Název:
An Interpretation of Conflicting Parts of Belief Functions on Two-Element Frame of Discrement
Autoři:
Daniel, Milan Typ dokumentu: Příspěvky z konference Konference/Akce: Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013) /16./, Mariánské Lázně (CZ), 2013-09-19 / 2013-09-22
Rok:
2013
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
belief function; conflict between belief functions; conflicting part of belief function; Dempster's semigroup; Dempster-Shafer theory; internal conflict; non-conflicting part of belief function; uncertainty Číslo projektu: GAP202/10/1826 (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013), ISBN 978-80-245-1950-0