Generalization of bi-antiideals in semigroups
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Generalization of bi-antiideals in semigroups
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Journal of Pure and Applied Mathematics
ISSN
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e-ISSN
1307-5543
Volume of the periodical
18
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
5646
UT code for WoS article
001460744700004
EID of the result in the Scopus database
2-s2.0-85217803692