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Morphisms of Dempster's Semigroup: A Revision and Interpretation
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SYSNO ASEP 0367898 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Morphisms of Dempster's Semigroup: A Revision and Interpretation Author(s) Daniel, Milan (UIVT-O) RID, SAI, ORCID Source Title Proceedings of 14th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2011. - Praha : Matfyzpress, 2011 / Barták Roman - ISBN 978-80-7378-179-8 Pages s. 26-34 Number of pages 9 s. Action Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /14./ Event date 18.09.2011-21.09.2011 VEvent location Hejnice Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords belief function ; Dempster-Shafer theory ; Dempster's semigroup ; conflict between belief functions ; uncertainty ; non-conflicting part of belief function ; conflicting part of belief function Subject RIV BA - General Mathematics R&D Projects GAP202/10/1826 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) Annotation 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012
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