模糊赋范线性空间的1-n宽度——模糊1-n宽度
1-n Width of Fuzzy Normed Linear Space—Fuzzy 1-n Width
DOI: 10.12677/AAM.2023.125224, PDF,   
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；模糊1-n-宽度；Fuzzy Normed Linear Space； 1-Norm； Fuzzy 1-n-Width
摘要: 本文基于T. Bag和S. K. Samanta于2003年建立的模糊赋范线性空间，提出了1-范数、模糊1 − n宽度的概念，并研究其相关性质。
Abstract: In this thesis, we propose the definitions of 1-norm and fuzzy 1 − n width based on the fuzzy norm proposed by T. Bag and S. K. Santa in 2003, and investigate their main properties as well.
文章引用：蒋浩. 模糊赋范线性空间的1-n宽度——模糊1-n宽度[J]. 应用数学进展, 2023, 12(5): 2193-2199. https://doi.org/10.12677/AAM.2023.125224

参考文献

[1] Bag, T. and Samanta, S.K. (2003) Finite Dimensional Fuzzy Normed Linear Spaces. The Journal of Fuzzy Mathematics, 3, 687-705.
[2] Kolmogorov, A. (1936) Uber die deste Annaherung yon funktionen einer gegebenen functionenklasse. Annals of Mathematics, 37, 107-111. [Google Scholar] [CrossRef] 
[3] Pinkus, A. (1985) n-Widths in Ap-proximation Theory. Springer Berlin Heidelberg, Berlin. [Google Scholar] [CrossRef] 
[4] Bag, T. and Samanta, S.K. (2005) Fuzzy Bounded Linear Opera-tors. Fuzzy Sets and Systems, 151, 513-547. [Google Scholar] [CrossRef] 
[5] Bag, T. and Samanta, S.K. (2006) Fixed Point Theorems on Fuzzy Normed Linear Spaces. Information Sciences, 176, 2910-2931. [Google Scholar] [CrossRef] 

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