets
The transferable belief model and possibility theory
Proceedings of NAFIPS-90 (Kodrato® Y., ed.), 1990, pp. 215-218.
[Frameworks,TBM,possibility]
Philippe Smets
About updating
Proceedings of the 7th conference on Uncertainty in Artificial Intelligence (B. D'ambrosio, Ph. Smets, and Bonissone P. P. and, eds.), 1991, pp. 378-385.
Philippe Smets
Patterns of reasoning with belief functions
Journal of Applied Non-Classical Logic 1:2 (1991), 166-170.
[Logic]
Philippe Smets
Probability of provability and belief functions
Logique et Analyse 133-134 (1991), 177-195.
Philippe Smets
Resolving misunderstandings about belief functions
International Journal of Approximate Reasoning 6 (1992), 321-34.
Philippe Smets
The transferable belief model and random sets
International Journal of Intelligent Systems 7 (1992), 37-46.
[Frameworks,TBM,random sets]
Philippe Smets
The transferable belief model for expert judgments and reliability problems
Reliability Engineering and System Safety 38 (1992), 59-66.
[Applications,TBM]
Philippe Smets
Belief functions : the disjunctive rule of combination and the generalized Bayesian theorem
International Journal of Approximate Reasoning 9 (1993), 1-35.
Philippe Smets
Quantifying beliefs by belief functions : An axiomatic justification
Proceedings of the 13th International Joint Conference on Artificial Intelligence (IJCAI'93), 1993, pp. 598-603.
Philippe Smets
What is Dempster-Shafer's model ?
Advances in the Dempster-Shafer Theory of Evidence (Fedrizzi M. Yager R.R. and Kacprzyk J., eds.), Wiley, 1994, pp. 5-34.
Philippe Smets
The axiomatic justification of the transferable belief model
Tech. report, Universite' Libre de Bruxelles, Technical Report TR/IRIDIA/1995-8.1, 1995.
[Frameworks,TBM]
Philippe Smets
The normative representation of quantified beliefs by belief functions
Artificial Intelligence 92 (1997), 229-242.
Philippe Smets
The application of the transferable belief model to diagnostic problems
Int. J. Intelligent Systems 13 (1998), 127-158.
[Applications,TBM]
Philippe Smets
Practical uses of belief functions
Uncertainty in Artificial Intelligence 15 (Laskey K. B. and Prade H., eds.), 1999, pp. 612-621.
Philippe Smets
Upper and lower probability functions versus belief functions
Proceedings of the International Symposium on Fuzzy Systems and Knowledge Engineering, Guangzhou, China, 1987, pp. 17-21.
Philippe Smets
The canonical decomposition of a weighted belief
Proceedings of the International Joint Conference on AI (IJCAI'95), Montreal, Canada, 1995, pp. 1896-1901.
Philippe Smets
Data fusion in the transferable belief model
Proc. 3rd Intern. Conf. Information Fusion, Paris, France 2000, pp. 21-33.
[Fusion,TBM]
Philippe Smets
Transferable belief model versus Bayesian model
Proceedings of ECAI 1988 (Kodrato® Y., ed.), Pitman, London, 1988, pp. 495-500.
[Frameworks,TBM]
Philippe Smets
Belief functions and generalized Bayes theorem
Proceedings of the Second IFSA Congress, Tokyo, Japan, 1987, pp. 404-407.
Philippe Smets and Yen-Teh Hsia
Defeasible reasoning with belief functions
Tech. report, Universite' Libre de Bruxelles, Technical Report TR/IRIDIA/90-9, 1990.
Philippe Smets and Robert Kennes
The transferable belief model
Artificial Intelligence 66 (1994), 191-234.
[Frameworks,TBM]
M. J. Smithson
Ignorance and uncertainty: Emerging paradigm
Springer, New York (NY), 1989.
Paul Snow
The vulnerability of the Transferable Belief Model to Dutch books
Artificial Intelligence 105 (1998), 345-354.
[Frameworks,TBM]
Leen-Kit Soh, Costas Tsatsoulis, Todd Bowers, and Andrew Williams
Representing sea ice knowledge in a Dempster-Shafer belief system
Proceedings of IEEE, 1998, pp. 2234-2236.
