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  • [外文期刊] Guilong Liu Kai Zhu 《Knowledge-based systems》, ISTIC EI SCI PKU CSSCI 2014 Apr.
    The aim of the paper is to clarify mathematical relationship among three types of rough approximation pairs. We propose subsystem-based definition of generalized rough sets and consider three different...
    Binary relationGeneralized rough setLeft and right relative setsLower and upper approximationsTopology
  • [外文期刊] Guilong Liu 《Knowledge-based systems》, ISTIC EI SCI PKU CSSCI 2010 2
    For two universal sets U and V, we define the concept of solitary set for any binary relation from U to V. Through the solitary sets, we study the further properties that are interesting and valuable i...
    rough setlower and upper approximationsfuzzy setboolean matrixdempster-shafer theory of evidence
  • [外文期刊] Guilong Liu Ying Sai 《International journal of approximate reasoning》, ISTIC EI SCI PKU CSSCI 2009 3
    Rough set theory is an important technique in knowledge discovery in databases. In covering-based rough sets, many types of rough set models were established in recent years. In this paper, we compare ...
    rough setsgeneralized rough setsgranular computingapproximation operatorscoveringstopology
  • [外文期刊] Guilong Liu 《International journal of approximate reasoning》, ISTIC EI SCI PKU CSSCI 2008 3
    Rough set theory is an important tool for approximate reasoning about data. Axiomatic systems of rough sets are significant for using rough set theory in logical reasoning systems. In this paper, outer...
    rough setsfuzzy setsfuzzy rough setslower approximationsupper approximationsaxioms
  • [外文期刊] Guilong Liu 《International journal of cognitive informatics and natural intelligence》, ISTIC EI SCI PKU CSSCI 2010 2
    Rough set theory is an important technique in knowledge discovery in databases. Classical rough set theory proposed by Pawlak is based on equivalence relations, but many interesting and meaningful exte...
    approximationbinary relationcoveringgranular computingrough set
  • [外文期刊] Jingqian Wang William Zhu Fei-Yue Wang Guilong Liu 《International journal of machine learning and cybernetics》, 2014 6
    Coverings are a useful form of data structure, and covering-based rough sets provide an effective tool to cope with this type of data. However, many important problems such as covering reduction in cov...
    CoveringRough setNeighborhood MatroidEulerian matroid
  • [外文期刊] Guilong Liu Wenyi Fei 《International journal of granular computing, rough sets and intelligent systems》, 2013 2
    This paper studies endomorphic structures of rough approximation operators. We present the necessary and sufficient conditions for the rough lower and upper approximation operators to be either lattice...
    binary relationendomorphisminner productlatticerough settopology
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