Convergence of sequences of fuzzy numbers and fixed point theorems for increasing fuzzy mappings and application

被引:42
作者
Wu, CX [1 ]
Wang, GX [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
关键词
fuzzy numbers; increasing fuzzy mappings; fixed points; maximum fixed points; minimum fixed points;
D O I
10.1016/S0165-0114(01)00231-7
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we discuss some properties of the convergence of sequences of fuzzy numbers and obtain some fixed point theorems for increasing fuzzy mappings. And as applications, we give two examples. One is about fishery production, which discusses the balance problems between the quantity of catching fish and the increase in the quantity of fish that is produced by the reproduction and growth of fish. Another is about the solvability of the equation of fuzzy numbers. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码:383 / 390
页数:8
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