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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
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2.Fuzzy logic is a form of
A.Two-valued logic
B.Crisp set logic
C.Many-valued logic
D.Binary set logic
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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.
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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)}
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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
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6.______________ is/are the way/s to represent uncertainty.
A.Fuzzy Logic
B.Probability
C.Entropy
D.All of the mentioned
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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
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8.How is Fuzzy Logic different from conventional control methods?
A.IF and THEN Approach
B.FOR Approach
C.WHILE Approach
D.DO Approach
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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}
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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)}
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Author Does Not claim of any answer these answers are as per expert opinion


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