Abstract

In [9]a new definition of a fuzzy set was given by K.Kandil et al by introducing the concept of an interval valued fuzzy set . In this paper a new definition of supra -fuzzy topological ( resp.suprafuzzy proximity ,supra - fuzzy uniform ) space is given by introducing the concept of an interval valued supra-fuzzy topological (resp.fuzzy proximity ,fuzzy uniformity ) space . The connection between interval valued supra-fuzzy topological ,interval valued supra-fuzzy proximity and interval valued supra-fuzzy uniformity space are investigated . Throughout this paper ,the class of all interval valued fuzzy sets on a non-empty set X will be denoted by X and the class of all fuzzy sets on non-empty set X will be denoted by I X

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