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Biju Patnaik University of Technology 2008-7th Sem B.Tech Soft Computing - Question Paper

Thursday, 23 May 2013 11:15Web



IVU

Seventh Semester Examination - 2008 SOFT COMPUTING Full Marks-70

Time-3 Hours

Answer Question No. 1 which is compulsory and any five from the rest.

The figures in the right-hand margin indicate marks.

1, Answer the following questions : 2x10

(j) How does soft computing differ from hard computing ?

(Ii) If M1 young(0 , , >c i determine the

1 + ( /so)

membership function for the set 'young but not so youncf.

(iii)*.List    the various activation functions used in ANN.

(iv)    Enumerate the demerits of backpropa-gatton algorithm,

(v)    Name the different crossover operators used in GA.

(vi)    Distinguish between sequential and batchmode of backpropagation learning.

(vii)    Enumerate different defuzzification techniques.

(viii)    What do you understand by *Annealing Schedule' in simulated annealing ? I

(ix)    State the drawbacks of single layer perceptron. Name a problem which cannot be solved by the above neural model.

(x)    List different selection mechanisms in GA

2. (a) A neuron j receives inputs from other

neurons whose activity levels are 10f=20,

4 and -2, The respective synaptic weights of the neurons are 0.8, 0.2, -1.0 and

- 0.9. Calculate the output of neuron f for the following situations,    6

(i)    The neuron is linear,

(ii)    The neuron is represented by Me Cu'Lloch-Pitts model, defined as follows:

\ n > o]

where V, is Ihe


,1. IfK < 0

induced local field.

(b) Consider the pseudo - linear function 0 as shown in Figure. Formulate 0 (v) as a function of v.    4

3. The figure given below shows (he signal flow graph of a 2-2-2-1 feedforward network. The

function 0 (} denotes a logistic function. Write the input-output mapping defined by this network,    10

4, (a) Let the universe, x = {1,2(3h4,5} and small integers' be defined as A = { (1,1}, (2,0.5), (3t0.4}, (4,0,2), Let the fuzzy relation R : 'almost equal* be defined as follows :

1

2

3

4

1

1

0.8

0

0

2

0.8

1

0,8

0

3

0

0.8

0,8

4

0

0

0.8

1

What is the membership function of the fuzzy set B = rather small integers', if it is interpreted as the composition A0 R ?

7

(b) Explain the term Generalised Modus Portens1 with the hefp of suitable example.

3

5,    (a) Compare and contrast between MLP and

IWL


RBFN. Stale 'Covers Theorem on Separability of Patterns'.    5

(b) Enumerate the steps followed in Genetic Algorithm,    5

6,    (a) What do you understand by 'Tournament

Selection1 with reference to GA ? How does it overcome the demerit of Roulette Wheel selection* ?    5

PECS 3401    5    P10,

(b) For finding out the value of x from the range [-1 r 2] which maximizes the function-f(x) = x sin (10 fix) +1.0, determine the minimum length of the binary string used to encode x. The required precision is up to 4 decimal piaq.es,    5

7. (a) A fuzzy reasoning system is provided with the following facts and rules :

Premise 1 (fact):x is Ar and y is B'

Premise 2 (Rule 1>: if x is A, and y is bI.WL

then z is

Premise 3 (Rule 2): if x is and y is Ba, then z is C2

Explain in detail the inference procedure to find out the conclusion z is C\ i.e., given

uA'(x)t !-*,(*}, Ua.(*),    lleT(y),

B,(y). Me,(z). and LLCjl<z), determine

7

(b) Which Fuzzy Inference System is used more widely and why ?    3

8. Derive the Backpropagation through time (BPTT) algorithm used to train the recurrent neural network,    10


PECS 3401    6    Contd.    PECS 3401

-c







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