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What is meant by Lambda cut of a fuzzy set? Show that Lambda cut relation of
fuzzy relation is crisp.
Using inference approach, find the membership values for each of the triangular
shapes (I_,R-,E-,IR-,T_) for each of the following (all in degrees):

(a) 20° , 40° , 120°
PART ந
Answer any four full questions, each carries 10 marks.

Define Tautology. Prove the tautology (P=>Q)v(Q=> 2) using Truth values

in Fuzzy Logic?
What are Fuzzy propositions? List the operations on Fuzzy propositions?
Give the Canonical form of Fuzzy Rule Based System. Give the syntax for the
formation of Fuzzy rule using
i) Assignment statements
ii) Conditional statements
111) Unconditional statements
Explain any two methods for the decomposition of fuzzy rules.
What is Fuzzy Inference System (FIS)? Illustrate Mamdani FIS and Sugeno FIS
with examples?
What are Genetic Algorithms (GA)? Explain the operators in GA?
Explain four mutation methods?
List the stopping condition for Genetic Algorithm Flow?
State the properties of Genetic Neuro Hybrid System. Draw the block diagram of
Genetic Neuro Hybrid System.

What is Cooperative Neural Fuzzy system? Illustrate its classification types?

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