Computer Science ›› 2018, Vol. 45 ›› Issue (10): 21-26.doi: 10.11896/j.issn.1002-137X.2018.10.004

• CGCKD 2018 • Previous Articles     Next Articles

Rules Acquisition on Three-way Class Contexts

REN Rui-si1, WEI Ling1, QI Jian-jun2   

  1. School of Mathematics,Northwest University,Xi’an 710127,China 1
    School of Computer Science & Technology,Xidian University,Xi’an 710071,China 2
  • Received:2018-04-17 Online:2018-11-05 Published:2018-11-05

Abstract: Rules acquisition is an important problem in three-way concept analysis.Based on attribute-induced three-way concepts,two kinds of three-way class contexts were defined,namely three-way condition class contexts and three-way decision class contexts.The class concepts in these two different three-way class contexts were defined and the structures of class concepts were studied.Moreover,the relationships between the class concepts in three-way decision class contexts and the attribute-induced three-way concepts in three-way weakly consistent formal decision contexts were discussed.Then the rules based on three-way decision class concepts were presented,and the way to acquire them was shown.Furthermore,compared to the rules acquired from the three-way weakly consistent formal decision contexts,the class context based rules were proved to be superior than three-way weakly consistent context based rules.Specifically,the number of class context based rules is smaller than the number of three-way weakly consistent context based rules,but for each three-way weakly consistent context based rule,there exists a class context based rule containing more know-ledge.Finally,considering the three-way condition class context,the reverse rules were defined.Considering both three-way condition class contexts and three-way decision class contexts,the double directed rules were presented.

Key words: Attribute-induced three-way concept, Rules acquisition, Three-way condition class context, Three-way decision class context, Three-way weakly consistent formal decision context

CLC Number: 

  • O29
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