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Original title:
An Interpretation of Conflicting Parts of Belief Functions on Two-Element Frame of Discrement
Authors: Daniel, Milan
Document type: Papers
Conference/Event: Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013) /16./, Mariánské Lázně (CZ), 2013-09-19 / 2013-09-22
Year: 2013
Language: eng
Abstract: 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.
Keywords: 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
Project no.: GAP202/10/1826 (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013), ISBN 978-80-245-1950-0
Institution: Institute of Computer Science AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://cjs.fm.vse.cz/data/CJS2013_proceedings.pdf
Original record: http://hdl.handle.net/11104/0224245
Permalink: http://www.nusl.cz/ntk/nusl-156606
The record appears in these collections:
Research > Institutes ASCR > Institute of Computer Science
Conference materials > Papers
Authors: Daniel, Milan
Document type: Papers
Conference/Event: Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013) /16./, Mariánské Lázně (CZ), 2013-09-19 / 2013-09-22
Year: 2013
Language: eng
Abstract: 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.
Keywords: 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
Project no.: GAP202/10/1826 (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of the 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty (CJS-2013), ISBN 978-80-245-1950-0
Institution: Institute of Computer Science AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://cjs.fm.vse.cz/data/CJS2013_proceedings.pdf
Original record: http://hdl.handle.net/11104/0224245
Permalink: http://www.nusl.cz/ntk/nusl-156606
The record appears in these collections:
Research > Institutes ASCR > Institute of Computer Science
Conference materials > Papers
Record created 2013-10-04, last modified 2023-12-06