PART B

4. 2. ? rea set of four varieties of paddy plants, D represents the four diseases
affecting the plants, and S represents the common symptoms of the diseases. P =
‏ط ا 55ط‎ (೧,೧,0, 0,),5-15,5,, 5,5]. ‏چ‎ is a relation on PxD representing
which plant is susceptible to which diseases and T is another relation on Dx S and is

stated as
2, 9, 9; D, S, S, மி) 5
£ | 0.6 0.6 0.9 0.8 ¢, | 0.1 0.2 0.7 09
ro? 0.1 0.2 0.9 0.8 |, − ra 1 1 1 0.6
൧0.9 0.3 04 08 ൧0 0 0.5 09
ಓ 0.9 0.8 0.4 0.2 210.9 | 0.8 0.2

Obtain the association of plants with the different symptoms of the disease using
max-min composition, http:/'www.ktuonline.com (5 marks)

b. Discuss any two common membership functions used in fuzzy logic. (4 marks)
5 >. A={(x,,0.3),(x,,0.5),(x,,0.6)}, B= {(x,,0.2),(x,.0.8),(x,,0.9)}. Find (i) .;ധ3
൫൫ 4೧8 Gi) 4-2 Gy) 498 (4 marks)
b. List out the various operations on Fuzzy sets. (5 marks)

6. 2. Explain simple fuzzy logic controllers. (4 marks)

b. The faulty measure of a circuit is defined fuzzily by three fuzzy sets namely
Robust (R), Fault tolerant (FT) and Faulty (F), defined by three membership
functions with number of faults occur, as universe of discourse as

u(x)

ant 0.75

0.5 iA. 0.5

0.25 0.28
8 6 910×01234 7/89 0123456 ھ910 0123456789

910x

Robust Fauh tolaant Faulty

Reliability is measured asr = R ‏ع ب‎ . Determine the crisp value of r using centroid
method, COS method and weighted average methods of defuzzification. (5 marks)

(2x 9 = 18 marks)