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基于剩余格L模糊粗糙近似算子公理集的极简化 被引量:2

Simplest formula of axiomatic set of L-fuzzy rough approximation operator based on residuated lattice
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摘要 公理化方法是粗糙集理论研究的重要组成部分,利用公理化方法定义了基于剩余格的L模糊粗糙近似算子,并给出了描述L模糊粗糙近似算子公理集的极简形式。 Axiomatic characterization of approximation operators is an important aspect in the study of rough set theory.This pa- per defines L-fuzzy rough approximation operator based on residuated lattice in axiomatic approach,and presents the simplest formulas of the axiom sets charactering the L-fuzzy rough approximation operators.
出处 《计算机工程与应用》 CSCD 北大核心 2008年第36期32-33,167,共3页 Computer Engineering and Applications
基金 国家自然科学基金(No.60875034 No.60873108) 高等院校博士学科点专项科研基金(No.20060613007)~~
关键词 粗糙集 公理化方法 剩余格 rough set axiomatic approach residuated lattice
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参考文献7

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同被引文献12

  • 1Rodriguez R O,Esteva F,Garcia P,et al.On implicative closure operators in approximate reasoning[J].International Journal of Approximate Reasoning, 2003 ( 33 ) : 159-184.
  • 2Belohlavek R.Fuzzy closure operators[J].Journal of Mathematical Analysis and Applications,2001(262):473-489.
  • 3Belohlavek R.Fuzzy closure operators II:Induced relations,representation and examples[J].Soft Computing,2002(7):53-64.
  • 4Rodriguez R O, Esteva F, Garcia P, et al.On implicative closure operators in approximate reasoning[J].International Journal of Approximate Reasoning, 2003,33 : 159-184.
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  • 7吴洪博.推理闭包算子及其诱导的空间[J].西北大学学报(自然科学版),2008,38(1):9-13. 被引量:20
  • 8张小红,魏萍.DR_0代数:由De Morgan代数导出的正则剩余格[J].数学进展,2008,37(4):499-511. 被引量:11
  • 9乔全喜,秦克云.粗糙集代数与BL代数[J].计算机工程与应用,2008,44(33):46-47. 被引量:11
  • 10于海,詹婉荣.完备剩余格上的蕴涵闭包算子[J].计算机工程与应用,2010,46(28):49-50. 被引量:3

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