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3.10 There is a relation R123. R123X, x X2 × X3 = 0.9 / (x, a, α) + 0.4 / (x,a) Determine R12 X ×x, and R23 X2 × X3 by projection.b) Obtain R123 by cylindrical extension of R12 and R23.c) Obtain R1 234-X, x X2 x X3 x X; by cylindrical extension where X4lp,q)

Question

the book is "First Course on Fuzzy Theory and Applications"

3.10 There is a relation R123. R123
X, x X2 × X3 = 0.9 / (x, a, α) + 0.4 / (x,
a) Determine R12 X ×x, and R23 X2 × X3 by projection.
b) Obtain R123 by cylindrical extension of R12 and R23.
c) Obtain R1 234-X, x X2 x X3 x X; by cylindrical extension where X4
lp,q)
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3.10 There is a relation R123. R123 X, x X2 × X3 = 0.9 / (x, a, α) + 0.4 / (x, a) Determine R12 X ×x, and R23 X2 × X3 by projection. b) Obtain R123 by cylindrical extension of R12 and R23. c) Obtain R1 234-X, x X2 x X3 x X; by cylindrical extension where X4 lp,q)

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Step 1

Given: A relation 123 is a subset of

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Step 2

(i) To determine:

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Step 3

In order to project a fuzzy relati...

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