3.4. An engineer is testing the properties, strength and weight of steel. Suppose he has two fuzzy sets A, defined on a universe of three discrete strengths, (51, 52, 53}, and B, defined on a universe of three discrete weights, (w1, W2, W3}. Suppose A and B represent a "high-strength steel" and a "near-optimum weight," respectively, as shown, A = $1 0.5 0.2 $3 0.5 + այ (a) Find the fuzzy relation for the Cartesian product of A and B, that is, find R=Ax B. Here, the Cartesian product would represent the strength-to-weight characteristics of a near maximum steel quality. (b) Suppose we introduce another fuzzy set, C, which represents a set of "moder- ately good" steel strengths, say, for example, the following: 0.1 0.6 $2 Find the relation between C and B using a Cartesian product, that is, find S = C × B. (c) Find Co R using max-min composition. (d) Find Co R using max-product composition. (e) Comment on the differences between the results of parts (c) and (d). IMPORTANT NOTES FOR THE CHEGG EXPERTS: IF YOU DO NOT KNOW "FUZZY LOGIC" AND ARE NOT SURE ABOUT THE ANSWER OF THE QUESTION, DO NOT ANSWER IT. THANKS! THE QUESTION IS FROM THE BELOW BOOK: FUZZY LOGIC WITH ENGINEERING APPLICATIONS Third Edition Timothy J. Ross University of New Mexico, USA