2004-05 MODEL PAPER

MCA 3.1.4

NEURAL NETWORKS & FUZZY SYSTEMS

Elective II

First Question is Compulsory

Answer any four from the remaining

Answer all parts of any Question at one place.

Time: 3 Hrs.
Max. Marks: 100

1. write briefly
a. Stochastic Equilibrium b. Hop field Circuit
c. Max – Mini Fuzzy composition d. Subset hood
e. Bi-directional stability

2. a. Describe Neural and Fuzzy systems as model free function estimators.
b. Discuss the Taxonomy of nearest Network models

3. a. Discuss commonly used signal functions to model the activation of neural in neural networks
b. Find the optimal layer associative memory (OLAM) matrix M for the association given below
A1 = (1 2 3) B1 = (4 3 2 )
A2 = (2 3 4) B2 = (3 5 2 )
A3 = (3 4 6) B3 = (2 2 1)
Determining whether Ai= M - Bi

4. Discuss in detail the two additive bivalent neural Network models and compare them.

5. a. What is competitive learning? How does it differ from signal Hebbrian learning.
b. What are Fuzzy Cognitive Maps ? How can they be used to combined opinion of multiple experts ?

6. a. Discuss the essential differences between supervised and unsupervised learning in Neural Nets.
b. Discuss various learning algorithms and write their limitations.

7. a. State the fuzzy entropy Theorem and explain it suitable example.
b Write the entropy – subsethood theorem and its implications

8. a. What is Fuzzy centroid defuzzification scheme? Explain how is it used in FAM system architecture.
b. Use Correlation – Minimum encoding to construct the FAM matrix M from the fit- Vector pair (A,B) if A=(0.6, 1,0.2,0.9) and B=(0.8 0.3 1.0) . Is (A,B) a bidirectional fined points? Pass A”=(0.2 0.9 0.3 0.2) through M and B”=(0.9 .5 1.0) through MT . Do the recalled fuzzy sets differ from B and A?