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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 15th International Joint Conference on Computational Intelligence

ISBN

978-989-758-674-3

ISSN

2184-3236

e-ISSN

—

Počet stran výsledku

10

Strana od-do

327-337

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Řím

Datum konání akce

13. 11. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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