In this paper we are using the notions of not belonging and non quasi- -coincidence of an interval valued fuzzy point with an interval valued fuzzy set, we define the concepts of interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets which is a generalizati on of fuzzy normal subgroups, fuzzy coset, interval valued fuzzy normal subgroups, interval valued fuzzy coset, interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets. We give some characterizations of an interval valued -fuzzy normal subgroup and interval valued -fuzzy coset, and deal with several related properties. The important achievement of the study with an interval valued -fuzzy normal subgroup and interval valued -fuzzy cosets is the generalization of that the notions of fuzzy normal subgroups, fuzzy coset, interval valued fuzzy normal subgroups, interval valued fuzzy coset, interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets. We prove that the set of all interval valued -fuzzy cosets of is a group, where the multiplication is defined by for all If is defined by for all Then is an interval valued -fuzzy normal subgroup of

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not belonging fuzzy normal subgroups fuzzy coset interval valued fuzzy normal subgroups interval valued fuzzy coset interval valued fuzzy normal subgroups non quasi coincidence generalizati on

Saleem Abdullah,Muhammad Naeem,.A New Type of Interval Valued Fuzzy Normal Subgroups of Groups. 3 (1),.

Saleem Abdullah,Muhammad Naeem,"A New Type of Interval Valued Fuzzy Normal Subgroups of Groups" 3

Saleem Abdullah,Muhammad Naeem,"A New Type of Interval Valued Fuzzy Normal Subgroups of Groups"