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Bibliografie

Monography Chapter

Belief functions on MV-algebras of fuzzy sets: an overview

Flaminio T., Godo L., Kroupa Tomáš

: Non-Additive Measures: Theory and Applications, p. 173-200 , Eds: Torra Vicenc, Narukawa Yasuo, Sugeno Michio

: GA13-20012S, GA ČR

: belief function, MV-algebra, fuzzy logic

: 10.1007/978-3-319-03155-2_7

: http://library.utia.cas.cz/separaty/2013/MTR/kroupa-0399109.pdf

(eng): Belief functions are the measure theoretical objects Dempster-Shafer evidence theory is based on. They are in fact totally monotone capacities, and can be regarded as a special class of measures of uncertainty used to model an agent’s degrees of belief in the occurrence of a set of events by taking into account different bodies of evidence that support those beliefs. In this chapter we present two main approaches to extending belief func- tions on Boolean algebras of events to MV-algebras of events, modelled as fuzzy sets, and we discuss several properties of these generalized mea- sures. In particular we deal with the normalization and soft-normalization problems, and on a generalization of Dempster’s rule of combination.

: BA

: 10101