Approximations of new $MV$-valued types of fuzzy sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402KL8" target="_blank" >RIV/61988987:17610/23:A2402KL8 - isvavai.cz</a>
Result on the web
<a href="https://www.semanticscholar.org/paper/Approximations-of-New-MV-Valued-Types-of-Fuzzy-Sets-Mo%C4%8Dko%C5%99/1a34da66a5a6fcb9d9794e3ac16f31ed94a9b274" target="_blank" >https://www.semanticscholar.org/paper/Approximations-of-New-MV-Valued-Types-of-Fuzzy-Sets-Mo%C4%8Dko%C5%99/1a34da66a5a6fcb9d9794e3ac16f31ed94a9b274</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5220/0012157300003595" target="_blank" >10.5220/0012157300003595</a>

Result language
angličtina
Original language name
Approximations of new $MV$-valued types of fuzzy sets
Original language description
Many of the new types of fuzzy sets, such as intuitionistic, neutrosophic, multi-level or fuzzy soft sets and their combinations, can be transformed into one common type of fuzzy sets, called $R$-fuzzy sets, with values in a set $R$ that is a common underlying set of complete commutative idempotent semirings $cal R$ and $cal R^*$. For $R$-fuzzy sets, the theory of lower and upper approximations by $R$-relations is defined and the basic properties of these approximations are presented. Using examples of the transformation of some new types of $MV$-valued fuzzy sets and corresponding fuzzy relations into R-fuzzy sets and R-fuzzy relations, examples of approximation of these new types of fuzzy sets through their fuzzy relations are presented, without having to define these operators separately for each new type of fuzzy set.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 15th International Joint Conference on Computational Intelligence
ISBN
978-989-758-674-3
ISSN
2184-3236
e-ISSN
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Number of pages
10
Pages from-to
327-337
Publisher name
Springer
Place of publication
Cham
Event location
Řím
Event date
Nov 13, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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