A Probabilistic Approach to the Modeling of the Relationship Between Fuzzy Sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1701FMH" target="_blank" >RIV/61988987:17610/16:A1701FMH - 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
A Probabilistic Approach to the Modeling of the Relationship Between Fuzzy Sets
Original language description
Instead of degrees, we model a partial membershipof an object to a fuzzy set as a (crisp) subset of a special abstract universe of so-called membership quanta. That allows us to define the operations on fuzzy sets on the basis of classical set operations. As a result, there is not a freedom of choosing a t-norm for intersection or a t-conorm for union etc. Instead, the set operations are unique and satisfy all axioms of Boolean algebra. If a measure is defined on the universe of membership quanta, we can obtain membership degrees and show that similarly to the theory of probability also the membership degrees of intersections are governed by copulas.
Czech name
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Czech description
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Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
IEEE World Congrees on Computational Intelligence (IEEE WCCI 2016)
ISBN
978-1-5090-0625-0
ISSN
1098-7584
e-ISSN
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Number of pages
8
Pages from-to
280-287
Publisher name
IEEE
Place of publication
Vancouver, Canada
Event location
Vancouver, Canada
Event date
Jul 24, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000392150700039

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