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F7190

0.1 0.2 0.2 1
‏سی کت‎ ot ಇ.
Find the algebraic sum, algebraic product, bounded sum, and bounded difference
of the given sets.
Using inference method, find the membership values of the triangular shapes;
isosceles (1), right angled (R), isosceles and right angled (IR), equilateral (E), and
other triangles (T); for a triangle with angles 60, 55, and 65.
1 0.8 0 0.1 0.2

08 1 04 0 0.9
Consider the following fuzzy relation,R,=| 0 04 1

0.1 0 O 1 0.5

0.2 09 0 0.5 1
Show that the above relation is a tolerance relation.
Also, show that the -cut relation of the above relation results in a crisp tolerance
relation.

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PART E

Answer any four full questions, each carries 10 marks.
“A compound rule may be decomposed and reduced into a number of simple
canonical rule forms”. Explain the different methods to do so.
How can one perform the aggregation of fuzzy rules?
With the help of necessary block diagrams, compare Mamdani and Sugeno
Fuzzy Inference Systems.
With the help of examples, explain the various fuzzy propositions.
Explain the different methods for fuzzy approximate reasoning.
Explain the different methods of encoding that are possible in genetic algorithm.
“Termination criterion for a genetic algorithm brings the search to a halt”.
Explain the various termination techniques.
With the help of examples, explain the various crossover techniques employed in
genetic algorithms.
Illustrate the different steps in genetic-neuro hybrid systems with the help of a
neat block diagram.
Distinguish between the processes of tuning and learning in genetic-fuzzy rule

based systems.
111.

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