Fuzzy Set Theory Basic Concepts, Techniques and Bibliography
The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of th...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1996, 1996
|
| Edition: | 1st ed. 1996 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Elementary Set Theory
- Section 1 Sets and subsets
- Section 2 Functions and relations
- Section 3 Partially ordered sets
- Section 4 The lattice of subsets of a set
- Section 5 Characteristic functions
- Section 6 Notes
- 2 Fuzzy Sets
- Section 1 Definitions and examples
- Section 2 Lattice theoretical operations on fuzzy sets
- Section 3 Pseudocomplementation
- Section 4 Fuzzy sets, functions and fuzzy relations
- Section 5 ?-levels
- Section 6 Notes
- 3 t-Norms, t-Conorms and Negations
- Section 1 Pointwise extensions
- Section 2 t-Norms and t-Conorms
- Section 3 Negations
- Section 4 Notes
- 4 Special Types of Fuzzy Sets
- Section 1 Normal fuzzy sets
- Section 2 Convex fuzzy sets
- Section 3 Piecewise linear fuzzy sets
- Section 4 Compact fuzzy sets
- Section 5 Notes
- 5 Fuzzy Real Numbers
- Section 1 The probabilistic view
- Section 2 The non-probabilistic view
- Section 3 Interpolation
- Section 4 Notes
- 6 Fuzzy Logic
- Section 1 Connectives in classical logic
- Section 2 Fundamental classical theorems
- Section 3 Basic principles of fuzzy logic
- Section 4 Lattice generated fuzzy connectives
- Section 5 t-Norm generated fuzzy connectives
- Section 6 Probabilistically generated fuzzy connectives
- Section 7 Notes
- 7 Bibliography
- Section 1 Books
- Section 2 Articles