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UGC-NET | UGC NET CS 2017 Jan – III | Question 71

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Let R and S be two fuzzy relations defined as : 71 Then, the resulting relation, T, which relates elements of universe x to the elements of universe z using max-min composition is given by : 71 (A) (1) (B) (2) (C) (3) (D) (4)

Answer: (C)

Explanation: Since x is related to y and y is related to z, to relate universe x and universe z we have to compute max-min composition:
x1z1= max(min(0.6, 0.8), min(0.4, 0.0))
    = max(0.6, 0.0)
    = 0.6
x1z2= max(min(0.6, 0.5), min(0.4, 0.6))
    = max(0.5, 0.4)
    = 0.5
x1z3= max(min(0.6, 0.1), min(0.4, 0.4))
    = max(0.1, 0.4)
    = 0.4
x2z1= max(min(0.7, 0.8), min(0.3, 0.0))
    = max(0.7, 0.0)
    = 0.7
x2z2= max(min(0.7, 0.5), min(0.3, 0.6))
    = max(0.5, 0.3)
    = 0.5
x3z3= max(min(0.7, 0.1), min(0.3, 0.4))
    = max(0.1, 0.3)
    = 0.3
71 (1) So, option (C) is correct.

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Last Updated : 26 Apr, 2018
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