M. Spies
Conditional events, conditioning, and random sets
IEEE Transactions on Systems, Man, and Cybernetics 24 (1994), 1755-1763.
[Conditioning,random sets]
R. Spillman
Managing uncertainty with belief functions
AI Expert 5:5 (May 1990), 44-49.
R. Stein
The Dempster-Shafer theory of evidential reasoning
AI Expert 8:8 (August 1993), 26-31.
P. R. Stokke, T. A. Boyce, John D. Lowrance, J. William, and K. Ralston
Evidential reasoning and project early warning systems
Research and Technology Management (1994).
P. R. Stokke, T. A. Boyce, John D. Lowrance, J. William, and K. Ralston
Industrial project monitoring with evidential reasoning
Nordic Advanced Information Technology Magazine 8 (1994), 18-27.
Thomas M. Strat
Making decisions with belief functions
Proceedings of the 5th Workshop on Uncertainty in AI, 1989, pp. 351-360.
[Decision]
Thomas M. Strat
Decision analysis using belief functions
International Journal of Approximate Reasoning 4 (1990), 391-417.
[Decision]
Thomas M. Strat
Decision analysis using belief functions
Advances in the Dempster-Shafer Theory of Evidence, Wiley, New York, 1994.
[Decision]
Thomas M. Strat and John D. Lowrance
Explaining evidential analysis
International Journal of Approximate Reasoning 3 (1989), 299-353.
Thomas Sudkamp
The consistency of Dempster-Shafer updating
International Journal of Approximate Reasoning 7 (1992), 19-44.
P. Suppes and M. Zanotti
On using random relations to generate upper and lower probabilities
Synthese 36 (1977), 427-440.
Bjornar Tessem
Interval probability propagation
IJAR 7 (1992), 95-120.
Bjornar Tessem
Approximations for efficient computation in the theory of evidence
Artificial Intelligence 61:2 (1993), 315-329.
H. M. Thoma
Belief function computations
Conditional Logic in Expert Systems, North Holland, 1991, pp. 269-308.
[Algorithms]
Elena Tsiporkova, Bernard De Baets, and Veselka Boeva
Dempster's rule of conditioning translated into modal logic
Fuzzy Sets and Systems 102 (1999), 317-383.
[Logic,combination,conditioning,Dempster]
Elena Tsiporkova, Bernard De Baets, and Veselka Boeva
Evidence theory in multivalued models of modal logic
Journal of Applications of Nonclassical Logic (1999).
[Logic]
Elena Tsiporkova, Veselka Boeva, and Bernard De Baets
Dempster-Shafer theory framed in modal logic
International Journal of Approximate Reasoning 21 (1999), 157-175.
[Logic]
Vakili
Approximation of hints
Tech. report, Institute for Automation and Operation Research, University of Fribourg, Switzerland, Tech. Report 209, 1993.
P. Vasseur, C. Pegard, E. Mouaddib, and L. Delahoche
Perceptual organization approach based on Dempster-Shafer theory
Pattern Recognition 32 (1999), 1449-1462.
Frank Voorbraak
A computationally efficient approximation of Dempster-Shafer theory
International Journal on Man-Machine Studies 30 (1989), 525-536.
Frank Voorbraak
On the justification of Dempster's rule of combination
Artificial Intelligence 48 (1991), 171-197.
[Combination]
Peter Walley
Statistical reasoning with imprecise probabilities
Chapman and Hall, New York, 1991.
Peter Walley
Coherent lower (and upper) probabilities
University of Warwick, Coventry (U.K.), Statistics Research Report 22, 1981.
Peter Walley
The elicitation and aggregation of beliefs
University of Warwick, Coventry (U.K.), 1982, Statistics Research Report 23.
Peter Walley
Belief function representations of statistical evidence
The Annals of Statistics 15 (1987), 1439-1465.
Peter Walley
Measures of uncertainty in expert systems
Artificial Intelligence 83 (1996), 1-58.
Peter Walley
Imprecise probabilities
The Encyclopedia of Statistical Sciences (C. B. Read, D. L. Banks, and S. Kotz, eds.), Wiley, New York (NY), 1997.
Peter Walley
Towards a unified theory of imprecise probability
International Journal of Approximate Reasoning 24 (2000), 125-148.
