Closure theory for semirings-valued fuzzy sets with applications to new fuzzy structures

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402GSM" target="_blank" >RIV/61988987:17610/23:A2402GSM - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0888613X23000841" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X23000841</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijar.2023.108953" target="_blank" >10.1016/j.ijar.2023.108953</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Closure theory for semirings-valued fuzzy sets with applications to new fuzzy structures

Popis výsledku v původním jazyce

Many of the new fuzzy structures, including intuitionistic, neutrosophic, or fuzzy soft sets, define their oven theories and methods for operations with their fuzzy structures, including topological constructions. In the paper we show how basic closure methods could be universally defined in a number of new fuzzy structures, without having to define a new theory for individual fuzzy structures. This approach is based on the transformation of these fuzzy structures into a new type of fuzzy set, called $AMV$-valued fuzzy sets, whose value sets are special pairs $R$ of commutative and idempotent semirings. The main advantage of this procedure is that all theoretical results that are proved for $AMV$-valued fuzzy sets can be relatively easily transformed into an analogous result in all new fuzzy structures that can be transformed into $AMV$-valued fuzzy sets, without the need to prove this result for individual types of fuzzy structures.

Název v anglickém jazyce

Closure theory for semirings-valued fuzzy sets with applications to new fuzzy structures

Popis výsledku anglicky

Many of the new fuzzy structures, including intuitionistic, neutrosophic, or fuzzy soft sets, define their oven theories and methods for operations with their fuzzy structures, including topological constructions. In the paper we show how basic closure methods could be universally defined in a number of new fuzzy structures, without having to define a new theory for individual fuzzy structures. This approach is based on the transformation of these fuzzy structures into a new type of fuzzy set, called $AMV$-valued fuzzy sets, whose value sets are special pairs $R$ of commutative and idempotent semirings. The main advantage of this procedure is that all theoretical results that are proved for $AMV$-valued fuzzy sets can be relatively easily transformed into an analogous result in all new fuzzy structures that can be transformed into $AMV$-valued fuzzy sets, without the need to prove this result for individual types of fuzzy structures.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centrum pro výzkum a vývoj metod umělé intelligence v automobilovém průmyslu regionu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

INT J APPROX REASON

ISSN

0888-613X

e-ISSN

—

Svazek periodika

—

Číslo periodika v rámci svazku

2023

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

1-25

Kód UT WoS článku

001035543600001

EID výsledku v databázi Scopus

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