The Convergence of Fuzzy Value Function Defined in Fuzzy Number

BI Shu-juan

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The Convergence of Fuzzy Value Function Defined in Fuzzy Number

更新时间：2026-07-10

- The Convergence of Fuzzy Value Function Defined in Fuzzy Number
- Vol. 15, Issue 2, Pages: 76-78(2010)
- 作者机构：
  
  1. 东北林业大学电机工程学院
  2. 哈尔滨学院数学与计算机学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O159
- Published：2010
- 稿件说明：
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BI Shu-juan. The Convergence of Fuzzy Value Function Defined in Fuzzy Number[J]. 2010, 15(2): 76-78.
DOI：

BI Shu-juan. The Convergence of Fuzzy Value Function Defined in Fuzzy Number[J]. 2010, 15(2): 76-78. DOI：

摘要

研究的模糊值函数是定义在模糊数集E1(所有的模糊数的集合)上

取值于E1中的模糊数的函数.把所有的关于y轴对称的模糊数都定义为零模糊数

则两个相同的模糊数的差为零

利用r-+r+这样一个数值来描述模糊数的序关系

就可以得到:关于纵向对称的模糊数都是等同的.在新的序关系意义下

定义了模糊值函数的极限

并讨论模糊值函数的收敛性质及Cauchy收敛判别法等.

Abstract

In this paper fuzzy-valued functions mean that the functions are defined in fuzzy numbers field E1(the set of all fuzzy numbers) and take values in E1.The author defines all fuzzy number which are symmetric respect to y axis as zero fuzzy number

then the difference of two same fuzzy number is zero fuzzy number.The fuzzy number order relation is described by value  r-+  r+.Then we obtain that the fuzzy numbers which are symmetric with y axis are same.The limits of fuzzy number valued function is discussed ...

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