Fuzzy Set Theory and Its Applications Fourth Edition H.-J. Zimmermann

 Fuzzy  Set  Theory and  Its  Applications Fourth  Edition H.-J.  Zimmermann 

The scope of part I has only been extended with respect to t-norms, other operators and uncertainty modeling because I am convinced that chapters 2 to 7 are still sufficient as a mathematical basis to understand all new developments in this area and also for part II of the book, where the major changes and extensions of this edition can be found: In chapter lathe modeling of uncertainty in expert systems was extended because this component has gained importance in practice.

 In chapter II primarily a section for defuzzification has been D for the same reason. Chapter 12 has been added because the application of fuzzy technology in information processing is already important and will certainly increase in importance in the future. Chapter 13 has been extended by explaining new methodological developments in dynamic fuzzy data analysis, which will also be of growing importance in the future. Eventually applications in chapter 15 have been completely restructured by deleting some, adding others and classifying all of them differently. This was necessary because the focus of applications here changed, for reasons explained in this chapter, strongly from "engineering intelligence" to "business intelligence".

Topics of this book classified into two big parts. They are Part I: Fuzzy Mathematics and Part II: Applications of Fuzzy Set Theory 

The topics are discussed in this book, 

Part I:FuzzyMathematics

1. Introduction to Fuzzy Sets

2. Fuzzy Sets-Basic Definitions

3. Extensions

4. Fuzzy Measures and Measures of Fuzziness

5. The Extension Principle and Applications

6. Fuzzy Relations and Fuzzy Graphs

7. Fuzzy Analysis

8. Uncertainty Modeling

Part II: Applications of Fuzzy Set Theory

9. Fuzzy Logic and Approximate Reasoning

10. Fuzzy Sets and Expert Systems

11. Fuzzy Control

12. Fuzzy DataBases and Queries

13. Fuzzy Data Analysis

14. Decision Making in Fuzzy Environments

15. Applications of Fuzzy Sets in Engineering and Management

16. Empirical Research in Fuzzy Set Theory

17. Future Perspectives

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