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21. A basic feasible solution to a m-origin, n-destination transportation problem is said to be ................... if the number of positive allocations are less than m + n – 1.
a. degenerate
b. non-degenerate
c. unbounded
d. unbalanced
Answer: (a).degenerate

22. The total transportation cost in an initial basic feasible solution to the following transportation problem using Vogel’s Approximation method is
a. 76
b. 80
c. 90
d. 96
Answer: (b).80

23. A fuzzy set A on R is ................. iff A(λx1 + (1 – λ)x2) ≥ min [A(x1), A(x2)] for all x1, x2 ∈ R and all λ ∈ [0, 1], where min denotes the minimum operator.
a. Support
b. α-cut
c. Convex
d. Concave
Answer: (c).Convex

24. If A and B are two fuzzy sets with membership functions

μA(x) = {0.6, 0.5, 0.1, 0.7, 0.8}
μB(x) = {0.9, 0.2, 0.6, 0.8, 0.5}

Then the value of μ(A∪B)’(x) will be
a. {0.9, 0.5, 0.6, 0.8, 0.8}
b. {0.6, 0.2, 0.1, 0.7, 0.5}
c. {0.1, 0.5, 0.4, 0.2, 0.2}
d. {0.1, 0.5, 0.4, 0.2, 0.3}
Answer: (c).{0.1, 0.5, 0.4, 0.2, 0.2}

25. Consider a single perception with weights as given in the following figure. The perception can solve
a. OR problem
b. AND problem
c. XOR problem
d. All of the above
Answer: (b).AND problem

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