不协调决策表的不协调度

doi:10.6040/j.issn.1671-9352.1.2014.115

山东大学学报（理学版） ›› 2014, Vol. 49 ›› Issue (08): 33-39.doi: 10.6040/j.issn.1671-9352.1.2014.115

不协调决策表的不协调度

姚晓林, 米据生, 凌密然

河北师范大学数学与信息科学学院, 河北石家庄 050024

收稿日期:2014-06-02 修回日期:2014-07-08 发布日期:2014-09-24
通讯作者: 米据生（1966-），男，教授，研究方向为粗糙集与概念格、人工智能等.E-mail：mijsh@263.net E-mail:mijsh@263.net
作者简介:姚晓林（1988-），女，硕士研究生，研究方向为人工智能的数学基础.E-mail：yaoxiaolin1230@163.com
基金资助:
国家自然科学基金资助项目（61170107，61300121，61300153）；河北省高校创新团队领军人才培育计划项目（LJRC022）

The inconsistent degree of an inconsistent decision table

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

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

摘要/Abstract

摘要： 针对不协调决策信息系统中的不协调决策规则，定义了不协调决策规则对。对于属性或对象较多的不协调决策表，用辨识矩阵提取不协调决策规则对较为繁琐。首先利用包含度筛选含有不协调决策规则对的等价类，然后由辨识矩阵提取不协调决策规则对，并计算其数目。也可以根据广义决策分布函数的分量直接计算不协调决策规则对的数目。进而计算出不协调决策表的不协调度。最后研究约简前后不协调决策表的不协调度之间的关系。

关键词: 包含度, 广义决策分布函数, 不协调决策表, 决策规则, 辨识矩阵

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

中图分类号:

O236

姚晓林, 米据生, 凌密然. 不协调决策表的不协调度[J]. 山东大学学报（理学版）, 2014, 49(08): 33-39.

YAO Xiao-lin, MI Ju-sheng, LING Mi-ran. The inconsistent degree of an inconsistent decision table[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(08): 33-39.

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不协调决策表的不协调度

The inconsistent degree of an inconsistent decision table

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