| 局部紧T2拓扑空间上的F-容度 |
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| 引用本文： | 朱良宽,王长忠,陈德刚. 局部紧T2拓扑空间上的F-容度[J]. 渤海大学学报(自然科学版), 2003, 24(3): 51-57 |
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| 作者姓名： | 朱良宽 王长忠 陈德刚 |
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| 作者单位： | 锦州师范学院,数学系,辽宁,锦州,121000 |
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| 基金项目： | 辽宁省教育厅攀登计划项目(20161049). |
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| 摘 要： | 首先定义了模糊数值外测度;在局部紧拓扑T2空间上定义了模糊数值容度,并利用模糊数的d1度量讨论了模糊数值容度的性质;利用模糊数值外测度和模糊数容度给出一种由简单模糊数值函数构造出正则模糊数测度的方法;最后讨论了模糊数值容度的正则性与其引出的正则模糊数测度的关系.
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| 关 键 词： | d1-度量 F-外测度 模糊数 正则性 F-容度 |
| 文章编号： | 1007-533X(2003)03-0051-07 |
| 修稿时间： | 2003-06-05 |
F-Content on a Locally Compact T2 Topological Space |
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| ZHU Liang-kuan,WANG Chang-zhong,CHEN De-gang. F-Content on a Locally Compact T2 Topological Space[J]. Journal of Bohai University:Natural Science Editio, 2003, 24(3): 51-57 |
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| Authors: | ZHU Liang-kuan WANG Chang-zhong CHEN De-gang |
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| Abstract: | Firstly the definition of fuzzy valued outer measure is given. Then the F- content on a locally T_2 topological space is defined. By using d_1 - metric, the property of F- content is discussed; A new method of generating a certain regular Borel measure from more primitive fuzzy valued set functions is provided by using fuzzy valued outer measure and fuzzy valued content. Finally, the regularity of F- content on a locally compact T_2 space and the relation with the regular fuzzy valued measure induced by F- content are discussed. |
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| Keywords: | d_1-metric F-outer measure Fuzzy number Regularity F-content |
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