25-09-2012, 10:42 AM
Fuzzy Relations Question Paper
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1. What are fuzzy relations? List the operations on fuzzy relations and properties of fuzzy relations.
2. Define the following terms
a) core of a membership function
b) prototype of the set
c) cardinality of power set
d) crisp ordering
3. What Is Fuzzy Inference Systems? Where has fuzzy interference system been implemented?
4. What are the different steps of fuzzy logic toolbox? Explain in detail and write the equation for probabilistic system.
5. What is the purpose of aggregation? Explain the principles of fuzzy C-means algorithm and entropy-based fuzzy clustering algorithm.
6. Justify the following statements:
a) Every set is the subset of both itself as well as the Universal set,
b) An empty set is a subset of any other set,
c) Crisp set is a subset of the fuzzy set.
d) A fuzzy set is said to be convex, if all a-cut sets are convex
7. When and why do we go for hierarchical FLC?