Antiideal theory in semigroups and its fuzzification

dc.contributor.author	Tahan, Madeleine Al
dc.contributor.author	Hoskova-Mayerova, Sarka
dc.contributor.author	Davvaz, Bijan
dc.contributor.author	Harikrishnan, Panackal
dc.date.accessioned	2026-01-19T07:22:23Z
dc.date.available	2026-01-19T07:22:23Z
dc.date.issued	2025-10
dc.description.abstract	Algebraic systems are better understood through their subsets. On the other hand, fuzzy sets help in dealing with ambiguities. The combination of these concepts led to founding the theory of fuzzy algebraic structures. This paper studies semigroups through their antiideals and bi-antiideals and fuzzifies them. First, it investigates the properties of antiideals and bi-antiideals of semigroups. Then it fuzzifies these concepts to fuzzy antiideals and fuzzy bi-antiideals of semigroups. Finally, it studies these new concepts and establishes a relationship between them and antiideals (bi-antiideals) of semigroups through level sets. Keywords Antiideal, Bi-antiideal, Fuzzy antiideal, Fuzzy bi-antiideal, Level set
dc.identifier.citation	Al-Tahan, M., Davvaz, B., Harikrishnan, P. K., & Hoskova-Mayerova, S. Antiideal theory in semigroups and its fuzzification. 2023.
dc.identifier.doi	https://doi.org/10.1007/s00500-025-10918-z
dc.identifier.uri	https://repository.adu.ac.ae/handle/1/8012
dc.language.iso	en_US
dc.publisher	Springer Science and Business Media Deutschland GmbH
dc.title	Antiideal theory in semigroups and its fuzzification
dc.type	Article

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