L-metric on the space of L-fuzzy numbers

被引：7
|
作者：
Shi, Fu-Gui [1 ]
机构：
[1] Beijing Inst Technol, Beijing Key Lab MCAACI, Sch Math & Stat, Beijing 102488, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2020年 / 399卷 / 399期
基金：
中国国家自然科学基金;
关键词：
L-fuzzy number; L-topology; L-metric; Trapezoidal fuzzy numbers; NORMALITY; TOPOLOGY;
D O I：
10.1016/j.fss.2020.03.015
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this article, a natural L-topology is constructed on the set of L-fuzzy numbers, which is called the standard L-topology. It is proved that the standard L-topology can be induced by an L-metric. The space of trapezoidal fuzzy numbers can be regarded as a subspace of the space of L-fuzzy numbers. An L-metric on the set of trapezoidal fuzzy numbers is presented. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：95 / 109
页数：15
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