Description

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

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

Readership

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.

Details

No. of pages:
492
Language:
English
Copyright:
© 2005
Published:
Imprint:
Elsevier Science
Print ISBN:
9780444518149
Electronic ISBN:
9780080459530

About the authors

Erich Klement

Affiliations and Expertise

Johannes Kepler Universitat, Linz, Austria

Radko Mesiar

Affiliations and Expertise

Slovak University of Technology, Bratislava, Slovakia

Reviews

"...very good information about the state of the art of the triangular norms theory in the recent time. This quality makes the volume very attractive for everybody who is interested in the t-norms in the models of uncertainty." -Milan Mares, in BOOK REVIEWS, Vol. 41, 2005