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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA13-20012S" target="_blank" >GA13-20012S: Struktury podmíněné nezávislosti: algebraické a geometrické metody</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Non-Additive Measures: Theory and Applications

ISBN

978-3-319-03154-5

Počet stran výsledku

28

Strana od-do

173-200

Počet stran knihy

200

Název nakladatele

Springer

Místo vydání

Cham

Kód UT WoS kapitoly

000332666300008