Endre Pap

Null-Additive Set Functions

• Broschiertes Buch

Produktbeschreibung

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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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Mathematics and Its Applications 337
• Verlag: Springer Netherlands
• Softcover reprint of hardcover 1st ed. 1995
• Seitenzahl: 328
• Erscheinungstermin: 15. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 18mm
• Gewicht: 499g
• ISBN-13: 9789048146024
• ISBN-10: 904814602X
• Artikelnr.: 32106157

Inhaltsangabe

Preface. 1. Introduction. 2. Null
additive set functions. 3. Autocontinuity of null
additive set functions. 4. Atoms of null
additive set functions. 5. Choquet and Sugeno integral. 6. Lebesgue decomposition and regularity of null
additive set functions. 7. The range of null
additive set function. 8. k
Triangular set functions. 9. Uniform space valued set functions. 10. Integrals based on decomposable measures. References. Index.