Regular measures on tribes of fuzzy sets

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F04%3A03096566" target="_blank" >RIV/68407700:21230/04:03096566 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Regular measures on tribes of fuzzy sets

Original language description

The classical measure and probability theory is based on the notion of $sigma$-algebra of subsets of a set. Butnariu and Klement generalized it to fuzzy sets by considering collections of fuzzy sets called $T$-tribes (where $T$ denotes a fixed triangular norm). Their concept of $T$-measure is fundamental in the fuzzification of classical measure theory. However, it has been successfully applied elsewhere, too (e.g., in finding solutions of games with fuzzy coalitions). Here we summarize results about characterization of measures on tribes. Unlike preceding papers, we put emphasis on regular measures. We argue that this notion could be considered as a promising alternative to the original notion of Butnariu and Klement.

Czech name

Není k dispozici

Czech description

Není k dispozici

Type

D - Article in proceedings

CEP classification

JD - Use of computers, robotics and its application

OECD FORD branch

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Project

<a href="/en/project/GA201%2F02%2F1540" target="_blank" >GA201/02/1540: Many-valued logics for soft computing</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2004

Confidentiality

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

Article name in the collection

Mathematics of Fuzzy Systems

ISBN

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ISSN

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e-ISSN

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Number of pages

9

Pages from-to

153-161

Publisher name

Johannes Kepler University

Place of publication

Linz

Event location

Linz

Event date

Feb 3, 2004

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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