| 11. | Let R and S be two fuzzy relations defined as follows. Then, the resulting relation, T, which relates elements of universe of X to elements of universe of Z using max-product composition is given by
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Answer: (d).D
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| 12. | Let R and S be two fuzzy relations defined as follows. Then, the resulting relation, T, which relates elements of universe x to elements of universe z using max-min composition is given by   |
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Answer: (c).C
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| 13. | Compute the value of adding the following two fuzzy integers: A = {(0.3,1), (0.6,2), (1,3), (0.7,4), (0.2,5)} B = {(0.5,11), (1,12), (0.5,13)} Where fuzzy addition is defined as μA+B(z) = maxx+y=z (min(μA(x), μB(x))) Then, f(A+B) is equal to |
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Answer: (d).{(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}
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| 14. | A perceptron has input weights W1 = -3.9 and W2 = 1.1 with threshold value T = 0.3. What output does it give for the input x1 = 1.3 and x2 = 2.2? |
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Answer: (c).0
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| 15. | Let A and B be two fuzzy integers defined as: A={(1,0.3), (2,0.6), (3,1), (4,0.7), (5,0.2)} B={(10,0.5), (11,1), (12,0.5)} Using fuzzy arithmetic operation given by  |
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Answer: (d).{(11,0.3), (12,0.5), (13,0.6), (14,1), (15,0.7), (16,0.5), (17,0.2)}
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| 16. | Let A be the set of comfortable houses given as follows. Then the set of comfortable and affordable houses is
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Answer: (a).A
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| 17. | Support of a fuzzy set given below, within a universal set X is given as
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Answer: (d).D
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| 18. | In a single perceptron, the updation rule of weight vector is given by |
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Answer: (c).w(n + 1)=w(n)+η[d(n)-y(n)]* x (n)
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| 19. | The golden ratio ϕ and its conjugate ϕ’ both satisfy the equation |
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Answer: (c).x^2 – x – 1 = 0
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| 20. | At any iteration of simplex method, if Δj (Zj – Cj) corresponding to any non-basic variable Xj is obtained as zero, the solution under the test is |
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Answer: (c).Alternative solution
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