Abstract

In this paper, it is shown that and are respectively fuzzy left and fuzzy right ideals of S. S is a fuzzy left(right) simple po- Γ -semigroup ( ) . 
 It is proved that for any semi group S “TFAE”
 (1) S is left(right) simple po- Γ -semigroup.
 (2) S is a fuzzy left(right)simple Γ-semigroup. 
 The union of all proper fuzzy ideals of S is the only fuzzy maximal ideal of S ,where S is a PO -Γ-Semigroupwith 'e', unity.

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