Overview
- Presents a range of original approaches to approximation
- All chapters are self-contained and can be read independently
- Provides a deeper formal analysis of several issues that are relevant to decision making, complex processes, systems modeling and control, and related areas
- Is suitable as a textbook for related graduate classes
- Obtains results that 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)
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 190)
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Table of contents (17 chapters)
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Front Matter
Keywords
About this book
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.Authors and Affiliations
Bibliographic Information
Book Title: Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators
Authors: George A. Anastassiou
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-04287-5
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-04286-8Published: 29 January 2019
eBook ISBN: 978-3-030-04287-5Published: 07 December 2018
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XIV, 347
Number of Illustrations: 1 b/w illustrations
Topics: Computational Intelligence, Control and Systems Theory, Systems Theory, Control