| 摘要: |
| 本文研究了模糊赋范空间中的范数结构问题.利用“切片”的方法，通过引入K函数，在更广泛意义下讨论了带连续t-模的模糊范数空间中存在的范数结构，给出了这些范数结构之间的关系.所得结果推广了现有的结论，并为模糊赋范空间的进一步研究提供了一种新的途径. |
| 关键词: 模糊分析 模糊赋范空间 范数结构 拓扑 |
| DOI： |
| 分类号:O159 |
| 基金项目:Supported by National Natural Science Foundation of China (11371013). |
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| NORM STRUCTURES OF A FUZZY NORMED SPACE |
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LI Xin-xin, WU Jian-rong
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School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China
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| Abstract: |
| In this paper, the problem of norm structures in the fuzzy normed space is studied. By using the “cut” method and introducing K function, we discuss the norm structures existing in the fuzzy normed space with continuous t-norm in a broader sense, and give the relations between these norm structures. The obtained results generalize the existing conclusions and provide a new way for the further research of the fuzzy normed space. |
| Key words: fuzzy analysis fuzzy normed space norm structure topology |
