| 广义集合概念及其内涵剖析 |
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| 引用本文： | 王清印,赵秀恒,王峰丽.广义集合概念及其内涵剖析[J].模糊系统与数学,2006,20(4):61-67. |
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| 作者姓名： | 王清印 赵秀恒 王峰丽 |
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| 作者单位： | 1. 河北经贸大学,不确定性系统研究所,河北,石家庄,050091
2. 机械工业信息研究院,北京,100037 |
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| 基金项目： | 国家自然科学基金资助项目(70271006)，河北省社科院规划项目(200202006) |
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| 摘 要： | 在剖析C an tor集合、Fuzzy集合、R ough集合、Ex tension集合、G rey集合;U nascerta ined集合、U n iversal G rey集合、V ague集合概念内涵的基础上,建立了广义集合(G eneralized sets)概念,并在对其内涵进行剖析的基础上讨论了它的基本性质。
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| 关 键 词： | Generalized集合 Cantor集合 Fuzzy集合 Rough集合 Extension集合 Grey集合 Unascertained集合 UniversalGrey集合 Vague集合 |
| 文章编号： | 1001-7402（2006）04-0061-07 |
| 收稿时间： | 2005-06-18 |
| 修稿时间： | 2006-05-13 |
The Concept and Connotation of Generalized Sets |
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| WANG Qing-yin,ZHAO Xiu-heng,WANG Feng-li.The Concept and Connotation of Generalized Sets[J].Fuzzy Systems and Mathematics,2006,20(4):61-67. |
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| Authors: | WANG Qing-yin ZHAO Xiu-heng WANG Feng-li |
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| Institution: | 1. Hebei University of Economy Trade, Shijiazhang 050091,China; 2. China Machinery Industry Information Institute,Beijing 100037 ,China |
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| Abstract: | Based Grey Sets,on analyzing the concept and connotation of Cantor sets,Fuzzy sets,(Rough) sets,Extension sets,Grey sets,Unascertained sets,Universal Grey sets and Vague Sets,this paper put forwards the concept of Generalized sets,and discusses its connotation and fundamental(properties.) |
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| Keywords: | Generalized Set Cantor Set Fuzzy Set Rough Set Extension Set Grey Set Unascertained Set Universal Grey Set Vague Sets |
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