Original title: Morphisms of Dempster's Semigroup: A Revision and Interpretation
Authors: Daniel, Milan
Document type: Papers
Conference/Event: Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /14./, Hejnice (CZ), 2011-09-18 / 2011-09-21
Year: 2011
Language: eng
Abstract: Analyzing three new approaches to interpretation, definition, and measurement of conflicts of belief Functions (BFs), we previously observed a possibility of expression of a BF Bel as Dempster's sum of non-conflicting BF Bel0 with the same plausibility decisional support as the original BF Bel has and of indecisive BF BelS which does not prefer any of the elements of frame of discernment. Based on this observation, the theory of homomorphisms of Dempster's semigroup (the algebra of non-extremal BFs on 2-element frame of discernment with Dempster's rule as its binary operation) is updated in the present contribution. New homomorphisms are introduced; their interpretation and relation to the original ones are presented.
Keywords: belief function; conflict between belief functions; conflicting part of belief function; Dempster's semigroup; Dempster-Shafer theory; non-conflicting part of belief function; uncertainty
Project no.: CEZ:AV0Z10300504 (CEP), GAP202/10/1826 (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of 14th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2011, ISBN 978-80-7378-179-8

Institution: Institute of Computer Science AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0202411

Permalink: http://www.nusl.cz/ntk/nusl-77416


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