Solve any four

1 (a)
Define soft computing? Distinguish between soft computing and hard computing.

5 M

1 (b)
Determine (alpha) α-level sets and strong α-level sets for the following fuzzy set.

A = {(1, 0.2), (2, 0.5), (3, 0.8), (4, 1), (5, 0.7), (6, 0.3)};

A = {(1, 0.2), (2, 0.5), (3, 0.8), (4, 1), (5, 0.7), (6, 0.3)};

5 M

1 (c)
Prove that the first order derivative of a unipolar continuous activation function f' (net) = 0 (1-0)

5 M

1 (d)
Draw the five layer architecture of ANFIS and explain each layer in brief.

5 M

1 (e)
What are the differences between derivative free and derivative based optimization.

5 M

1 (f)
Distinguish between Supervised and Un-supervised learning.

5 M

2
Design a fuzzy controller for a train approaching station. Inputs are speed and Distance and output is Break power. Use triangular membership function. Consider two descriptor for input and three descriptors for output. Derive a set of rules for control action and de-fuzzification. The design should be supported by figures wherever possible. Design a fuzzy controller for a train with high speed and small distance.

20 M

3 (a)
Apply Back propagation Algorithm to find the final weights for the following net. Inputs x={0.0, 1.0}, Weights between Hidden and output Layers: w={0.4, 0.2}, Bias on the Output Node O is Wo=[-0, 4], Weights between Input and Hidden Layer: v={2, 1; 1, 2], Bias on Hidden Unit modes are Vo={0.1, 0.3}m desired output: d=1.0.

10 M

3 (b)
What is selft-organizing map? Draw and explain architecture of Kohonen Self Organization Feature Map KSOFM.

10 M

4 (a)
What are the different types of encoding, selection, crossover, mutations of GA. Explain each type with suitable examples.

10 M

4 (b)
Explain with suitable examples Linearly and Non-linearly separable pattern classification.

10 M

5 (a)
Explain Learning Vector Quantization Algorithm?

10 M

5 (b)
The formation of algal solutions in surface water is strongly dependent on pH of water, temperature and oxygen content. T is a set of water temperature from a lake given by T={50, 55, 60} and O is oxygen values in water given by O={1, 2, 6}. The fuzzy set of T is given by {0.7 / 50+0.8 / 55+0.9 / 60} and fuzzy set of O is given by {0.1 / 1+0.6/ 2+0.8 /6}

i) Find R=T×O for Given I=(0.5/ 50 +1/ 55+0.7/60}

ii) Find S=I o R using max- product composition

iii) Find S= I o R using max-min composition.

i) Find R=T×O for Given I=(0.5/ 50 +1/ 55+0.7/60}

ii) Find S=I o R using max- product composition

iii) Find S= I o R using max-min composition.

10 M

Write short notes on any two:

6 (a)
Steepest Descent algorithm.

10 M

6 (b)
Newton Method

10 M

6 (c)
Fuzzy inference system.

10 M

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