Null-Additive Set Functions: 337 - Rilegato

Pap, E.

Rilegato

ISBN 10: 0792336585 ISBN 13: 9780792336587

Casa editrice: Springer-Verlag GmbH, 1995

Riassunto

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 set functions such as capacities, triangular set functions, some fuzzy measures, submeasures, decomposable measures, possibility measures, distorted probabilities, and autocontinuous set functions, for example. 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.

Su questo libro

Contenuti

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.

Product Description

Book by Pap Endre

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 0792336585
• ISBN 13: 9780792336587
• Rilegatura: Copertina rigida
• Numero di pagine: 332
• Contatto del produttore: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Germania