The norm of continuous linear operator between two fuzzy quasi-normed spaces

被引：3
|
作者：
Wang, Han [1 ]
Wu, Jianrong [1 ]
机构：
[1] Suzhou Univ Sci & Technol, Coll Math Sci, Suzhou 215009, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 07期
基金：
中国国家自然科学基金;
关键词：
fuzzy quasi-norm; continuous linear operator; bounded linear operator; family of star quasi-seminorms; fuzzy functional analysis;
D O I：
10.3934/math.2022655
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, firstly, we introduce the concepts of continuity and boundedness of linear operators between two fuzzy quasi-normed spaces with general continuous t-norms, prove the equivalence of them, and point out that the set of all continuous linear operators forms a convex cone. Secondly, we establish the family of star quasi-seminorms on the cone of continuous linear operators, and construct a fuzzy quasi-norm of a continuous linear operator.
引用
收藏
页码：11759 / 11771
页数：13
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