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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Klement, E. P. (Erich Peter), Mesiar, Radko
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2005.
Edición:1st ed.
Temas:
Fuzzy sets.
Set theory.
Ensembles flous.
Th�eorie des ensembles.
MATHEMATICS > Set Theory.
Waarschijnlijkheidstheorie.
Analyse (wiskunde)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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