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Logical, algebraic, analyti...
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 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
Monografía
monografia Rebiun16317507 https://catalogo.rebiun.org/rebiun/record/Rebiun16317507 070802s2005 ne a sb 001 0 eng d 9780444518149 0444518142 UPM 991005220929704212 UPNA0201066 CBUC 991014274479706706 UIB (236332) OPELS. OPELS. UMA.RE Logical, algebraic, analytic, and probabilistic aspects of triangular norms Recurso electrónico] edited by Erich Peter Klement, Radko Mesiar 1st ed Servicio en línea Amsterdam Boston Elsevier 2005 Amsterdam Boston Amsterdam Boston Elsevier viii, 481 p. ill. 25 cm viii, 481 p. Books on ScienceDirect Includes bibliographical references and index 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 Acceso restringido a miembros del Consorcio de Bibliotecas Universitarias de Andalucía 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 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 Modo de acceso: World Wide Web ScienceDirect (M) Fuzzy sets Set theory Fuzzy sets. gtt Waarschijnlijkheidstheorie. gtt Analyse (wiskunde). gtt Libros electrónicos Klement, E. P. Erich Peter) Mesiar, Radko ScienceDirect (Servicio en línea)