| 基于等价类的Rough集模糊化子系统 |
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| 引用本文： | 周军,张庆灵,陈文实.基于等价类的Rough集模糊化子系统[J].东北大学学报(自然科学版),2004,25(8):731-733. |
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| 作者姓名： | 周军 张庆灵 陈文实 |
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| 作者单位： | 东北大学,理学院,辽宁,沈阳,110004;辽宁工学院,计算机学院,辽宁,锦州,121001 |
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| 基金项目： | 辽宁省优秀青年骨干教师基金，辽宁省教育厅资助项目 |
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| 摘 要： | 从系统的角度,讨论了给定信息系统上的所有Rough集模糊化所形成的模糊集类的相关性质,并证明了它是相应论域上的模糊集系统的子系统·但它却是一类特殊的模糊集子系统,在这个子系统中一般的不满足运算传递性质·为进一步研究Rough集与模糊集这两种不确定性的理论之间的关系,并将它们有机结合起来提供了理论依据·
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| 关 键 词： | Rough集 模糊集 模糊子系统 等价类 模糊集类 |
| 文章编号： | 1005-3026(2004)08-0731-03 |
| 修稿时间： | 2003年10月16 |
Subsystem of Fuzzed Rough Sets Based on the Equivalence Classes |
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| ZHOU Jun,ZHANG Qing-ling,CHEN Wen-Shi.Subsystem of Fuzzed Rough Sets Based on the Equivalence Classes[J].Journal of Northeastern University(Natural Science),2004,25(8):731-733. |
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| Authors: | ZHOU Jun ZHANG Qing-ling CHEN Wen-Shi |
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| Institution: | ZHOU Jun~1,ZHANG Qing-ling~1,CHEN Wen-Shi~2 |
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| Abstract: | From the angle of the system, some properties about the class of fuzzy sets formed by rough sets being fuzzed by using the equivalence relation for given information system are discussed. It is proved that the class of fuzzy sets is the subsystem of the fuzzy system on the related universe of discourse. But this subsystem is a class special subsystem of fuzzy system. The transferable operation doesn't hold in this subsystem. The results supply some basic theories for how to research the relations between rough sets and fuzzy sets. |
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| Keywords: | rough set fuzzy set fuzzy subsystem equivalence class fuzzy set class |
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