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概念粒计算系统的数学模型 被引量：20

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摘要 文中在两个完备格之间引入了外延内涵算子与内涵外延算子,构建了概念粒计算系统,证明了由该系统生成的全体概念集合是具有最大元与最小元的格.此概念粒计算系统不仅包括了由形式背景形成的概念格以及由L模糊形式背景形成的L模糊概念格,也包括了3种变精度概念格,即概念的外延与内涵分别为经典集与经典集、经典集与模糊集、模糊集与经典集.最后在概念粒计算系统中,给出了概念粒迭代计算方法,并证明了它在某种意义下的最优性.
作者 仇国芳 马建敏 杨宏志 张文修
机构地区 西安建筑科技大学管理学院 长安大学理学院 西安交通大学理学院
出处 《中国科学（F辑:信息科学）》 CSCD 2009年第12期1239-1247,共9页
基金 国家自然科学基金(批准号:60703117 60673096) 陕西省教育厅科研项目(批准号:08JK089)资助项目
关键词 概念格 形式概念分析 粒计算 数学模型
分类号 TP301 [自动化与计算机技术—计算机系统结构]
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参考文献26

  • 1ZHANG Wenxiu,WEI Ling,QI Jianjun.Attribute reduction theory and approach to concept lattice[J].Science in China(Series F),2005,48(6):713-726. 被引量：73
  • 2Lin T Y.Granular computing on binary relations I:data mining and neighborhood systems. Rough Sets in Knowledge Discovery . 1998
  • 3Yao Y Y,Chen Y.Rough set approximations in formal concept analysis. Proceedings of 2004 Annual Meeting of the North American Fuzzy Information Processing Society . 2004
  • 4Belohlavek R.A note on variable threshold concept lattices:threshold-based operators are reducible to classical conceptforming operators. Journal of Information Science . 2007
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  • 6Zadeh LA.Fuzzy sets and information granularity. Advances in Fuzzy Set Theory and Applications . 1979
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  • 9Wille R.Concept lattices and conceptual knowledge systems. Computers and Mathematics With Applications . 1992
  • 10Yao Y Y.Information granulation and rough set approximation. International Journal of Intelligent Systems . 2001

二级参考文献19

  • 1[1]Wille, R., Restructuring lattice theory: an approach based on hierarchies of concepts, in Ordered Sets (ed. Rival, I.), Dordrecht-Boston: Reidel, 1982, 445-470.
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共引文献72

同被引文献205

引证文献20

二级引证文献153

中国科学（F辑:信息科学）
2009年 第12期

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