| Vague拓扑空间和Vague连续映射* |
| |
| 引用本文： | 王昌,袁敏. Vague拓扑空间和Vague连续映射*[J]. 计算机应用研究, 2010, 27(10): 3644-3645. DOI: 10.3969/j.issn.1001-3695.2010.10.009 |
| |
| 作者姓名： | 王昌 袁敏 |
| |
| 作者单位： | 西北大学,数学系,数学与科学史研究中心,西安,710127 |
| |
| 基金项目： | 国家自然科学基金资助项目（10771169） |
| |
| 摘 要： | 基于Vague集现有理论、经典集合和Fuzzy集的拓扑理论，运用分析的方法推广了经典集合和Fuzzy集的相关拓扑理论，初步给出了Vague拓扑空间和Vague连续映射的概念，并就它们的一些性质进行了讨论。所得结果扩展了Vague集理论的研究范围，并提出了该领域未来可研究的方向。
|
| 关 键 词： | Vague集； Vague拓扑空间； Vague连续映射； Fuzzy集 |
Vague topological space and Vague continuous mapping |
| |
| WANG Chang,YUAN Min. Vague topological space and Vague continuous mapping[J]. Application Research of Computers, 2010, 27(10): 3644-3645. DOI: 10.3969/j.issn.1001-3695.2010.10.009 |
| |
| Authors: | WANG Chang YUAN Min |
| |
| Abstract: | Based on the presented theory of Vague sets and the topological theory of classical sets and Fuzzy sets,this paper spreaded the relative topological theory of classical sets and Fuzzy sets through the method of analysis, presented the basic concepts of Vague topological space and Vague continuous mapping, and discussed some relative properties of them. These results further extended the scope of the research on Vague sets, and proposed the future study aspects in this field. |
| |
| Keywords: | Vague sets Vague topological space Vague continuous mapping Fuzzy sets |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《计算机应用研究》浏览原始摘要信息 |
|
点击此处可从《计算机应用研究》下载全文 |
