Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (36): 32-33.DOI: 10.3778/j.issn.1002-8331.2008.36.008

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Simplest formula of axiomatic set of L-fuzzy rough approximation operator based on residuated lattice

WU Zheng-jiang1,2,QIN Ke-yun3   

  1. 1.Intelligent Control Development Center,Southwest Jiaotong University,Chengdu 610031,China
    2.School of Science,Henan University of Science and Technology,Luoyang,Henan 471003,China
    3.School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,China
  • Received:2008-09-23 Revised:2008-10-30 Online:2008-12-21 Published:2008-12-21
  • Contact: WU Zheng-jiang



  1. 1.西南交通大学 智能控制开发中心,成都 610031
    2.河南科技大学 理学院,河南 洛阳 471003
    3.西南交通大学 数学系,成都 610031
  • 通讯作者: 吴正江

Abstract: Axiomatic characterization of approximation operators is an important aspect in the study of rough set theory.This paper 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.

Key words: rough set, axiomatic approach, residuated lattice

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。

关键词: 粗糙集, 公理化方法, 剩余格