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(Following Paper ID and Roll No. to be filled in your Answer Book)

Roll No.

B. Tech. (sEM. IID (ODD SEM.) TIIEORY EXAMINATION, 2014-15 INTRODUCTION TO SOFTCOMPUTING Time : 3

I

Hoursl

[Total Marks : 100

Attempt any FOUR parts

(a)

4x5=20

Define softcomputing. What are tlre different leaming

paradigms

O)

:

What

?

is an activation function ? Explain its

characteristics in neural network.

(c)

Discuss in detail operations and properties of fuzzy sets.

2

(d)

What are the operators involved in a simple genetic algorithm ? Explain each with example.

(e)

What is neural network architecture ? Explain logistic sigmoid function with example.

Attempt any FOUR parts of the following

(a)

:

4x5=20

What is the classification of training ? Explain supervised training.

lg9323l

I

I Contd...

I (b)

What are the different attributes of predicate logic ? Using inference in predicate logic and prove following statement : All man are mortal. Socrates is a man. Prorre : Socrates is mortal.

0 G)

(c)

: {.a, b, c, d} \, : {1, 2,3, 4l And [ : {(a, o) (b, 0,8) (c, 0.6) (d, l)} fr : {(r, o.z) (2, r) (3, o.s) (4, o)} e : {(1, 0) (2,0.4) (3, t) (4, 0.8)} Let X

Determine the implication relation if X is

Yis

(d) (e)

L

th.n

E

:

Consider X {2, 4, 6, B, l0}. Find its power set, cardinality and cardinality of power set. Define delta rule. Explain significance of delta rule in defining the weights.

Attempt any TWO parts : 1Ax2:20 (a) What is meant by genetic algorithm ? Compare and contrast traditional algorithm and genetic

(b)

algorithm

A neuron j receivers inputs from other neurons whose activity levels are 10, -20,4 and -2. The respective synaptic weights of the neurons are 0.g,

0.2, -1.0 and 0.9. Calculate the output of neuron j for the following situation The neuron is linear. The neuron is represented by McCullochPits model, defined as follows :

(1) A)

\ 199323 |

fl, if =

tt

,

v >ol

U ur

a

I

where Vu is the induced local field'

I Contd...

(c)

4

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

Attempt any TWO parts

(a)

:

l0x2=20

What is meant by genetic algorithm ? Compare and contrast traditional algorithm and genetic algorithm

(b)

Is it possible for a GA to generate an individual with maximum fitness without using mutation, but only single point crossover ? If so, give an example.

(c) 5

of selection, crossover and mutation in evolutionary computation.

Explain the effect

Attempt any TWO parts

(a)

(b) (c)

19932s I

:

l0x2=20

Short notes : Perceptron model. Unsupervised and Supervised learning. Associative memory.

(1) @ (3)

Discuss crossover operation in Genetic algorithm and its type. Explain Fuzz inference system (FIS)

3

[ 7s00 |

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