F F5890 Pages: 3

PART D
Answer any two full questions, each carries 9 marks
12 ஐ Let Ube the universe of military aircraft of interest as defines as below, (5)

U= { 810, 052, 0130, 2.9}

Let A be the fuzzy set of fighter class aircraft:
0.3 0.4 0.2 0.1 1
A= 1५1० + bs2 + ८130 + f2 v fo

0.1 , 0.2 0.8 42742 then find the following:
B= { ‏ويه‎ t pez + cao t ‏ام‎ pod? en find the following:

கறற i)ANB மந ‏فاع )7 یھ(‎
vi) AUB ஏதா viii)AUB ix), BUA
b) The discretized membership function of a transistor and a resistor are given (4)

below,

0 0.2 0.7 0.8 0.9 1
‏کے‎ (ആല, 5)

02030205 5
uR= { 5 + 7 ‏د‎ हः + =e + ष ட்‌ ட்‌ . Find the following

i) Algebraic Sum ii) Algebraic Product
iii) Bounded Sum iv) Bounded difference
13 a) Consider a universe of aircraft speed near the speed of sound as (6)

X={ 0.72, 0.725, 0.75, 0.775, 0.78} and a fuzzy set on this universe for the speed
“near mach 0.75” M

0 0.8 1 0.8 0
മി 07257 775 1 பரக" O78
Define a universe of altitudes Y={ 21,22, 23,24,25,26,27} in K-feet and a fuzzy
set on this universe for the altitude fuzzy set ‘approximately 24,000 feet” =
Nwhere
we (2227൨൮൧722

21k 22k 23k 24k 25k 26k 27k

1) Construct a relation R =Mx N

11) For another aircraft speed , say | in the region of mach 0.75 where

ف + 08 ہے + 28 ہے)۔ ود

0.72 0.725 0.75 0.775 0.78
Then find relation 5 = Mi 0 R using max-min composition.
b) Using your own intuition and definitions of the universe of discourse, plot fuzzy (3)

membership functions for “weight of people”.

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