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

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 flexib...

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Bibliographic Details
Main Author: Anastassiou, George A. (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Studies in Systems, Decision and Control, 190
Subjects:
Computational intelligence.
Control engineering.
System theory.
Control theory.
Computational Intelligence.
Control and Systems Theory.
Systems Theory, Control.
Online Access:Full-text access
Table of Contents:
  • 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 Operators
  • Approximation with rates by Shift Invariant Multivariate Sublinear-Choquet Operators
  • Hardy type inequalities for Choquet integrals
  • Quantitative Approximation by Choquet integrals
  • Conformable Fractional Approximation by Choquet integrals
  • Multivariate and Convex Quantitative Approximation by Choquet integrals
  • Caputo and Canavati fractional Quantitative Approximation by Choquet integrals
  • Mixed Conformable and Iterated fractional Quantitative Approximation by Choquet integrals.

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