An Interpretation of Conflicting Parts of Belief Functions on Two-Element Frame of Discrement

0396489 - ÚI 2014 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Daniel, Milan
An Interpretation of Conflicting Parts of Belief Functions on Two-Element Frame of Discrement.
Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013). Jindřichův Hradec: Faculty of Management, University of Economics, Jindřichův Hradec, 2013 - (Kratochvíl, V.; Vejnarová, J.), s. 187-196. ISBN 978-80-245-1950-0.
[Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013) /16./. Mariánské Lázně (CZ), 19.09.2013-22.09.2013]
Grant CEP: GA ČR GAP202/10/1826
Institucionální podpora: RVO:67985807
Klíčová slova: belief function * Dempster-Shafer theory * uncertainty * Dempster's semigroup * internal conflict * conflict between belief functions * non-conflicting part of belief function * conflicting part of belief function
Kód oboru RIV: BA - Obecná matematika
http://cjs.fm.vse.cz/data/CJS2013_proceedings.pdf

When combining belief functions by the conjunctive rules of combination, conflicts often appear, which are assigned to empty set by un-normalized conjunctive rule or normalized by Dempster's rule of combination. This contribution is devoted to an interpretation of the conflicting part of a belief function on a two-element frame of discernment. It is based on the author's idea of the unique decomposition of such function into its conflicting and non-conflicting part (CJS 2010, Otaru). A relation of conflicting part of a belief function to internal conflict of the function is also studied and a new definition of internal conflict is introduced. New internal conflict is compared with the previous approaches. Keywords: Belief function, Dempster-Shafer theory, uncertainty, Dempster's semigroup, internal conflict, conflict between belief functions, non-conflicting part of belief function, conflicting part of belief function.
Trvalý link: http://hdl.handle.net/11104/0224245