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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Null-Additive Set Functions (Paperback, Softcover reprint of hardcover 1st ed. 1995)
Loot Price: R2,937
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Null-Additive Set Functions (Paperback, Softcover reprint of hardcover 1st ed. 1995)
Series: Mathematics and Its Applications, 337
Expected to ship within 10 - 15 working days
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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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