Triangular Norms and Measures of Fuzzy Sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F05%3A03113425" target="_blank" >RIV/68407700:21230/05:03113425 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Triangular Norms and Measures 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 to games with fuzzy coalitions). Here we summarize results about characterization of measures on tribes. More generally, we study signed measures (called charges). Unlike preceding papers, we put emphasis on s-order continuous charges which preserve limits of increasing as well as decreasing sequences of fuzzy sets. 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

Project
<a href="/en/project/GA201%2F02%2F1540" target="_blank" >GA201/02/1540: Many-valued logics for soft computing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name
Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms
ISBN
0-444-51814-2
Number of pages of the result
46
Pages from-to
345-390
Number of pages of the book
—
Publisher name
Elsevier Science
Place of publication
Amsterdam
UT code for WoS chapter
—

Similar results(10)