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模糊赋范线性空间的1-n宽度——模糊1-n宽度
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Abstract:
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。
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.
| [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. https://doi.org/10.2307/1968691 |
| [3] | Pinkus, A. (1985) n-Widths in Ap-proximation Theory. Springer Berlin Heidelberg, Berlin.
https://doi.org/10.1007/978-3-642-69894-1 |
| [4] | Bag, T. and Samanta, S.K. (2005) Fuzzy Bounded Linear Opera-tors. Fuzzy Sets and Systems, 151, 513-547.
https://doi.org/10.1016/j.fss.2004.05.004 |
| [5] | Bag, T. and Samanta, S.K. (2006) Fixed Point Theorems on Fuzzy Normed Linear Spaces. Information Sciences, 176, 2910-2931. https://doi.org/10.1016/j.ins.2005.07.013 |
