Properties of Plausibility Conflict of Belief Functions

Authors: Milan Daniel
Publication year: 2013
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: Artificial Intelligence and Soft Computing
Projects: Mathematical Fuzzy Logic in Computer Science
Bibliographic citation: DANIEL, Milan. Properties of Plausibility Conflict of Belief Functions. In: RUTKOWSKI, L., KORYTKOWSKI, M., SCHERER, R., TADEUSIEWICZ, R., ZADEH, L.A., ZURADA, J.M., eds. Artificial Intelligence and Soft Computing. Berlin: Springer, 2013, S. 235-246. Lecture Notes in Artificial Intelligence, 7894. ISBN 978-3-642-38657-2. ISSN 0302-9743
Dostupné z: doi:10.1007/978-3-642-38658-9_22
DOI: 10.1007/978-3-642-38658-9_22
ID: 393126

Abstract

This theoretical contribution studies mathematical properties of plausibility conflict of belief functions. The analysis is performed for belief functions defined on 2-element frames, then the results are generalized to general finite frames. After that, an analogous analysis of Liu’s degree of conflict is presented, to enable its comparison to the plausibility conflict. To be more efficient, a simplification of formula and computation of Liu’s degree of conflict is suggested. A series of examples and graphical demonstrations are included.