Fuzzy quasi-interpolation solution for Fredholm fuzzy integral equations of second kind
type: Item
instance of: scholarly article
title: Fuzzy quasi-interpolation solution for Fredholm fuzzy integral equations of second kind
zbMATH Open document ID: 1429.65306
author: K. Shakibi
author: Rosana Rodrıǵuez-López
author: Majid Amirfakhrian
published in: Soft Computing
publication date: 2018-02-27T00:00:00Z
review text: The paper under review deals with approximate solutions of Fredholm fuzzy integral equations of the second kind. The quasi-interpolation of the solution is based on radial basis functions [\textit{Z. Wu} and \textit{R. Schaback}, Acta Math. Appl. Sin., Engl. Ser. 10, No. 4, 441--446 (1994; Zbl 0822.41025)]. By discretization, the fuzzy integral equation is converted into a system of fuzzy linear equations which leads to approximate solutions. The approximation error is estimated using the Hausdorff distance for fuzzy numbers. The method is illustrated by three numerical examples.
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 65D12
zbMATH DE Number: 6844229
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: Fredholm integral equation
zbMATH Keywords: fuzzy number
zbMATH Keywords: radial basis function
MaRDI profile type: Publication
full work available at URL: s00500-016-2065-6
OpenAlex ID: W2258644255
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DOI: 10.1007/S00500-016-2065-6
description: scientific article; zbMATH DE number 6844229