| 粗糙模糊集的关联熵与关联熵系数 |
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| 引用本文： | 苗夺谦,魏莱,徐菲菲.粗糙模糊集的关联熵与关联熵系数[J].同济大学学报(自然科学版),2007,35(7):970-974. |
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| 作者姓名： | 苗夺谦 魏莱 徐菲菲 |
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| 作者单位： | 同济大学,计算机科学与技术系,上海,201804 |
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| 摘 要： | 在研究模糊集关联熵和关联熵系数的基础上，将关联熵和关联熵系数的概念引入粗糙模糊集，讨论了它们的主要性质，说明关联熵系数可以用于粗糙模糊集之间相似程度的度量．并通过例子证明了粗糙模糊集的关联熵系数比模糊集的关联熵系数更适合用于在分类知识R下模糊集合之间相似程度的比较．
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| 关 键 词： | 粗糙模糊集 偏熵 关联熵 关联熵系数 |
| 文章编号： | 0253-374X（2007）07-0970-05 |
| 修稿时间： | 2005-11-15 |
Relative Entropy and Its Coefficient of Rough Fuzzy Sets |
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| MIAO Duoqian,WEI Lai,XU Feifei.Relative Entropy and Its Coefficient of Rough Fuzzy Sets[J].Journal of Tongji University(Natural Science),2007,35(7):970-974. |
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| Authors: | MIAO Duoqian WEI Lai XU Feifei |
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| Institution: | Department of Computer Science and Technology, Tongji University, Shanghai 201804, China |
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| Abstract: | The concept of relative entropy and its coefficient are introduced into rough fuzzy sets on the basis of the research of them in fuzzy sets. The main properties of them are also analyzed, and the reasons for the relative entropy coefficient capable of being used in compuing the similarity of rough fuzzy sets are presented. It is concluded with an illustration that the relative entropy coefficient is more suitable to be used in clustering of fuzzy sets on certain knowledge condition. |
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| Keywords: | rough fuzzy sets partial entropy relative entropy relative entropy coefficient |
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