
A latticetheoretic interpretation of independence of frames 


Fabio Cuzzolin
Interval / Probabilistic Uncertainty and Nonclassical Logics, Advances in Soft Computing , Vol. 46, SpringerVerlag, Berlin  Heidelberg, 2008 
Abstract 
In this paper we discuss the nature of independence of sources in the theory of evidence from an algebraic point of view, starting from the analogy with the case of projective geometries. Independence in Dempster's rule is equivalent to independence of frames as Boolean algebras. Collection of frames, though, can be interpreted as semimodular lattices on which independence can be defined in several different forms. We prove those forms to be distinct but related to Boolean independence, as a step towards a more general definition of this fundamental notion.

Download 
PDF
Zipped Postscript 
BibTeX Entry 
@incollection{cuzzolin08uncloglattice,
AUTHOR = "Fabio Cuzzolin",
TITLE = "A latticetheoretic interpretation of independence of frames",
BOOKTITLE = "Interval / Probabilistic Uncertainty and Nonclassical Logics, Advances in Soft Computing",
VOLUME = "46",
EDITOR = "Huynh, V.N.; Nakamori, Y.; Ono, H.; Lawry, J.; Kreinovich, V.; Nguyen, H.T.",
PUBLISHER = "SpringerVerlag, Berlin  Heidelberg",
YEAR = "2008"
} 