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Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts
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SYSNO ASEP 0434587 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Conflict between Belief Functions: A New Measure Based on Their Non-conflicting Parts Tvůrce(i) Daniel, Milan (UIVT-O) RID, SAI, ORCID Zdroj.dok. Belief Functions: Theory and Applications. - Cham : Springer, 2014 / Cuzzolin F. - ISSN 0302-9743 - ISBN 978-3-319-11190-2 Rozsah stran s. 321-330 Poč.str. 10 s. Forma vydání Tištěná - P Akce BELIEF 2014. International Conference /3./ Datum konání 26.09.2014-28.09.2014 Místo konání Oxford Země GB - Velká Británie Typ akce WRD Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova 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 Vědní obor RIV BA - Obecná matematika CEP GAP202/10/1826 GA ČR - Grantová agentura ČR Institucionální podpora UIVT-O - RVO:67985807 EID SCOPUS 84935874049 DOI https://doi.org/10.1007/978-3-319-11191-9_35 Anotace 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. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2015
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