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06000CS36 1122001

PART D
Answer any two full questions, each carries 9 marks.
Using inference method, find the membership values of the triangular shapes;

isosceles (I), right angled (R), isosceles and right angled (IR) for a triangle with
angles 45, 75, and 60.

5 [ಲ್ಲಿ ۱ (> 1 , 06
ಕೈಸಾ അ 7 "र ॥ == [നന്നു வெம்‌ —
Given three fuzzy sets 0 1 2 20 30 40

1 17 7 0.9 7 0.4
{= ந T2797 ‏6ه‎
‎ॐ ॐ ಈ Find (1) ‏عل = گا‎ xD

(ii) Max—min composition ೧೯1/೦೫ (iii) Max—product composition of 1೦೫
0*20* 40 * 60 801100

0 045 06 0.8 0.95 1.0
= നന ‏یو‎ + ~ + —— + உட்ப
1 0 20 #40 60 80 100

8 ۳ 0.5 #065 O85 1.0 1.0
31 = an en

(i) Find S1|S2 (ii) Verify DeMorgan’s law (iii) Find 52151.
^= [1 ,۹9 0.6 03 0.01 , 0
− ∣ ∙⊅⇥↾−⊹↲−⊹∣−∣⋅−
↕∶∎∎∏⊂∥↘−∁∐↥≲⊜↥≲↥∎∘∏∤↧⊜∇∂∣∐⊜≋∘⊔↘−−↥⋝∘⋅∘⋅∅⋅∊∙∘⋅∍⋝∘⊹⋝∅⋂≺∃∘⋅

With example, explain any four defuzzification methods.

0.15 , 0.25 , 0.5 0.7 0.2 03 0.6 , 0.65

50 100 † 157 † 3 | “15110 150 200

Find (i)Algebraic sum (ii) Bounded difference.
PART E

Answer any four full questions, each carries 10 marks.
Explain about characteristics of neuro-fuzzy hybrid systems.

List the stopping criteria for genetic algorithm flow.

Explain about Mamdani fuzzy inference system and Tasaki Sugeno fuzzy
inference system.

Explain any four selection methods.

With suitable example, explain about aggregation of fuzzy rules.

With neat diagram, explain about Genetic-Fuzzy hybrid systems.

Explain about crossover techniques in genetic algorithm.

With block diagram explain about Fuzzy Inference System.

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