Solve Fuzzy Set

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.
Answer: C.

2.Fuzzy logic is a form of.
(A) Two - valued logic.
(B) Crisp set logic.
(C) Many - valued logic.
(D) Binary set logic.
Answer : C.

3.What is the Fuzzy  Approximation Theorem ( F A T ) ?
(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.
Answer :  A.

4.Consider a fuzzy set old as defined below old = ( 20 , 0 ) , ( 30 , 0 , 2 ) , ( 40 , 0 ,4 ) , ( 50 , 0 , 6 ) ,
 ( 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 , 01 ) (30 , 03 ).
(D) ( 20 , 0 ) , ( 30 , 0 ) , (40 , 1 ) , ( 50 , 1 ) , ( 60 , 1 ) , ( 70 , 1 ) ,( 80 , 1 ).
Answer :  D.

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.
Answer : D.

6.----------------- is a/ are the ways to represents uncertainty .
(A) Fuzzy logic5.
(B) Probability.
(C) Entropy.
(D) All of the mentioned.
Answer : D.

7. Intvolutive 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.
Answer : D.

8.How is Fuzzy logic different from conventional control methods ?
(A) IF and THEN Approach.
(B) For Approach.
(C) WHILE Approach.
(D) Do Approach.
Answer: A.

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 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  , 02 , 03 ).
Answer: C.

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 ).
Answer :  C.