00000CS36 1121901

13 The following data was determined by the pairwise comparison of work (9)
preferences of 100 people: When it was compared with software (S), 40 persons
polled preferred hardware (H), 38 of them preferred teaching (T), 48 of them
preferred business (B) and 30 preferred textile (TX). On comparison with
hardware (H), the preferences were 60 for S, 52 for T, 53 for B and 35 for TX.
When compared with teaching, the preferences were 62 for S, 48 for H, 65 for B
and 56 for TX. On comparison with business, the preferences were 52 for S, 47
for H, 35 for T, 60 for TX. When compared with textile, the preferences were 70
for S, 65 for H, 44 for T and 40 for B. Using rank ordering plot the membership

function for the "most preferred work."

14 a) Consider the fuzzy relation (4)

0.1 0 0 1 0.5
0.2 0.9 0 0.5 1
Perform A-cut operations for the values of 2. = 0.9, 0”

b) Let A be a fuzzy set that tells about a student as shown in figure below. Here, (5)
the linguistic variable P represents a Pass student, F stands for a Fair student, G
represents a Good student and VG represents a Very Good student. Calculate the
defuzzified value for the fuzzy set A with weighted average method and center

of sums.

PART E
Answer any four full questions, each carries 10 marks.
15 a) Differentiate between Mamdani FIS and Sugeno FIS. (5)