Conflicts of Belief Functions: Continuity and Frame Resizement

0434592 - ÚI 2015 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
Daniel, Milan - Ma, J.
Conflicts of Belief Functions: Continuity and Frame Resizement.
Scalable Uncertainty Management. Cham: Springer, 2014 - (Straccia, U.; Cali, A.), s. 106-119. Lecture Notes in Artificial Intelligence, 8720. ISBN 978-3-319-11507-8. ISSN 0302-9743.
[SUM 2014. International Conference /8./. Oxford (GB), 15.09.2014-17.09.2014]
Grant CEP: GA ČR GAP202/10/1826
Grant ostatní: EU INFER(XE) 251617
Program: FP7
Institucionální podpora: RVO:67985807
Klíčová slova: Belief functions * Dempster-Shafer theory * uncertainty * plausibility conflict * pignistic conflict * degree of conflict * continuity * extension of a frame of discernment * refinement of a frame of discernment
Kód oboru RIV: BA - Obecná matematika

Plausibility and pignistic conflict of belief functions are briefly recalled in this study. These measures of conflict are based on two different probability transformations of belief functions, normalised plausibility of singletons Pl_C and Smets’ pignistic probability BetP. Continuity properties and relationship of these conflict measures to extension and refinement of a frame of discernment are investigated here. A new continuous improvement of both the measures which is preserved by a frame extension is introduced. A relation of the new conflict measures to refinement of a frame of discernment is also discussed. Finally a comparison between the new measure and the two original measures as well as W. Liu’s degree of conflict cf is presented.
Trvalý link: http://hdl.handle.net/11104/0238577