Generalization of bi-antiideals in semigroups

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F26%3A00564228" target="_blank" >RIV/60162694:G43__/26:00564228 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.ejpam.com/index.php/ejpam/issue/view/77" target="_blank" >https://www.ejpam.com/index.php/ejpam/issue/view/77</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.29020/nybg.ejpam.v18i1.5646" target="_blank" >10.29020/nybg.ejpam.v18i1.5646</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Generalization of bi-antiideals in semigroups

Popis výsledku v původním jazyce

Algebraic structure consisting of a set together with an associative internal binary operation on it, so called semigroup has applications in different fields of science. For a better understanding of these applications, semigroups are characterized through their subsets. Fuzzy sets deal with uncertainties, and because many real-life problems have an associated algebraic structure, fuzzification of these structures makes sense and is useful. This paper investigates the generalization of bi-antiideals in semigroups and their fuzzification to enhance understanding of algebraic structures with uncertainties. Building upon prior research, we define and explore (m, n)bi-antiideals as an extension of bi-antiideals, studying their properties through theoretical analysis and illustrative examples. We introduce fuzzy (m, n)-bi-antiideals by leveraging fuzzy set theory to model uncertainties, establishing a connection with (m, n)-bi-antiideals via level sets.

Název v anglickém jazyce

Generalization of bi-antiideals in semigroups

Popis výsledku anglicky

Algebraic structure consisting of a set together with an associative internal binary operation on it, so called semigroup has applications in different fields of science. For a better understanding of these applications, semigroups are characterized through their subsets. Fuzzy sets deal with uncertainties, and because many real-life problems have an associated algebraic structure, fuzzification of these structures makes sense and is useful. This paper investigates the generalization of bi-antiideals in semigroups and their fuzzification to enhance understanding of algebraic structures with uncertainties. Building upon prior research, we define and explore (m, n)bi-antiideals as an extension of bi-antiideals, studying their properties through theoretical analysis and illustrative examples. We introduce fuzzy (m, n)-bi-antiideals by leveraging fuzzy set theory to model uncertainties, establishing a connection with (m, n)-bi-antiideals via level sets.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

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

European Journal of Pure and Applied Mathematics

ISSN

—

e-ISSN

1307-5543

Svazek periodika

18

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

5646

Kód UT WoS článku

001460744700004

EID výsledku v databázi Scopus

2-s2.0-85217803692