METHOD FOR OBTAINING SOLUTIONS BASED ON INTERVAL GREY NUMBER AND ENTROPY FOR MULTIPLE-CRITERIA GROUP DECISION MAKING PROBLEMS

摘要

A method for obtaining solutions to make a decision multiple-opinions comprises the steps of (a) creating an n x m opinion decision matrix including language parameters used to evaluate n alternatives made by K decision makers participating in making a decision of the opinion according to m criteria; (b) normalizing an interval gray number corresponding to the language parameters for each opinion decision matrix of each decision maker to find the normalized opinion decision matrix; (c) calculating a weighted value for each criterion based on the variance at each criterion with respect to the normalized opinion decision matrix of each decision maker, and creating the weighted and normalized decision matrix by using the calculated weighted value; (d) deciding a positive ideal solution and a negative ideal solution from the weighted and normalized opinion decision matrix of each decision maker; (e) calculating a gray correlation coefficient with each decision maker by using the positive and negative ideal solutions and the weighted and normalized opinion decision matrix; (f) calculating each gray correlation index from the gray correlation coefficient for each alterative; (g) calculating a group division criterion for each alterative with respect to the gray correlation index of the opinion decision maker; (h) determining a proximity degree based on the group separation criterion for each alternative; and determining a level of the alternatives according to sizes of proximity degrees.