Study on Generalized Directional Differentiability Problems of Fuzzy Mappings

被引：0
|
作者：
Bao, Yu-E [1 ]
Li, Tingting [1 ]
Zhang, Linfen [1 ]
机构：
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao, Inner Mongolia, Peoples R China
来源：
FUZZY SYSTEMS AND DATA MINING VI | 2020年 / 331卷
关键词：
Fuzzy mappings; gH-differentiability; gH-derivative; gH-partial derivative; gH-directional differentiability;
D O I：
10.3233/FAIA200681
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper discusses the gH-directional differentiability of fuzzy mappings, and proposes the concept of gH-directional differentiability of fuzzy mappings. Based on the concept of gH-directional differentiability of interval-valued mappings and its related properties, two properties of gH-directional differentiability fuzzy mappings are proposed. At the same time, the relation between gH-differentiability and gH-directional differentiability for a fuzzy mapping is discussed, and it is proved that both gH-derivative and gH-partial derivative are directional derivatives of fuzzy mappings in the direction of the coordinate axis.
引用
收藏
页码：7 / 15
页数：9
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