International Journal of Neutrosophic Science

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Volume 26 , Issue 1 , PP: 94-107, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets

M. Mala 1 * , M. Mary Jansirani 2 *

  • 1 Research Scholar, School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology; Tiruchirappalli Campus, SRM Nagar, Trichy – Chennai Highway, Near Samayapuram, Tiruchirappalli – 621105, Tamil Nadu, India - (malamanimaran@gmail.com)
  • 2 Associate Professor, School of Sciences, Division of Mathematics, SRM- Institute of Science and Technology; Tiruchirappalli Campus, SRM Nagar, Trichy – Chennai Highway, Near Samayapuram, Tiruchirappalli – 621105, Tamil Nadu, India - ( anthuvanjansi@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.260108

    Received: October 22, 2024 Revised: January 15, 2025 Accepted: February 18, 2025
    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] ,   , - 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] ,   , -(3,2) &fnof , uzzy coset [S(3,2)FC]

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    Cite This Article As :
    Mala, M.. , Mary, M.. Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 94-107. DOI: https://doi.org/10.54216/IJNS.260108
    Mala, M. Mary, M. (2025). Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science, (), 94-107. DOI: https://doi.org/10.54216/IJNS.260108
    Mala, M.. Mary, M.. Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science , no. (2025): 94-107. DOI: https://doi.org/10.54216/IJNS.260108
    Mala, M. , Mary, M. (2025) . Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science , () , 94-107 . DOI: https://doi.org/10.54216/IJNS.260108
    Mala M. , Mary M. [2025]. Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets. International Journal of Neutrosophic Science. (): 94-107. DOI: https://doi.org/10.54216/IJNS.260108
    Mala, M. Mary, M. "Smarandache Fuzzy Semigroups Using (3, 2) Fuzzy Sets," International Journal of Neutrosophic Science, vol. , no. , pp. 94-107, 2025. DOI: https://doi.org/10.54216/IJNS.260108