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数学与物理
应用数学进展
Vol. 12 No. 5 (May 2023)
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模糊赋范线性空间的1-范数——模糊1-范数
1-Norm of Fuzzy Normed Linear Space—Fuzzy 1-Norm
DOI:
10.12677/AAM.2023.125242
,
PDF
,
被引量
作者:
蒋 浩
:西华大学理学院,四川 成都
关键词:
模糊赋范线性空间
;
1-范数
;
1-范收敛
;
1-闭集
;
Fuzzy Normed Linear Space
;
1-Norm
;
Convergence of 1-Norm
;
1-Closed Set
摘要:
本文的主要内容是基于T. Bag和S. K. Samanta于2003年建立的模糊赋范线性空间;我们根据 -范数是上升集簇的性质,选取确界逼近的方式,定义了1-范数的概念,并研究其连续性、收敛性等相关性质。
Abstract:
The main content of this paper is based on the fuzzy normed linear space established by T. Bag and S. K. Samanta in 2003; Based on the property that -norm is an ascending cluster, we select the way of approximation to define the concept of 1-norm, study continuity, convergence and its related properties.
文章引用:
蒋浩. 模糊赋范线性空间的1-范数——模糊1-范数[J]. 应用数学进展, 2023, 12(5): 2402-2409.
https://doi.org/10.12677/AAM.2023.125242
参考文献
[1]
Bag, T. and Samanta, S.K. (2003) Finite Dimensional Fuzzy Normed Linear Spaces. The Journal of Fuzzy Mathematics, 11, 687-705.
[2]
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[4]
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