George A. Anastassiou Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators 9783030042868

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Автор: George A. Anastassiou
Название: Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators
ISBN: 9783030042868
Издательство: Springer
Классификация:

Кибернетика и теория систем

Математическая физика

Электроника

Техника автоматического регулирования

Искусственный интеллект

ISBN-10: 3030042863
Обложка/Формат: Hardcover
Страницы: 347
Вес: 0.71 кг.
Дата издания: 2019
Серия: Studies in Systems, Decision and Control
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 100 tables, color; 1 illustrations, black and white; xiv, 347 p. 1 illus.
Размер: 234 x 156 x 21
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: Approximation with rates by Kantorovich-Choquet quasi-interpolation neural network operators.- Approximation with rates by Perturbed Kantorovich-Choquet Neural Network Operators.- Approximation with rates by Shift Invariant Univariate Sublinear-Choquet Op

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