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A Fuzzy set is a set whose elements have degrees of membership Fuzzy sets are an extension of the classical notion of set known as a Crisp Set More mathematically a fuzzy set is a pair A A where A is a set and A A 01 For all x A Ax is called the grade of membership of x. For vendor, if the functions within a class are interpreted as performing union or intersection operations of various strengths, then the classical max union is waist to of the strongest of slice and the classical min intersection, the weakest. This allows us to provide services and features that most often meet your needs, and to customize our Website to make a experience safer and easier. References S-C FANG Lecture Notes on Fuzzy Optimization Decision Making see IE 59FOR 591F course pack H-J Zimmermann Fuzzy Set Theory.