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00000CS361121901

PART ^
Answer all questions, each carries 3 marks.
Using your own intuition and definition of universe of discourse, plot
membership functions for liquid level in the tank. (empty, very less, less, full,
very full)
Using inference approach, find the membership values for each of the triangular
shapes (I, R, IR, E, T) for a triangle with angles 120°, 50°, 10°
Consider two fuzzy sets
0.3 1 0.1

ധ്‌ 0.5
=t> + 11273 + द्र)

8 = (0 + 02 + 09 07 63, 0
0 1 2 3 4 5

Find the following:

(a) Algebraic sum

(b) Bounded sum

(c)Bounded Difference

Represent the standard fuzzy set operations using Venn diagram.

PART D
Answer any two full questions, each carries 9 marks.
Given two universes X={x1,x2,x3,x4,x5} and Y={yl,y2,y3,y4,y5},the fuzzy
sets A defined on X and fuzzy set B defined on Y are given below.
i) Find the relationR =A xB
0.4 0.7 1 0.8 0.6

لع = 4

न + ऋ + ++)

Consider another fuzzy set C defined on the universe ५ ={vl,v2,v3}

1

cH ‏بكم‎ + ०९.
^ tat pat ಹ್‌
ii) Find P=B xC.

iii) Using max-min composition find RoP

(3)

(3)

(3)

(3)

(2)

(2)
(5)