Milan Daniel

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Non-conflicting and Conflicting Parts of Belief Functions

Abstract

Non-conflicting and conflicting parts of belief functions are introduced in this study. The unique decomposition of a belief function defined on a two-element frame of discernment to non-conflicting and indecisive conflicting belief function is presented. Several basic statements about algebra of belief functions on a general finite frame of discernment are introduced and unique non-conflicting part of a BF on an $n$-element frame of discernment is presented here.

Keywords

belief function, Dempster-Shafer theory, Dempster's semigroup, conflict between belief functions, uncertainty, non-conflicting part of belief function, conflicting part of belief function.

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Authors’ addresses

Pod vodarenskou vezi 2,
CZ-182 07 Prague 8

E-mail addresses

Milan Daniel

milan.daniel@cs.cas.cz