FUZZY REGULAR SUBSEMIGROUPS OF PARTIALLY ORDERED Γ- SEMIGROUPS

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