Null-Additive Set Functions (Hardcover) (ISBN-13: 9780792336587)

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.

Author: E. Pap
ISBN-10: 0792336585
ISBN-13: 9780792336587
Publisher: Springer
Language: English
Published: 09/30/1995
Pages: 315
Format: Hardcover
Weight: 1.42lbs
Size: 9.21h x 6.14w x 0.75d