Triangular Norms
The history of triangular norms started with the paper "Statistical metrics" [Menger 1942]. The main idea of Karl Menger was to construct metric spaces where probability distributions rather than numbers are used in order to de scribe the distance between two elements of the space in ques...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Trends in Logic, Studia Logica Library
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I
- 1. Basic definitions and properties
- 2. Algebraic aspects
- 3. Construction of t-norms
- 4. Families of t-norms
- 5. Representations of t-norms
- 6. Comparison of t-norms
- 7. Values and discretization of t-norms
- 8. Convergence of t-norms
- II
- 9. Distribution functions
- 10. Aggregation operators
- 11. Many-valued logics
- 12. Fuzzy set theory
- 13. Applications of fuzzy logic and fuzzy sets
- 14. Generalized measures and integrals
- A. Families of t-norms
- A.1 Aczél-Alsina t-norms
- A.2 Dombi t-norms
- A.3 Frank t-norms
- A.4 Hamacher t-norms
- A.5 Mayor-Torrens t-norms
- A.6 Schweizer-Sklar t-norms
- A.7 Sugeno-Weber t-norms
- A.8 Yager t-norms
- B. Additional t-norms
- B.1 Krause t-norm
- B.2 A family of incomparable t-norms
- Reference material
- List of Figures
- List of Tables
- List of Mathematical Symbols