Q1.
a) Write down main benefits of using the Rough set approach which are used in wide variety of applications such as in machine learning, knowledge discovery, expert systems, data mining, approximate reasoning and pattern recognition.
b) Assume that S = (U, A) be an information system and let B ⊆ A, and X ⊆U, define the given terms by using appropriate illustration(s):
- B-lower and B-upper approximations of X
- Internally and externally B-indefinable
- Roughly B-definable and totally B-indefinable
Q2. Write detail notes on any three of the given with appropriate examples wherever needed:
a) Hybrid systems and its applications.
b) Fuzzy filtered neural networks.
c) Genetic algorithm for the neural network design.
d) Fuzzy logic and genetics algorithm for the optimization.