Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators

By:

George A. Anastassiou

Format:

Hardback

Series:

Studies in Systems, Decision and Control

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Description

Ordinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexible approximations based on limited data. The author presents both the univariate and multivariate cases. The involved set functions are much weaker forms of the Lebesgue measure and they were conceived to fulfill the needs of economic theory and other applied sciences. The approaches presented here are original, and all chapters are self-contained and can be read independently. Moreover, the book’s findings are sure to find application in many areas of pure and applied mathematics, especially in approximation theory, numerical analysis and mathematical economics (both ordinary and fractional). Accordingly, it offers a unique resource for researchers, graduate students, and for coursework in the above-mentioned fields, and belongs in all science and engineering libraries.

Release date NZ

January 29th, 2019

Author

George A. Anastassiou

Series

Studies in Systems, Decision and Control

Pages

347

Edition

1st ed. 2019

Audience

Professional & Vocational

Illustrations

1 Illustrations, black and white; XIV, 347 p. 1 illus.

ISBN-13

9783030042868

Product ID

28485305

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