| 连续论域上Fuzzy集的信息熵 |
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| 引用本文： | 仇计清,姜文鹏,周长杰.连续论域上Fuzzy集的信息熵[J].模糊系统与数学,2007,21(1):63-67. |
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| 作者姓名： | 仇计清 姜文鹏 周长杰 |
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| 作者单位： | 河北科技大学,理学院,河北,石家庄,050018 |
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| 基金项目： | 河北省自然科学基金资助项目(603384)，河北省教育厅博士基金资助项目(B200218) |
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| 摘 要： | 在文献1]的基础上,把模糊熵从离散论域推广到连续论域,给出连续论域上Fuzzy集的偏熵、关联熵等概念。对其主要性质进行讨论,取得了一些令人满意的结果。拓宽信息熵的研究领域,对不确定复杂系统的信息处理、知识学习、归纳学习、模糊信息学的进一步研究打下一定基础。
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| 关 键 词： | Fuzzy集 熵 偏熵 关联熵 |
| 文章编号： | 1001-7402（2007）01-0063-05 |
| 收稿时间： | 2005-11-17 |
| 修稿时间： | 2005年11月17 |
Information Entropy of Fuzzy Sets over Continuous Universe of Discourse |
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| QIU Ji-qing,JIANG Wen-peng,ZHOU Chang-jie.Information Entropy of Fuzzy Sets over Continuous Universe of Discourse[J].Fuzzy Systems and Mathematics,2007,21(1):63-67. |
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| Authors: | QIU Ji-qing JIANG Wen-peng ZHOU Chang-jie |
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| Institution: | College of Seienee,Hebei University of Science and Teehnology,Shijiazhuang 050018,China |
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| Abstract: | Based on the paper 1],as the development of the concept of fuzzy entropy from discrete universe of discourse to continuous universe of discourse,partial entropy and relative entropy of fuzzy sets over continuous universe of discourse are given.Then some main properties of them are analyzed respectively,we abain some satisfied results.It developed the research field of information entropy,and settled some foundation for the further research of information processing,knowledge acquisition,inductive learning and fuzzy information of uncertain complex systems. |
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| Keywords: | Fuzzy Set Entropy Partial Entropy Relative Entropy |
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