不同信任结构下约简的证据特征及其一致性

doi:10.16451/j.cnki.issn1003-6059.201806010

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Abstract

In the inconsistent decision table, the generalized decision reduction is not fully consistent with the relative reduction. The definitions of generalized decision reduction and the relative reduction are given in both partition-based and covering-based belief structures respectively. Then, the evidence structure characteristic of the two reduction methods are intensively studied. The results show that the generalized decision reduction set is the minimal attribute set maintaining the sum of the plausibility functions of the generalized decision unchanged, while the relative reduction set is the minimal attribute set maintaining the sum of the belief functions of the generalized decision unchanged. On the basis of those, the generalized belief reduction is defined in partition-based and covering-based belief structures, respectively. The consistency among generalized decision reduction, generalized belief reduction and relative reduction are further analyzed. The results verify that the generalized decision reduction set must be a relative consistent reduction set and the generalized decision reduction is equivalent to the generalized belief reduction. It is proved that the generalized decision reduction of a given decision table must be its relative coordination set, and the core set of the relative reduction is included in the generalized decision reduction. The necessary and sufficient condition that the generalized reduction is identical with the relative reduction is given in two different belief structures respectively.

Received: 11 December 2017

ZTFLH:

TP 242

Fund:

Supported by National Natural Science Foundation of China(No.61173052), Funds for Energy Conservation of Chang-sha(No.Changsha Government Finance[2017]39#), Fundamental Research Funds for Central Universities of Central South University(No.2017zzts514)

About author:: (ZHENG Na, master student. Her research interests include data mining and intelligent information fusion.)(WANG Jiayang(Corresponding author), Ph.D., professor. His research interests include data mining, intelligent information fusion and granular computing.)

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Cite this article:

ZHENG Na,WANG Jiayang. Evidence Characteristic and Consistency of Attribute Reduction in Different Belief Structures[J]. , 2018, 31(6): 569-580.

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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201806010 OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2018/V31/I6/569