JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (08): 33-39.doi: 10.6040/j.issn.1671-9352.1.2014.115

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The inconsistent degree of an inconsistent decision table

YAO Xiao-lin, MI Ju-sheng, LING Mi-ran   

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, Hebei, China
  • Received:2014-06-02 Revised:2014-07-08 Published:2014-09-24

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Abstract: The definition of inconsistent decision rule pairs is proposed in an inconsistent decision information system with inconsistent decision rules. It is relatively complicated by using discernibility matrix to extract inconsistent decision rule pairs from inconsistent decision table with many objects or attributes. Inclusion degree is used to screen the equivalence classes which can produce inconsistent decision rule pairs, then discernibility matrix is employed to extract inconsistent decision rule pairs, thus calculating the number. The number can be also calculated by the component of generalized decision function directly. And then the inconsistent degree of an inconsistent decision table is computed. Finally, the relationship of inconsistent degree between original inconsistent decision table and reduced inconsistent decision table is studied.

Key words: inconsistent decision table, discernibility matrix, generalized decision function, decision rule, inclusion degree

CLC Number: 

  • O236
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