Assignment_1

Assignment_1 - ME697 Assignment #1 Due: 1/26 1. Using fuzzy...

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M E697 Assignment #1 Due: 1/26 Spring 2012 { } 12 A 1. Using fuzzy sets 0.3/ 0.4/ x = x and { } 0.1/ 0.5 / 3 B yy = y , calculate the Cartesian production of A B × and the cylindrical extension of A B × to set B . 2. A fuzzy system with one input and one output is described by the following rule base: i) If x is A 1, then y is B 1 . ii) If x is A 2 , then y is B 2 , with { } 1 0.1/1, 0.6/ 2, 1/3 = A { } 2 0.9 /1, 0.4 / 2, 0/3 A = { } 1 1/4, 1/5, 0.3/6 B = { } 2 0.1/ 4, 0.9/5, 1/6 B = Compute the output fuzzy set B’ for x =2 using the Mamdani inferencing. 3. Consider the following Takagi-Sugeno rules: i) If x is A 1 and y is B 1 , then
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