ISBN-10:
0792340574
ISBN-13:
9780792340577
Pub. Date:
05/31/1996
Publisher:
Springer Netherlands
Fuzzy Set Theory: Basic Concepts, Techniques and Bibliography / Edition 1

Fuzzy Set Theory: Basic Concepts, Techniques and Bibliography / Edition 1

by R. Lowen

Hardcover

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Product Details

ISBN-13: 9780792340577
Publisher: Springer Netherlands
Publication date: 05/31/1996
Edition description: 1996
Pages: 408
Product dimensions: 6.14(w) x 9.21(h) x 0.24(d)

Table of Contents

List of Figures. Preface. 1: Elementary Set Theory. 1. Sets and subsets. 2. Functions and relations. 3. Partially ordered sets. 4. The lattice of subsets of a set. 5. Characteristic functions. 6. Notes. 2: Fuzzy Sets. 1. Definitions and examples. 2. Lattice theoretical operations on fuzzy sets. 3. Pseudocomplementation. 4. Fuzzy sets, functions and fuzzy relations. 5. alpha-levels. 6. Notes. 3: t-Norms, t-Conorms and Negations. 1. Pointwise extensions. 2. t-Norms and t-Conorms. 3. Negations. 4. Notes. 4: Special Types of Fuzzy Sets. 1. Normal fuzzy sets. 2. Convex fuzzy sets. 3. Piecewise linear fuzzy sets. 4. Compact fuzzy sets. 5. Notes. 5: Fuzzy Real Numbers. 1. The probabilistic view. 2. The non-probabilistic view. 3. Interpolation. 4. Notes. 6: Fuzzy Logic. 1. Connectives in classical logic. 2. Fundamental classical theorems. 3. Basic principles of fuzzy logic. 4. Lattice generated fuzzy connectives. 5. t-Norm generated fuzzy connectives. 6. Probabilistically generated fuzzy connectives. 7. Notes. 7: Bibliography. 1. Books. 2. Articles. Index.

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