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The consequent membership functions of a three - rule single - input single - output fuzzy reasoning system are specified by TrapMF ( y ,

The consequent membership functions of a three-rule single-input single-output fuzzy reasoning system are specified by TrapMF(y,[ai,bi,ci,di])= max[min((y-ai)/(bi-ai),1,(di-y)/(di-ci)),0] for rules 1 and 3 such that [a1,b1,c1,d1]=[0,2,4,6],[a3,b3,c3,d3]=[6,8,11.9,11.9+2], and TriMF(y,[ai,bi,ci])= max[min((y-ai)/(bi-ai),(ci-y)/(ci bi)),0] for rule 2 such that [a2,b2,c2]=[4,6,8]. Now, Assume [a3,b3,c3,d3]=[6,8,10,12] the output weight wi of the rule i for i=1 to 3 are given by w1 is 0.3, w2 is 0.9, and w3 is 0.6. Show on Matlab Code the step-by-step calculation of the defuzzified output of the three-rule single-input single-output fuzzy reasoning system using the fast computation method for the defuzzified output as Answer (rounded to 4 decimal places)

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