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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00399109" target="_blank" >RIV/67985556:_____/13:00399109 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-03155-2_7" target="_blank" >http://dx.doi.org/10.1007/978-3-319-03155-2_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-03155-2_7" target="_blank" >10.1007/978-3-319-03155-2_7</a>

Result language
angličtina
Original language name
Belief functions on MV-algebras of fuzzy sets: an overview
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GA13-20012S" target="_blank" >GA13-20012S: Conditional independence structures: algebraic and geometric methods</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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