The continuity of weighted mean map of fuzzy numbers

被引：4

作者：

Yang, Hanbiao ^{[1
]}

Yang, Zhongqiang ^{[2
]}

Fan, Taihe ^{[3
]}

Yang, Lin ^{[4
]}

机构：

[1] Wuyi Univ, Dept Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China

[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

[3] Zhejiang Sci Tech Univ, Dept Math Sci, Hangzhou 310018, Zhejiang, Peoples R China

[4] Jiangmen Polytech, Sch Mat & Food, Jiangmen 529020, Guangdong, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2024年 / 476卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy number; Metric; Colimit; Topology; Continuity; VALUED FUNCTIONS; NEURAL-NETWORKS; APPROXIMATION; SET; SPACE;

D O I：

10.1016/j.fss.2023.108768

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

It is well-known that fuzzy number plays a basic role in many fields of fuzzy mathematics, such as fuzzy analysis, fuzzy differential equations, fuzzy probability, and even applications on image processing. In the course of study, some natural metrics on the family of all fuzzy numbers and some natural maps such as weighted mean maps on fuzzy numbers are defined. In the present paper, 16 different topologies on the related sets are defined and compared. Moreover, the continuity of the weighted mean maps as a binary map or a unary map is discussed with respect to these topologies. Finally, an application of the above results is given.

引用

页数：20

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