Plausibility in DSmT

Authors: Milan Daniel
Publication year: 2012
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: Belief Functions: Theory and Applications
Projects: Mathematical Fuzzy Logic in Computer Science
Bibliographic citation: DANIEL, Milan. Plausibility in DSmT. In: DENOEUX, T., MASSON, M.H., eds. Belief Functions: Theory and Applications. Heidelberg: Springer, 2012, S. 179-187. Advances in Intelligent and Soft Computing, 164. ISBN 978-3-642-29460-0. ISSN 1867-5662
Dostupné z: doi:10.1007/978-3-642-29461-7_21
DOI: 10.1007/978-3-642-29461-7_21
ID: 379834

Abstract

Preparing for generalization of results on conflicts of classic belief function to DSm approach, we need normalized plausibility of singletons also in DSmT. To enable this, plausibility of DSm generalized belief functions is analyzed and compared on entire spectrum of DSm models for various types of belief functions; from simple uniform distribution, through general classic belief function, to general generalized belief function in full generality. Both numeric and comparative variability with respect to particular DSm models has been observed and described. This comparative study enables deeper understanding of plausibility in DSm approach and also underlines the sensitivity to selection of particular DSm models. Figure of elements of DSm domain—DSm hyper-power set—and figures representing particular DSm models (the free DSm model, hybrid DSm models, and Shafer’s model) throughout the text enable better understanding of DSm principles. Further, a notion of non-conflicting DSm model is introduced and characterized towards the end of the study.