Original title:
About Two Consonant Conflicts of Belief Functions
Authors:
Daniel, M. ; Kratochvíl, Václav Document type: Papers Conference/Event: Workshop on Uncertainty Processing (WUPES’18), Třeboň (CZ), 20180606
Year:
2018
Language:
eng Abstract:
General belief functions usually bear some internal conflict which comes mainly from disjoint focal elements. Analogously, there is often some conflict between two (or more) belief functions. After the recent observation of hidden conflicts (seminar CJS’17 [17]), appearing at belief functions with disjoint focal elements, importance of interest in conflict of belief functions has increased. This theoretical contribution introduces a new approach to conflicts (of belief functions). Conflicts are considered independently of any combination rule and of any distance measure. Consonant conflicts are based on consonant approximations of belief functions in general; two special cases of the consonant approach based on consonant inverse pignistic and consonant inverse plausibility transforms are discussed. Basic properties of the newly defined conflicts are presented, analyzed and briefly compared with our original approaches to conflict (combinational conflict, plausibility conflict and comparative conflict), with the recent conflict based on non-conflicting parts, as well as with W. Liu’s degree of conflict.
Keywords:
belief function; conflict; consonant Project no.: GA16-12010S (CEP) Funding provider: GA ČR Host item entry: Proceedings of the 11 th Workshop on Uncertainty Processing, ISBN 978-80-7378-361-7