Peter Walley and Terry L. Fine
Towards a frequentist theory of upper and lower probability
The Annals of Statistics 10 (1982), 741-761.
Chua-Chin Wang and Hon-Son Don
Evidential reasoning using neural networks
Proceedings of IEEE, 1991, pp. 497-502.
Chua-Chin Wang and Hon-Son Don
A geometrical approach to evidential reasoning
Proceedings of IEEE, 1991, pp. 1847-1852.
Chua-Chin Wang and Hon-Son Don
The majority theorem of centralized multiple bams networks
Information Sciences 110 (1998), 179-193.
Chua-Chin Wang and Hon-Son Don
A robust continuous model for evidential reasoning
Journal of Intelligent and Robotic Systems: Theory and Applications 10:2 (June 1994), 147-171.
Zhenyuan Wang and George J. Klir
Choquet integrals and natural extensions of lower probabilities
International Journal of Approximate Reasoning 16 (1997), 137-147.
Chua-Chin Wanga and Hon-Son Don
A polar model for evidential reasoning
Information Sciences 77:3-4 (March 1994), 195-226.
L. A. Wasserman
Belief functions and statistical inference
Canadian Journal of Statistics 18 (1990), 183-196.
L. A. Wasserman
Comments on Shafer's "Perspectives on the theory and practice of belief functions"
International Journal of Approximate Reasoning 6 (1992), 367-375.
L. A. Wasserman
Prior envelopes based on belief functions
Annals of Statistics 18 (1990), 454-464.
T. Weiler
Approximation of belief functions
IJUFKS 11 (2003), no. 6, 749-777.
Leonard P. Wesley
Evidential knowledge-based computer vision
Optical Engineering 25 (1986), 363-379.
Leonard P. Wesley
Autonomous locative reasoning: an evidential approach
Proceedings of IEEE, 1993, pp. 700-707.
H. Whitney
On the abstract properties of linear dependence
American Journal of Mathematics 57 (1935), 509-533.
M. J. Wierman
Measuring conflict in evidence theory
Proceedings of the Joint 9th IFSA World Congress, Vancouver, BC, Canada, vol. 3, 2001, pp. 1741-1745.
S. T. Wierzchon and M. A. Klopotek
Modified component valuations in valuation based systems as a way to optimize query processing
Journal of Intelligent Information Systems 9 (1997), 157-180.
P. M. Williams
On a new theory of epistemic probability
British Journal for the Philosophy of Science 29 (1978), 375-387.
P. M. Williams
Discussion of Shafer's paper
Journal of the Royal Statistical Society B 44 (1982), 322-352.
Nic Wilson
Chapter 10 : Belief functions algorithms
Algorithms for Uncertainty and Defeasible Reasoning
Nic Wilson
The combination of belief: when and how fast?
International Journal of Approximate Reasoning 6 (1992), 377-388.
[Combination]
Nic Wilson
How much do you believe
International Journal of Approximate Reasoning 6 (1992), 345-365.
Nic Wilson
The representation of prior knowledge in a Dempster-Shafer approach
TR/Drums Conference, Blanes, 1991.
S. K. M. Wong and Pawan Lingas
Generation of belief functions from qualitative preference relations
Proceedings of the Third International Conference (IPMU'90), 1990, pp. 427-429.
S. K. M. Wong and Pawan Lingras
Representation of qualitative user preference by quantitative belief functions
IEEE Transactions on Knowledge and Data Engineering 6:1 (February 1994), 72-78.
S. K. M. Wong, Y. Y. Yao, P. Bollmann, and H. C. Burger
Axiomatization of qualitative belief structure
IEEE Transactions on Systems, Man, and Cybernetics 21 (1990), 726-734.
Yan Xia, S. S. Iyengar, and N. E. Brener
An event driven integration reasoning scheme for handling dynamic threats in an unstructured environment
Artificial Intelligence 95 (1997), 169-186.
Hong Xu
Computing marginals from the marginal representation in Markov trees
Artificial Intelligence 74 (1995), 177-189.
Hong Xu and Philippe Smets
Generating explanations for evidential reasoning
Proceedings of the 11th Uncertainty in Artificial Intelligence (Besnard Ph. and Hanks S., eds.), 1995, pp. 574-581.
