# Welcome to the Fuzzy Systems MCQs Page

Dive deep into the fascinating world of Fuzzy Systems with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Fuzzy Systems, a crucial aspect of UGC CBSE NET Exam. In this section, you will encounter a diverse range of MCQs that cover various aspects of Fuzzy Systems, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within UGC CBSE NET Exam.

Check out the MCQs below to embark on an enriching journey through Fuzzy Systems. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of UGC CBSE NET Exam.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Fuzzy Systems. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

### Fuzzy Systems MCQs | Page 2 of 3

Q11.
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

a.

A

b.

B

c.

C

d.

D

Q12.
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

a.

A

b.

B

c.

C

d.

D

Q13.
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
Answer: (d).{(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}
Q14.
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?
Q15.
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
Answer: (d).{(11,0.3), (12,0.5), (13,0.6), (14,1), (15,0.7), (16,0.5), (17,0.2)}
Q16.
Let A be the set of comfortable houses given as follows. Then the set of comfortable and affordable houses is

a.

A

b.

B

c.

C

d.

D

Q17.
Support of a fuzzy set given below, within a universal set X is given as

a.

A

b.

B

c.

C

d.

D

Q18.
In a single perceptron, the updation rule of weight vector is given by
Answer: (c).w(n + 1)=w(n)+η[d(n)-y(n)]* x (n)
Q19.
The golden ratio ϕ and its conjugate ϕ’ both satisfy the equation
Answer: (c).x^2 – x – 1 = 0
Q20.
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