International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3618 2020 2020 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 M. M. 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 M. Mary Jansirani 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. 2025 2025 94 107 10.54216/IJNS.260108 https://www.americaspg.com/articleinfo/21/show/3618