Characterizing a semigroup by its fuzzy interior antiideals and fuzzy <i>m</i>-interior antiideals

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564363" target="_blank" >RIV/60162694:G43__/26:00564363 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s13370-025-01287-9" target="_blank" >https://doi.org/10.1007/s13370-025-01287-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s13370-025-01287-9" target="_blank" >10.1007/s13370-025-01287-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Characterizing a semigroup by its fuzzy interior antiideals and fuzzy <i>m</i>-interior antiideals

Popis výsledku v původním jazyce

Fuzzy sets serve as an extension of traditional sets, capable of handling imprecise information. On the other hand, semigroups represent a broader category than groups, finding utility across various interdisciplinary domains. Diverse subsets of semigroups have been investigated to enhance comprehension of their practical applications. Given the significance of both these ideas, exploring fuzzy subsets within semigroups carries substantial importance. In this paper, we characterize a semigroup through one of its (fuzzy) subsets; (fuzzy) interior antiideals. More precisely, we define interior antiideals and m-interior antiideals of a semigroup, illustrate them by examples, and study their properties. Furthermore, we extend this notion into a fuzzy context, examining the characteristics of fuzzy interior antiideals and fuzzy m-interior antiideals of a semigroup.

Název v anglickém jazyce

Characterizing a semigroup by its fuzzy interior antiideals and fuzzy <i>m</i>-interior antiideals

Popis výsledku anglicky

Fuzzy sets serve as an extension of traditional sets, capable of handling imprecise information. On the other hand, semigroups represent a broader category than groups, finding utility across various interdisciplinary domains. Diverse subsets of semigroups have been investigated to enhance comprehension of their practical applications. Given the significance of both these ideas, exploring fuzzy subsets within semigroups carries substantial importance. In this paper, we characterize a semigroup through one of its (fuzzy) subsets; (fuzzy) interior antiideals. More precisely, we define interior antiideals and m-interior antiideals of a semigroup, illustrate them by examples, and study their properties. Furthermore, we extend this notion into a fuzzy context, examining the characteristics of fuzzy interior antiideals and fuzzy m-interior antiideals of a semigroup.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

AFRIKA MATEMATIKA

ISSN

1012-9405

e-ISSN

2190-7668

Svazek periodika

36

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

10

Strana od-do

63

Kód UT WoS článku

001450803200001

EID výsledku v databázi Scopus

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