Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

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. 7 Complete state of the art of the importance of triangular norms in various mathematical fields7 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications7 Chapter authors are leading authorities in their fields7 Triangular norms on different domains (including discrete, partially ordered) are described7 Not only triangular norms but also related operators (aggregation operators, copulas) are covered7 Book contains many enlightening illustrations