Belief Functions: A Revision of Plausibility Conflict and Pignistic Conflict

0396394 - ÚI 2014 RIV DE eng C - Conference Paper (international conference)
Daniel, Milan
Belief Functions: A Revision of Plausibility Conflict and Pignistic Conflict.
Scalable Uncertainty Management. Berlin: Springer, 2013 - (Liu, W.; Subrahmanian, V.; Wijsen, J.), s. 190-203. Lecture Notes in Artificial Intelligence, 8078. ISBN 978-3-642-40380-4. ISSN 0302-9743.
[SUM 2013. International Conference /7./. Washington (US), 16.09.2013-18.09.2013]
R&D Projects: GA ČR GAP202/10/1826
Institutional support: RVO:67985807
Keywords : belief functions * Dempster-Shafer theory * internal conflict * conflict between belief functions * plausibility conflict * pignistic conflict * degree of conflict * uncertainty
Subject RIV: BA - General Mathematics

Plausibility conflict of belief functions is based on decisional support / opposition of elements of a frame of discernment. It distinguishes conflict between belief functions from internal conflicts of individual functions. This contribution presents a revision of plausibility conflict between belief functions. According to four types of conflicting sets, four variants of plausibility conflict are defined. Further, a new alternative approach - pignistic conflict - based on pignistic probability instead of on normalized plausibility of singletons is introduced. Its cautious version may be considered to be an improvement of Liu’s degree of conflict cf. Comparing the approaches, a relation of sum of conflicting belief masses and a relation of a distance of belief functions to conflict between belief functions are also discussed.
Permanent Link: http://hdl.handle.net/11104/0224185