Introduction To Fuzzy Logic

Designed primarily as a text for senior undergraduate students of Computer Science and Engineering, and postgraduate students of Mathematics and Applied Mathematics, this compact book describes the theoretical aspects of fuzzy set theory and fuzzy logic.

Based on his many years of experience, Professor Rajjan Shinghal gives a succinct analysis of the procedures for fuzzy sets complementation, intersection, and union. He also explains clearly how arithmetic operations are carried out on approximate numbers, how fuzzy sets are used for reasoning, and how they are employed for unsupervised learning. Finally, the book shows how fuzzy sets are utilized in applications such as logic control, databases, information retrieval, ordering of objects, and satisfying multiple goals.

Besides students, professionals working in research organizations should find the book quite useful.

1. An Overview of Crisp Sets

2. Basics of Fuzzy Sets

3. Developing Membership Functions

4. Complement of a Fuzzy Set

5. Intersection and Union of Fuzzy Sets

6. Fuzzy Arithmetic with Extension Principle

7. Fuzzy Arithmetic with Interval Analysis

8. Fuzzy Relations for Mapping of Fuzzy Sets

9. Defuzzification

10. Approximate Reasoning: Modus Ponens

11. Approximate Reasoning: Modus Tollens

12. Fuzzy Clustering

13. Fuzzy Logic Applications

Bibliography

Index