| Structure of Closed Sets in Fuzzy Matroid |
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| 引用本文： | WU De-yin,LIU Zhi-hu,LI Yong-hong. Structure of Closed Sets in Fuzzy Matroid[J]. 保鲜与加工, 2007, 0(7): 138-143 |
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| 作者姓名： | WU De-yin LIU Zhi-hu LI Yong-hong |
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| 作者单位： | 1. College of Mathematics and Physics, Chongqing University, Chongqing 400030, China ; 2. College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| 摘 要： | The authors study the properties and structures of fuzzy closed sets and fuzzy hyperplanes.The relationship between the closed set and it's derived matroid's closed set;The intersection of all hyperplanes in matroids is the smallest closed set and its rank is zero;The intersection of all fuzzy hyperplanes in fuzzy matroids is the smallest closed set and its rank is zero;The characteristics of structures of fuzzy closed sets is showed in using mathematical induction;a necessary and sufficient condition has been found in judging whether a fuzzy set is closed or not.
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| 关 键 词： | matroids fuzzy matroids fuzzy closed sets fuzzy hyperplanes |
| 修稿时间： | 2007-02-19 |
Structure of Closed Sets in Fuzzy Matroid |
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| WU De-yin,LIU Zhi-hu,LI Yong-hong. Structure of Closed Sets in Fuzzy Matroid[J]. Storage & Process, 2007, 0(7): 138-143 |
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| Authors: | WU De-yin LIU Zhi-hu LI Yong-hong |
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| Affiliation: | 1. College of Mathematics and Physics, Chongqing University, Chongqing 400030, China ; 2. College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| Abstract: | The authors study the properties and structures of fuzzy closed sets and fuzzy hyperplanes.The relationship between the closed set and it's derived matroid's closed set;The intersection of all hyperplanes in matroids is the smallest closed set and its rank is zero;The intersection of all fuzzy hyperplanes in fuzzy matroids is the smallest closed set and its rank is zero;The characteristics of structures of fuzzy closed sets is showed in using mathematical induction;a necessary and sufficient condition has been found in judging whether a fuzzy set is closed or not. |
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| Keywords: | matroids fuzzy matroids fuzzy closed sets fuzzy hyperplanes |
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