3.4. An engineer is testing the properties, strength and weight of steel. Suppose he hastwo fuzzy sets A, defined on a universe of three discrete strengths, {s1, s2, $3}, andB, defined on a universe of three discrete weights, {w1, w2, w3}. Suppose A andB represent a "high-strength steel" and a "near-optimum weight," respectively, asshown,0.50.2A =$2$30.31B =0.5w2W3(a) Find the fuzzy relation for the Cartesian product of A and B, that is, findR =A x B. Here, the Cartesian product would represent the strength-to-weightcharacteristics 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:0.1C =S10.6S2S3Find the relation between C and B using a Cartesian product, that is, findS =C x B.(c) Find CoR using max-min composition.(d) Find CoR using max-product composition.(e) Comment on the differences between the results of parts (c) and (d).

(a) given A=1s1 +0.5s2+0.2s3 and B=1w1 +0.5w2+0.3w3 find the cartesian product R=A×B =min1,1s1,w1,…

Answered: 0.5 0.2 A S1 $2 $3 0.5 0.3 (a) Find the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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What is the answer a,b,c, and d?
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