Reg No.: Name:
APJ ABDUL 1೭101 14916௪. UNIVERSITY

Sixth Semester B.Tech Degree Regular and Supplementary Examination July 2021

Course Code: EC360
Course Name: SOFT COMPUTING
Max. Marks: 100 Duration: 3 Hours

PARTA
Answer any two full questions, each carries 15 marks Marks
1 a) Explain the terms Fuzzy Computing and Neural Computing. Mention some of (7)
the areas where you can apply them.
0) Explain extension principle. Suppose f is a function mapping from ப, = {-1,0,1} (8)
and U2 = {-2, 2} to V = {-2, - 1, 0,1,2, 4, 6,9} and f (5५1, x2) = (ப 4X). Let A;
and Aj be fuzzy sets defined on U; and U2 respectively such that A; =0.5/-1 +
0.1/0 + 0.9/1 and Az = 0.4/-2 + 1.0/2. Use Zadeh’s Extension principle, derive
B =f (Aj, ൧൧).

2 a) Determine the inverse, domain, range, height and resolution form of the fuzzy (9)

0.2 0.4 0.9
R= ட 0.6 7
04 1 0.8

b) Prove the modular equality of fuzzy counting. (6)

relation given by

0.1 0.4 0.5

Gi = fot + ९६ வேதி த! +~ 05 ‏ہے‎ (5)
iven fuzzy setA = (5 +> ணக ‏سے‎ + ठु 7 =}. Find the

height and support of the fuzzy set. Is the fuzzy set normal?

b) a) Consider the fuzzy set A described by: (10)
0.2 , 0.4 0.8 , 0.5 0.6 0.1
4 = [02 + ०4 + ०० + ०5 + ० ‏ات‎
‎10 20 40 60 70 100
and the fuzzy set B defined by the membership function
0.1 0.3 0.5 0.8 0.9
85117 30 ۴ ல + |

Determine a) E(A,B) 0) |ANB| c)( BUA ‏كووب(‎ 0( 46 8 e) S(A,B)

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