A note on fuzzy integral equations
type: Item
instance of: scholarly article
title: A note on fuzzy integral equations
zbMATH Open document ID: 0947.45001
DOI: 10.1016/S0165-0114(97)00331-X
author: Jae Ug Jeong
author: Jong Yeoul Park
published in: Fuzzy Sets and Systems
publication date: 2000-04-10T00:00:00Z
review text: Integration of fuzzy mappings was introduced by \textit{D. Dubois} and \textit{H. Prade} [Fuzzy Sets Syst. 8, 105-116 (1982; Zbl 0493.28003)] and generalized by \textit{R. Goetschel jun.} and \textit{W. Voxman} [Fuzzy Sets Syst. 18, 31-43 (1986; Zbl 0626.26014)] using a concept of parametric fuzzy numbers. This paper proves fuzzy versions of existence theorems for certain Volterra and Fredholm integral equations. Another approach to fuzzy integral equations can be found in a paper of \textit{M. Friedman, M. Ming} and \textit{A. Kandel} [Fundam. Inform. 37, No. 1-2, 89-99 (1999; Zbl 0934.45011)].
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 28E10
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 1400233
zbMATH Keywords: fuzzy number
zbMATH Keywords: fuzzy function
zbMATH Keywords: fuzzy integral
zbMATH Keywords: fuzzy integral equations
zbMATH Keywords: Fredholm integral equations
zbMATH Keywords: Volterra integral equation
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: s0165-0114(97)00331-x
OpenAlex ID: W2000787070
description: scientific article; zbMATH DE number 1400233