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010   $a3-030-04287-1
024 7 $a10.1007/978-3-030-04287-5
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035   $a(MiAaPQ)EBC5611912
035   $a(DE-He213)978-3-030-04287-5
035   $a(PPN)243770863
035   $a(EXLCZ)994100000007204904
100   $a20181207d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOrdinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators /$fby George A. Anastassiou
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (355 pages)
225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v190
311   $a3-030-04286-3 
327   $aApproximation 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.
330   $aOrdinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexible approximations based on limited data. The author presents both the univariate and multivariate cases. The involved set functions are much weaker forms of the Lebesgue measure and they were conceived to fulfill the needs of economic theory and other applied sciences. The approaches presented here are original, and all chapters are self-contained and can be read independently. Moreover, the book?s findings are sure to find application in many areas of pure and applied mathematics, especially in approximation theory, numerical analysis and mathematical economics (both ordinary and fractional). Accordingly, it offers a unique resource for researchers, graduate students, and for coursework in the above-mentioned fields, and belongs in all science and engineering libraries.
410  0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v190
606   $aComputational intelligence
606   $aAutomatic control
606   $aSystem theory
606   $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
615  0$aComputational intelligence.
615  0$aAutomatic control.
615  0$aSystem theory.
615 14$aComputational Intelligence.
615 24$aControl and Systems Theory.
615 24$aSystems Theory, Control.
676   $a515.43
700   $aAnastassiou$b George A$4aut$4http://id.loc.gov/vocabulary/relators/aut$060024
906   $aBOOK
912   $a9910483139003321
996   $aOrdinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators$92845820
997   $aUNINA