Question: (a) Differentiate between Crisp set and Fuzzy set. (b) Let A be a fuzzy set defined by A=.3/x1+.7/x2+.6/x3 +.8/x4+0/x5. Find (i) All possible Alpha cut

(a) Differentiate between Crisp set and Fuzzy set. (b) Let A be a fuzzy set defined by A=.3/x1+.7/x2+.6/x3 +.8/x4+0/x5. Find (i) All possible Alpha cut (ii) All possible strong alpha cut (iii) Support (iv) Is this fuzzy set a normal fuzzy set? If yes why? (v) Represent the above fuzzy set A in terms of special fuzzy sets A.

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