ExpertWeight Determination Method Based on Dispersion and Correlation Degree and Its Application
In this paper,an expert weight determination method based on decision expert evaluation dispersion and consensus correlation is given for the multi-attribute group decision problem with unknown decision expert weights,and the prioritization of alternatives for the multi-attribute group decision problem is given based on the probabilistic linguistic decision matrix of expert weights.First,the probabilistic linguistic information entropy is given based on the basic operation of the probabilistic linguistic term set,and further the probabilistic linguistic term information expecta-tion is defined based on the probabilistic linguistic term set score function;then,the dispersion of decision experts'evaluation information is fuly considered,and the gray correlation analysis is applied to calculate the decision experts'consensus association degree,and an expert weight determination method based on the evaluation dispersion and consensus association degree is given;finally,the approximation Finally,an approximation solution ranking meth-od is applied to calculate the probabilistic linguistic decision matrix of the expert weights,and the priority ranking of the alternatives is given according to the results of the comprehensive evaluation index ranking of the alternatives,and the feasibility and effectiveness of the method are verified by an arithmetic example.
group decision makingprobabilistic linguistic term setsexpert weightsevaluation dispersionconsensus rele-vance