Null-additive set functions
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Word Count
82,500 words, Guess
Page Count
330 pages
Physical Format
Hardcover
Identifiers
- ISBN-108088683122
- ISBN-100792336585
- ISBN-139788088683124
- ISBN-139780792336587
- Goodreads4717787
Classifications
- DDC515/.4
- LCCQA312 .P36 1995
- LCCQA1-939
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.
Description
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.
Subjects
Topics
Series Statement
- Mathematics and its applications ;
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