Name: null-additive set functions
SKU: 3619049
Price: 3364.00 TWD
Availability: InStock
Author: pap
ISBN: 9780792336587

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Type

Physical Book

Publisher

Springer

Author

pap

Language

English

Pages

324

ISBN

0792336585

ISBN13

9780792336587

Synopsis "null-additive set functions"

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.