The consequent membership functions of a five-rule one-input single-o.pdf

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The consequent membership functions of a five-rule one-input single-output fuzzy reasoning system are specified by TriMF(y,[ai,bi,ci])=max[min((yai)/( bi-ai),(ci-y)/(cibi),0] for rule i to 5 such that [a1,b1,c1]=[0,1,2],[a2,b2,c2]=[1,3,5],[a3,b3,c3]=[4,5,6], [a4,b4,c4]=[5,7,9], and [a5,b5,c5]=[8,9,10]. The output weight wi of the rule i for i=1 to 5 are given by w1 is 0.4,w2 is 0.4,w3 is 0.3,w4 is 0.6 , and w5 is 0.5 . Calculate the defuzzified output of the five-rule one-input single-output fuzzy reasoning system using the fast computation method for defuzzified output as Your Answer (rounded to four decimal places).

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