Continuity of fuzzy-valued operations

被引：0
|
作者：
Chen, QH [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, Beijing 100088, Peoples R China
来源：
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2002年 / E85A卷 / 09期
关键词：
fuzzy value; operation; continuity; metric space;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Fuzzy value is a fuzzy set on interval [0, 1], whose alpha-cuts are all closed intervals for alpha is an element of [0, 1], i.e., fuzzy value is a fuzzy number on [0, 1]. In this note, we introduce three kinds of metrics d(i) (i = 1, 2, 3) into fuzzy-valued space m[0, 1] and consider continuity of fuzzy-valued operations on metric spaces (m[0, 1], d(i)) (i = 1, 2, 3). The obtained results will provide some theoretical bases for numeral calculation of fuzzy-valued operations.
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页码：2184 / 2189
页数：6
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