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In this paper, using the idea of quasi-coincidence of a fuzzy point with afuzzy set, the concepts of (epsilon, epsilon join q)- fuzzy subsemigroup and(epsilon, epsilon join q)- fuzzy bi-ideal in a gamma-semigroup have beenintroduced and some related properties have been investigated.

(Alpha, Beta)-Fuzzy Subsemigroup and (Alpha, Beta)-Fuzzy Bi-ideal in Gamma- Semigroups