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关于左连续蕴涵算子的连续逼近问题 被引量:1

The Convergence of Left Continous Implication Operators
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摘要 从阿基米德型t-范定义的剩余型蕴涵算子是连续的蕴涵算子出发,研究关于左连续的蕴涵算子R0和Go¨del蕴涵算子RG的连续逼近问题,从而进一步为模糊推理寻求理论基础。 In this article, the problem of convergering to left continuous implication operator R0 and RG by a sequence of continous operators is studied based on the relationship between Archimedean ( t -norm) and its residuated implication.
作者 任芳 田俊斌
出处 《模糊系统与数学》 CSCD 2004年第1期81-84,共4页 Fuzzy Systems and Mathematics
关键词 左连续蕴涵算子 连续逼近 阿基米德型t-范 模糊推理 数理逻辑 Archimedean t -Norm Residuated implication Operator Continuous Operator R_0 -(implication R_G -implication)
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同被引文献5

  • 1Jenei S.On archimedean triangular norms[J].Fuzzy Set and Systems, 1998,99:179-186.
  • 2Jenei S,Fodor J.On continuous triangular norms[J].Fuzzy Set and Systems, 1998,100: 273-282.
  • 3Klement E P,Mesiar R,Pap E.Triangular norms[M].Dordrecht: Kluwer Academic Publishers,2000.
  • 4Trillas E,Campo C,Cubillo S.When QM-operators are implication functions and conditional fuzzy relations[J].International Journal of Intelligent Systems,2000, 15:647-655.
  • 5Fodor J,Roubens M.Fuzzy preference modelling and multicriteria decision support[M]//Theory and Decision Library.Dordrecht:Kluwer Academin Publishers, 1994.

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