METHOD FOR OBTAINING SOLUTIONS BASED ON WEIGHTING ANALYTIC HIERARCHY PROCESS, GREY NUMBER AND ENTROPY FOR MULTIPLE-CRITERIA GROUP DECISION MAKING PROBLEMS

摘要

According to an embodiment of the present invention, a method for deriving a solution of a multiple decision making problem comprises the following steps: generating, by the K number of decision makers participating in decision making, a decision making matrix consisting of linguistic variables which evaluate the n number of alternatives in accordance with the m number of references by each decision maker; obtaining normalized decision making matrixes; operating weight values for each reference based on an entropy in each reference; generating relative weight values which are operated based on each column value of a determination matrix which is generated by calculating relative importance for other reference of any one reference; operating normalized comprehensive weight values which multiply the weight values of each reference and the relative weight values of each reference, and generating a weighting normalized grey decision making matrix by using the operated comprehensive weight values and a normalized grey decision making matrix; generating a grey correlation coefficient and a grey correlation index, and operating a group separation measure by using a positive ideal solution, a negative ideal solution, and the weighting normalized decision making matrix; and determining rankings of the alternatives in accordance with a size order of relative proximities determined based on the group separation measure.