Consistent Amendment Algorithm for Inconsistent Ordered Decision System
WENG Shi-Zhou1,2, L Yue-Jin3
1.College of Electrical Engineering, Guangxi University, Nanning 530004 2.Economic and Management Department, Guangxi Normal University for Nationalities, Chongzuo 532200 3.School of Mathematics and Information Sciences, Guangxi University, Nanning 530004
Abstract Firstly, the concept of inconsistent degree is proposed to measure the inconsistent degree of the ordered decision system. By using decision information entropy of decision attribute and inconsistent degree as heuristic information, the consistent amendment algorithm is proposed. The decision information entropy is used as the first heuristic information to ensure the reasonable distribution of amendment results as consistent as possible with the distribution of the original data. The inconsistent degree is used as the second heuristic information to make the algorithm converge quickly and the inconsistent degree reduce to zero at a high speed. The feasibility and the effectiveness of the algorithm is demonstrated by examples and the simulation analysis. Finally, by the comparative analyses of the decision rules derived from the original data and the coordination data, the results show that the modified decision rule is more reasonable.
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2015, Vol. 28 
