Null-Additive Set Functions - Couverture rigide

Pap, E.

 
9780792336587: Null-Additive Set Functions
Couverture rigide
ISBN 10 : 0792336585 ISBN 13 : 9780792336587
Editeur : Kluwer Academic Publishers, 1995

Synopsis

This volume presents a unified approach to the mathematical theory of a wide class of non-additive set functions, the so called null-additive set functions, which also includes classical measure theory. It includes such important set functions as capacities, triangular set functions, some fuzzy measures, submeasures, decomposable measures, possibility measures, distorted probabilities, autocontinuous set functions, etc.
The usefulness of the theory is demonstrated by applications in nonlinear differential and difference equations; fractal geometry in the theory of chaos; the approximation of functions in modular spaces by nonlinear singular integral operators; and in the theory of diagonal theorems as a universal method for proving general and fundamental theorems in functional analysis and measure theory.
Audience: This book will be of value to researchers and postgraduate students in mathematics, as well as in such diverse fields as knowledge engineering, artificial intelligence, game theory, statistics, economics, sociology and industry.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This volume presents a unified approach to the mathematical theory of a wide class of non-additive set functions, the so called null-additive set functions, which also includes classical measure theory. It includes such important set functions as capacities, triangular set functions, some fuzzy measures, submeasures, decomposable measures, possibility measures, distorted probabilities, autocontinuous set functions, etc. The usefulness of the theory is demonstrated by applications in nonlinear differential and difference equations; fractal geometry in the theory of chaos; the approximation of functions in modular spaces by nonlinear singular integral operators; and in the theory of diagonal theorems as a universal method for proving general and fundamental theorems in functional analysis and measure theory. Audience: This book will be of value to researchers and postgraduate students in mathematics, as well as in such diverse fields as knowledge engineering, artificial intelligence, game theory, statistics, economics, sociology and industry.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Kluwer Academic Publishers
Date d'édition
1995
Langue
anglais
ISBN 10 
0792336585
ISBN 13 
9780792336587
Reliure
Relié
Nombre de pages
315
Coordonnées du fabricant
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Allemagne

Autres éditions populaires du même titre

9789048146024: Null-Additive Set Functions

Edition présentée

ISBN 10 :  904814602X ISBN 13 :  9789048146024
Editeur : Springer, 2010
Couverture souple