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## MCQs Fuzzy Sets|UGC-NET|GATE|Computer Science

 1. The height h(A) of a fuzzy set A is defined as h(A) =sup A(x) where x belongs to A. Then the fuzzy set A is called normal when A. h(A)=0 B. h(A)<0 C. h(A)=1 D. h(A)<1 View/Hide Ans Explanation 2. Fuzzy logic is a form of A. Two-valued logic B. Crisp set logic C. Many-valued logic D. Binary set logic View/Hide Ans Explanation 3. What is the Fuzzy Approximation Theorem(FAT) ? A. A fuzzy system can model any continuous system B. The conversion of fuzzy logic to probability. C. A continuous system can model any fuzzy system. D. Fuzzy patches covering a series of fuzzy rules. View/Hide Ans Explanation 4. Consider a fuzzy set old as defined below old={(20,0),(30,0.2),(40,0.4),(50,0.6),(60,0.8),(70,1),(80,1)}. Then the alpha-cut for alpha=0.4 for the set old will be A. {(40,0.3)} B. {50,60,70,80} C. {(20,0.1),(30,0.2)} D. {(20,0),(30,0),(40,1),(50,1),(60,1),(70,1),(80,1)} View/Hide Ans Explanation 5. Equilibrium of a fuzzy complement c is a solution of the equation A. c(a)-a=1 B. c(a)-a=2 C. c(a)=2a D. c(a)-a=0 View/Hide Ans Explanation 6. ______________ is/are the way/s to represent uncertainty. A. Fuzzy Logic B. Probability C. Entropy D. All of the mentioned View/Hide Ans Explanation 7. Involutive property of the standard fuzzy complement c, for each a? [ , ] is ---- A. c(c(a))=c(a) B. c(c(a))= 1 C. c(c(a))=0 D. c(c(a))=a View/Hide Ans Explanation 8. How is Fuzzy Logic different from conventional control methods? A. IF and THEN Approach B. FOR Approach C. WHILE Approach D. DO Approach View/Hide Ans Explanation 9. If A and B are two fuzzy sets with membership functions ?A(x) = {0.6, 0.5, 0.1, 0.7, 0.8} ?B(x) = {0.9, 0.2, 0.6, 0.8, 0.5} Then the value of ? Complement 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} View/Hide Ans Explanation 10. Given U = {1, 2, 3, 4, 5, 6, 7} A = {(3, 0.7), (5, 1), (6, 0.8)} then A will be : (where ~ ?complement) A. {(4, 0.7), (2, 1), (1, 0.8)} B. {(4, 0.3), (5, 0), (6, 0.2) } C. {(1, 1), (2, 1), (3, 0.3), (4, 1), (6, 0.2), (7, 1)} D. {(3, 0.3), (6.0.2)} View/Hide Ans Explanation

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