Klement / Mesiar | Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms | Buch | 978-0-444-51814-9 | www.sack.de

Buch, Englisch, 492 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1020 g

Klement / Mesiar

Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms


Erscheinungsjahr 2005
ISBN: 978-0-444-51814-9
Verlag: Elsevier Science & Technology

Buch, Englisch, 492 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1020 g

ISBN: 978-0-444-51814-9
Verlag: Elsevier Science & Technology

This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces.

Key Features:

- Complete state of the art of the importance of triangular norms in various mathematical fields
- 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications
- Chapter authors are leading authorities in their fields
- Triangular norms on different domains (including discrete, partially ordered) are described
- Not only triangular norms but also related operators (aggregation operators, copulas) are covered
- Book contains many enlightening illustrations

Klement / Mesiar Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms jetzt bestellen!

Zielgruppe

Mathematical and Computer Science Libraries, Scholars and students in mathematics and computer science with a particular interest in many-valued logic, its algebraic and analytical features, and in uncertainty modelling.

Autoren/Hrsg.

Klement, Erich Peter
Mesiar, Radko

Fachgebiete

Weitere Infos & Material

Part I: Introduction

1: Triangular norms, looking back—triangle functions, looking ahead

2: Triangular norms: Basic notions and properties

Part II: Theoretical Aspects of Triangular Norms

3: Semigroups and triangular norms

4: Generators of triangular norms

5: A survey on left-continuous t-norms and pseudo t-norms

6: Some aspects of functional equations

7: Triangular norms on discrete settings

8: Triangular norms and related operators in L*-fuzzy set theory

9: Fitting triangular norms to empirical data

Part III: Applications of Triangular Norms and Related Operations

10: Triangular norm-based mathematical fuzzy logics

11: Many-valued equalities and their representations

12: Varieties of algebras in fuzzy set theory

13: Triangular norms and measures of fuzzy sets

14: Copulas and quasi-copulas: An introduction to their properties and applications

15: Transitive comparison of random variables

16: Triangular norms in probabilistic metric spaces and fixed point theory

Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.