Generalization of Bi-antiideals in Semigroups
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5646Keywords:
antiideal, bi-antiideal, $(m,n)$-bi-antiideal, Fuzzy $(m,n)$-bi-antiideal, Level setAbstract
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. In this paper, our aim is to characterize a semigroup through a generalized concept of its bi-antiideals and to fuzzify this concept. In particular, by using fuzzy sets, we studied fuzzy $(m,n)$-bi-antiideals of a semigroup and linked it to $(m,n)$-bi-antiideals by mean of level sets.
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Copyright (c) 2025 Madeleine Al-Tahan, Sarka Hoskova-Mayerova, Saba Al-Kaseasbeh
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