3.9. Given the continuous, noninteractive fuzzy sets A and B on universes X and Y, using Zadeh's notation for continuous fuzzy variables, A = {{ a for x € [0, +10]. 0.2|y| B = for y e [0, +5]. y as seen in Figure P3.9a: (a) Construct a fuzzy relation R for the Cartesian product of A and B. (b) Use max-min composition to find B', given the fuzzy singleton A' = (see Figure P3.9b). Hint: You can solve this problem graphically by segregating the Cartesian space into

3.9. Given the continuous, noninteractive fuzzy sets A and B on universes X and Y, using Zadeh's notation for continuous fuzzy variables, A = {{ a for x € [0, +10]. 0.2|y| B = for y e [0, +5]. y as seen in Figure P3.9a: (a) Construct a fuzzy relation R for the Cartesian product of A and B. (b) Use max-min composition to find B', given the fuzzy singleton A' = (see Figure P3.9b). Hint: You can solve this problem graphically by segregating the Cartesian space into

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section17.2: What Is A Markov Chain?

Problem 5P

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The room temperature x in Fahrenheit is converted to y in Celsius through the function y = f(x) = 5(x-32)/9. Let a fuzzy set B1 (in Fahrenheit) be defined by B1 = 0.15/76 + 0.42/78 + 0.78/80 + 1.0/82 + 1.0/84 What is the induced fuzzy set of B1 in terms of the extension principle? B2 = ?
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