Hong Xu and Philippe Smets
Reasoning in evidential networks with conditional belief functions
International Journal of Approximate Reasoning 14 (1996), 155-185.
[Conditioning,graphical models]
Hong Xu and Philippe Smets
Some strategies for explanations in evidential reasoning
IEEE Transactions on Systems, Man and Cybernetics 26:5 (1996), 599-607.
Hong Xu
Valuation-based systems for decision analysis using belief functions
Decision Support Systems 20 (1997), 165-184.
[Decision]
Ronald R. Yager
On the Dempster-Shafer framework and new combination rules
Information Sciences 41 (1987), 93-138.
[Combination]
Ronald R. Yager
Decision making under Dempster-Shafer uncertainties
Tech. report, Machine Intelligence Institute, Iona College, Tech. Report MII-915.
[Decision]
Ronald R. Yager
Nonmonotonicity and compatibility relations in belief structures
Ronald R. Yager
Entropy and specificity in a mathematical theory of evidence
International Journal of General Systems 9 (1983), 249-260.
Ronald R. Yager
Arithmetic and other operations on Dempster-Shafer structures
International Journal of Man-Machine Studies 25 (1986), 357-366.
Ronald R. Yager
On the normalization of fuzzy belief structures
International Journal of Approximate Reasoning 14 (1996), 127-153.
Ronald R. Yager
Class of fuzzy measures generated from a Dempster-Shafer belief structure
International Journal of Intelligent Systems 14 (1999), 1239-1247.
Ronald R. Yager
Modeling uncertainty using partial information
Information Sciences 121 (1999), 271-294.
Ronald R. Yager
The entailment principle for Dempster-Shafer granules
International Journal of Intelligent Systems 1 (1986), 247-262.
Ronald R. Yager
On the Dempster-Shafer framework and new combination rules
Information Sciences 41 (1987), 93-138.
A. Ben Yaghlane, Thierry Denoeux, and Khaled Mellouli
Coarsening approximations of belief functions
Proceedings of ECSQARU'2001 (S. Benferhat and P. Besnard, eds.), 2001, pp. 362-373.
B. Ben Yaghlane and Khaled Mellouli
Belief function propagation in directed evidential networks
Proc. of IPMU, 2006.
B. Ben Yaghlane, Philippe Smets, and Khaled Mellouli
Independence concepts for belief functions
Proceedings of Information Processing and Management of Uncertainty (IPMU'2000), 2000.
[Independence]
Y. Y. Yao and P. J. Lingras
Interpretations of belief functions in the theory of rough sets
Information Sciences 104(1-2) (1998), 81-106.
[Rough sets]
John Yen
GERTIS: a Dempster-Shafer approach to diagnosing hierarchical hypotheses
Communications ACM 32 (1989), 573-585.
[Frameworks]
John Yen
Generalizing the Dempster-Shafer theory to fuzzy sets
IEEE Transactions on Systems, Man, and Cybernetics 20(3) (1990), 559-569.
[Fuzzy]
John Yen
Computing generalized belief functions for continuous fuzzy sets
International Journal of Approximate Reasoning 6 (1992), 1-31.
Virginia R. Young and Shaun S. Wang
Updating non-additive measures with fuzzy information
Fuzzy Sets and Systems 94 (1998), 355-366.
[Combination,fuzzy]
Chunhai Yu and Fahard Arasta
On conditional belief functions
International Journal of Approximate Reasoning 10 (1994), 155-172.
[Conditioning]
Lofti A. Zadeh
A mathematical theory of evidence (book review)
AI Magazine 5:3 (1984), 81-83.
[Foundations]
Lofti A. Zadeh
A simple view of the Dempster-Shafer theory of evidence and its implications for the rule of combination
AI Magazine 7:2 (1986), 85-90.
[Combination]
Marco Zaffalon and Enrico Fagiuoli
Tree-based credal networks for classification.
[Credal sets, graphical models]
D. K. Zarley
An evidential reasoning system
Tech. report, No.206, University of Kansas, 1988.
[Frameworks]
D. K. Zarley, Y.T. Hsia, and Glenn Shafer
Evidential reasoning using DELIEF
Proc. Seventh National Conference on Artificial Intelligence, Vol. 1, 1988, pp. 205-209.