Method of Stochastic Multi-attribute Decision-making Based on Grey Matriz Relational Analysis and Its Application
In this paper, a method based on grey matrix relational analysis is proposed for SMADM problem with incomplete information on attribute’s weights and attribute values in terms of random variables which obey normal distribution. Firstly, on the basis of analyzing the related property of normal distribution, we give an index-preference probability matrix to distinguish different alternatives. A single objective programming model which is based on the deviation maximization theory among attributes is developed to determine the optimal weight vector. Secondly, according to grey matrix relational degree, we rank alternatives and get the complete order. Finally, a practical example is provided to show the feasibility and validity of this method. It provides a new decision method for the SMADM problem.
Chunwang Ruan Xinping Xiao
School of Sciences, Wuhan University of Technology Wuhan 430063, China
国际会议
2009 IEEE International Conference on Grey System and Intelligent Services(2009 IEEE灰色系统与服务科学国际会议)
南京
英文
1601-1606
2009-10-20（万方平台首次上网日期，不代表论文的发表时间）