Convergence of sequences of fuzzy numbers and fixed point theorems for increasing fuzzy mappings and application
type: Item
instance of: scholarly article
title: Convergence of sequences of fuzzy numbers and fixed point theorems for increasing fuzzy mappings and application
zbMATH Open document ID: 1031.26025
DOI: 10.1016/S0165-0114(01)00231-7
author: Congxin Wu
author: Guixiang Wang
published in: Fuzzy Sets and Systems
publication date: 2003-02-05T00:00:00Z
review text: Fuzzy mappings (i.e., mappings assigning to an input fuzzy number an output fuzzy number) are discussed from fixed-point existence view. Based on some convergence results for sequences of fuzzy numbers, three types of fixed-point theorems (under different requirements) are shown. Obtained results are applied in fish production domain, discussing the balance problem between the quantity of catched fish and the reproduction and growth of the remaining fish. Another example concerns the solvability of an integral equation for fuzzy mappings (integral in Kaleva sense, i.e., a level-wise extension of the Aumann integral) is taken into account.
reviewed by: Radko Mesiar
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 1864847
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: increasing fuzzy mappings
zbMATH Keywords: maximum fixed-points
zbMATH Keywords: minimum fixed-points
zbMATH Keywords: integral in Kaleva sense
zbMATH Keywords: Aumann integral
MaRDI profile type: Publication
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full work available at URL: s0165-0114(01)00231-7
OpenAlex ID: W2001747031
description: scientific article; zbMATH DE number 1864847