Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets

M.; M. Mary

doi:https://doi.org/10.54216/IJNS.260108

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Volume 26 • Issue 1 • PP: 94-107 • 2025

Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets

M. Mala ^1*

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,

M. Mary Jansirani ²

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¹Research Scholar, School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology; Tiruchirappalli Campus, SRM Nagar, Trichy – Chennai Highway, Near Samayapuram, Tiruchi

²Associate Professor, School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology; Tiruchirappalli Campus, SRM Nagar, Trichy – Chennai Highway, Near Samayapuram, Tiru

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.260108

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Received: October 22, 2024 Revised: January 15, 2025 Accepted: February 18, 2025

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Abstract

This paper introduces the concept of -(3,2) ƒuzzy ᵴemigroups within an -ᵴemigroup and explore their characterizations. Various comparable conditions for -(3,2) ƒuzzy normal subᵴemigroups are established. Additionally, the -(3,2) ƒuzzy coset, -(3,2) ƒuzzy ideal, -(3,2) ƒuzzy symmetric ᵴemigroup and -(3,2) ƒuzzy normal subᵴemigroups are defined. The idea of conjugate -(3,2) ƒuzzy ᵴemigroups is also introduced, and the order of an -(3,2) ƒuzzy ᵴemigroup is determined. The (3,2) ƒuzzy semigroup condition applied to decision making process also.

Keywords

-ᵴemigroups[SSG] -&fnof uzzy ᵴemigroups[SFSG] -&fnof uzzy normal subᵴemigroup[SFNSG] -(3 2) &fnof uzzy ᵴemigroups[S(3 2)FSG] -non (3 2) &fnof uzzy ᵴemigroups[SN(3 2)FSG] &nbsp - strong (3 2) &fnof uzzy ᵴemigroups[SS(3 2)FSG] -(3 2) &fnof uzzy normal subᵴemigroups[S(3 2)FNSSG] -(3 2) &fnof uzzy Ideals [S(3 2)FI] -(3.2) &fnof uzzy hyper subᵴemigroup[S(3 2)FHSSG] -(3 2) &fnof uzzy subᵴemigroup[S(3 2)FSSG] -conjugate (3 2) &fnof uzzy subᵴemigroups[SC(3 2)FSSG] -(3 2) &fnof uzzy symmetric ᵴemigroup[S(3 2)FSYSG] &nbsp -(3 2) &fnof uzzy coset [S(3 2)FC]

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Mala, M., Jansirani, M. Mary. "Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 94-107. DOI: https://doi.org/10.54216/IJNS.260108

Mala, M., Jansirani, M. (2025). Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science, Volume 26(Issue 1), 94-107. DOI: https://doi.org/10.54216/IJNS.260108

Mala, M., Jansirani, M. Mary. "Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 94-107. DOI: https://doi.org/10.54216/IJNS.260108

Mala, M., Jansirani, M. (2025) 'Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 94-107. DOI: https://doi.org/10.54216/IJNS.260108

Mala M, Jansirani M. Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):94-107. DOI: https://doi.org/10.54216/IJNS.260108

M. Mala, M. Jansirani, "Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 94-107, 2025. DOI: https://doi.org/10.54216/IJNS.260108

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