A lattice-theoretic interpretation of independence of frames

Fabio Cuzzolin
Interval / Probabilistic Uncertainty and Non-classical Logics, Advances in Soft Computing , Vol. 46, Springer-Verlag, 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 semi-modular 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.
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 BibTeX Entry

@incollection{cuzzolin08unclog-lattice, 
  AUTHOR = "Fabio Cuzzolin", 
  TITLE = "A lattice-theoretic interpretation of independence of frames", 
  BOOKTITLE = "Interval / Probabilistic Uncertainty and Non-classical Logics, Advances in Soft Computing", 
  VOLUME = "46", 
  EDITOR = "Huynh, V.-N.; Nakamori, Y.; Ono, H.; Lawry, J.; Kreinovich, V.; Nguyen, H.T.", 
  PUBLISHER = "Springer-Verlag, Berlin - Heidelberg", 
  YEAR = "2008" 
}

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