Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

This volume is a generic of mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts. The theory and the probabilistic metric spaces.

Key Features:

- Complete state of the art of triangular norms in various mathematical fields
- 16 self-contained chapters with an 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 proprietors (aggregation operators, copulas) are covered
- Book contains many enlightening illustrations

· Complete state of the importance of triangular norms in various mathematical fields
· 16 self-contained chapters with extensive bibliographies, cover, both theoretical 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

Preface
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-less 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 her 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
index