A fuzzy set over a set X is a function of x to a closed interval [0,1] and is a generalization of a strict set. In other words, a strict set is aspecial case of a fuzzy set, so that the properties of a spring set can definitely be expressed as a special case of a fuzzy set. Information collection method used is the study of literature. By proving the properties of is the anti fuzzy subgroup of group G.
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