Fuzzy trapezoidal cubature rule and application to two-dimensional fuzzy Fredholm integral equations
type: Item
instance of: scholarly article
title: Fuzzy trapezoidal cubature rule and application to two-dimensional fuzzy Fredholm integral equations
zbMATH Open document ID: 1409.65112
author: Alexandru Mihai Bica
author: Constantin Popescu
published in: Soft Computing
publication date: 2018-02-27T00:00:00Z
review text: The paper deals with fuzzy Fredholm integral equations (cf. e.g. [\textit{A. M. Bica}, Inf. Sci. 178, No. 5, 1279--1292 (2008; Zbl 1144.65082)]) with a double Henstock integral for fuzzy-valued functions (cf. [\textit{C. Wu} and \textit{Z. Gong}, Fuzzy Sets Syst. 120, No. 3, 523--532 (2001; Zbl 0984.28010)]). If the given fuzzy number-valued functions are Lipschitzian with respect to the Hausdorff metric, then existence, uniqueness and iterative approximations of solutions are obtained by the Banach fixed point principle. Numerical integration is considered for trapezoidal cubature what is explained by the final example.
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 6843872
zbMATH Keywords: fuzzy number
zbMATH Keywords: fuzzy-valued function
zbMATH Keywords: Lipschitzian function
zbMATH Keywords: iterative method
zbMATH Keywords: fuzzy Fredholm integral equations
zbMATH Keywords: trapezoidal cubature
MaRDI profile type: Publication
full work available at URL: s00500-015-1856-5
OpenAlex ID: W1754515721
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DOI: 10.1007/S00500-015-1856-5
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description: scientific article; zbMATH DE number 6843872