Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

Preface Part I. INTRODUCTION 1 Triangular norms, looking backtriangle 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 Index