Null-Additive Set Functions

By:

E. Pap

Format:

Paperback / softback

Series:

Mathematics and its Applications

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Description

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.

Release date NZ

December 15th, 2010

Author

E. Pap

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1995

Illustrations

XII, 315 p.

Pages

315

Series

Mathematics and its Applications

Dimensions

156x234x17

ISBN-13

9789048146024

Product ID

11075707

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