Graded Equipollence of Fuzzy Sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F09%3A00020726" target="_blank" >RIV/61989100:27510/09:00020726 - isvavai.cz</a>
Alternative codes found
RIV/61988987:17610/09:A1000WSK
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Graded Equipollence of Fuzzy Sets
Original language description
The aim of this contribution is to propose an approach to comparing fuzzy sets from the cardinality point of view. The idea is based on a transformation of one fuzzy set to another one in some degree, where one-to-one mappings between suitable sets are used. To ensure the correctness of degrees in which there exist correspondences between fuzzy sets we introduce a class of sets and consider fuzzy sets and fuzzy classes with universes of discourse from this universe. We introduce a degree in which two fuzzy sets are equipollent and show that these degrees define a similarity relation on the class of all fuzzy sets. Some simplifications of the original definition of the concept of ``being equipollent'' are proposed and several properties are demonstrated.
Czech name
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Czech description
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Project
<a href="/en/project/IAA108270901" target="_blank" >IAA108270901: Cardinality of Fuzzy Sets and Fuzzy Quantifiers</a><br>
Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of IFSA World Congress/EUSFLAT Conference
ISBN
978-989-95079-6-8
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
Universidade Técnica de Lisboa
Place of publication
Lisabon
Event location
Lisabon
Event date
Jul 20, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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