The concept of fuzzy sets was introduced by Zadeh1 is applied to many mathematical branches. This concept was adapted by Goguen2 and Sarchez3 to define and study fuzzy relations. L -fuzzy sets are the generalization of fuzzy sets was first considered in 1967 by Joseph Goguen. Since then studies on L -fuzzy sets have been carried out by many researchers. Rosenfeld4 inspired the fuzzification of algebraic structures and introduced the notion of fuzzy subgroups.