Fuzzy Regular Sub Semigroups of Partially Ordered Γ- Semigroups

In this paper, the terms Fuzzy regular Γ-Sub semigroup, λ-Cut, Fuzzy left and right regular Γ-Sub semigroup, Fuzzy intra regular Γ-Sub semigroup, Fuzzy completely Regular Γ-sub semigroup, ideal generated by the ordered fuzzy point 𝒂𝜆, fuzzy semi simple in a PO Gamma semigroup are introduced. It is proved that (1) If f is fuzzy regular Γ-sub semigroup of S then f is fuzzy Idempotent,(2) If f is fuzzy completely regular then f is regular, left regular and right regular, (3) If 𝒂𝜆 is fuzzy regular then 𝒂𝜆 is fuzzy semi simple, (4) If an ordered fuzzy point 𝒂𝜆 of S is left(right) regular Γsemigroup then 𝒂𝜆 is fuzzy semi simple, (5) If 𝒂𝜆 is fuzzy intra regular Gamma semigroup then 𝒂𝜆 is fuzzy semi simple. Mathematical Subject Classification (2010): 20M12; 20M17; 20N25.