Triangular Norms
(Sprache: Englisch)
This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and...
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Klappentext zu „Triangular Norms “
This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.
Inhaltsverzeichnis zu „Triangular Norms “
- Acknowledgments- Introduction
- Notations used in this book
Part 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
Part 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
- Appendix A: Families of t-norms. B: Additional t-norms
- Reference material
- List of Figures
- List of Tables
- List of Mathematical Symbols
- Bibliography
- Index
Bibliographische Angaben
- Autoren: Erich Peter Klement , R. Mesiar , E. Pap
- 2000, 2000, 387 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Netherlands
- ISBN-10: 0792364163
- ISBN-13: 9780792364160
- Erscheinungsdatum: 31.07.2000
Sprache:
Englisch
Rezension zu „Triangular Norms “
"The book is very well written and constitutes a valuable addition to the literature on t-norms and, in general fuzzy reasoning. It presents almost all of the most important developments of fuzzy sets and fuzzy logic by focusing on the central concept of triangular norm. It is divided into two parts and an appendix, which gives a summary of the existing families of t-norms."(Mathematical Reviews, 2002a)
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