JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 101-110.doi: 10.6040/j.issn.1671-9352.0.2016.384

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Three-way rules extraction in formal decision contexts with confidence

LIU Lin1, WEI Ling1*, QIAN Ting2   

  1. 1. School of Mathematics, Northwest University, Xian 710127, Shaanxi, China;
    2. College of Science, Xian Shiyou University, Xian 710065, Shaanxi, China
  • Received:2016-08-01 Online:2017-02-20 Published:2017-01-18

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Abstract: A method of rules extraction based on the three-way concept lattice in inconsistent three-way formal decision context is put forward. Firstly, the confidence of rules is defined and the probability-distribution is given. And an example is used to demonstrate its feasibility and effectiveness in decision-making. Then several properties of irredundant three-way rules are presented in three-way consistent formal decision context. Finally, using of confidence the necessary and sufficient condition of irredundant rules is discussed in attribute-induced three-way consistent formal decision context.

Key words: confidence, three-way concept lattices, formal decision context, rules extraction

CLC Number: 

  • O29
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