Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts

0434587 - ÚI 2015 RIV CH eng C - Conference Paper (international conference)
Daniel, Milan
Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts.
Belief Functions: Theory and Applications. Cham: Springer, 2014 - (Cuzzolin, F.), s. 321-330. Lecture Notes in Artificial Intelligence, 8764. ISBN 978-3-319-11190-2. ISSN 0302-9743.
[BELIEF 2014. International Conference /3./. Oxford (GB), 26.09.2014-28.09.2014]
R&D Projects: GA ČR GAP202/10/1826
Institutional support: RVO:67985807
Keywords : belief functions * Dempster-Shafer theory * uncertainty * Dempster’s semigroup * internal conflict * conflict between belief functions * non-conflicting part of belief function * conflicting part of belief function
Subject RIV: BA - General Mathematics

When combining belief functions by conjunctive rules of combination, conflicts often appear, which are assigned to empty set by the non-normalised conjunctive rule or normalised by Dempster’s rule of combination in Dempster-Shafer theory. Combination of conflicting belief functions and interpretation of their conflicts is often questionable in real applications; hence a series of alternative combination rules were suggested and a series of papers on conflicting belief functions have been published and conflicts of belief functions started to be investigated. This theoretical contribution introduces a new definition of conflict between two belief functions on a general finite frame of discernment. Its idea is based on H´ajek-Vald´es algebraic analysis of belief functions, on our previous study of conflicts of belief functions, where internal conflicts of belief functions are distinguished from a conflict between belief functions, and on the decomposition of a belief function into its conflicting and non-conflicting parts. Basic properties of this newly defined conflict are presented, analyzed and briefly compared with our previous approaches to conflict as well as with Liu’s degree of conflict.
Permanent Link: http://hdl.handle.net/11104/0238574