Null-Additive Set Functions: 337 (Mathematics and Its Applications) - Tapa dura

Pap, E.; Pap, Endre

 
9780792336587: Null-Additive Set Functions: 337 (Mathematics and Its Applications)
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ISBN 10: 0792336585 ISBN 13: 9780792336587
Editorial: Springer, 1995

Sinopsis

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.

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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
1995
Idioma
Inglés
ISBN 10 
0792336585
ISBN 13 
9780792336587
Encuadernación
Tapa dura
Número de páginas
336
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

Tiergartenstraße 17
Heidelberg
Baden-Württemberg
69121
Alemania

Otras ediciones populares con el mismo título

9789048146024: Null-Additive Set Functions: 337 (Mathematics and Its Applications)

Edición Destacada

ISBN 10:  904814602X ISBN 13:  9789048146024
Editorial: Springer, 2010
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