Morphisms of Dempster's Semigroup: A Revision and Interpretation

0367898 - ÚI 2012 RIV CZ eng C - Conference Paper (international conference)
Daniel, Milan
Morphisms of Dempster's Semigroup: A Revision and Interpretation.
Proceedings of 14th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2011. Praha: Matfyzpress, 2011 - (Barták, R.), s. 26-34. ISBN 978-80-7378-179-8.
[Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /14./. Hejnice (CZ), 18.09.2011-21.09.2011]
R&D Projects: GA ČR GAP202/10/1826
Institutional research plan: CEZ:AV0Z10300504
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

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.
Permanent Link: http://hdl.handle.net/11104/0202411