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S-粗集的副集α-生成与α-生成定理 被引量:18

α-Generation and α-generation theorem of assistant sets of S-rough sets
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摘要 给出了S 粗集的副集α 生成 ,副集的集 -生成概念 ;给出了副集α 生成特性 ,副集的集 -生成特性 ;提出了副集的α 生成定理 ,副集的集 -生成定理 ;给出了S 粗集的属性非空原理 ,S 粗集的属性基数原理 . The concept of assistant sets α-generation and assistant sets set-generation is presented. Assistant sets α-generation characteristics, assistant sets set-generation characteristics, assistant sets α-generation theorem are also put forward and assistant sets set-generation theorem are also put forword. The following principles are obtained: nonempty principle of attribute sets of S-rough sets and characteristic cardinal number principle of S-rough sets.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2004年第1期9-14,共6页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目 ( 70 2 71 0 48) 山东省自然科学基金资助项目 (Y2 0 0 1G0 7)
关键词 S-粗集 副集 α-生成 α-生成定理 集-生成 集-生成定理 属性非空原理 属性基数原理 S-rough sets assistant sets α-generation α-generation theorem set-generation set-generation theorem nonempty principle of attribute sets characteristic cardinal number principle
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  • 1Kaiquan Shi.S-rough sets and its application in diagnosis-recognition for diseases[C].In:IEEE Proceedings of the First International Conference on Machine Learning and Cybernetics, Volume 1 of 4, 2002,02EX583 : 50-54.
  • 2Kaiquan Shi,Ting-cheng Chang.One direction S-rough sets[Jl.Inter- national Journal of Fuzzy Mathematics, 2003 ; 11 (2) : 525-543.
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  • 6史开泉,崔玉泉.S-粗集和它的一般结构[J].山东大学学报(理学版),2002,37(6):471-474. 被引量:174

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