Method for Triangular Fuzzy Multiple Attribute Decision Making Based on Two-Dimensional Density Operator Method

Aiming at the triangular fuzzy(TF)multi-attribute deci-sion making(MADM)problem with a preference for the distribu-tion density of attribute(DDA),a decision making method with TF number two-dimensional density(TFTD)operator is pro-posed based on the density operator theory for the decision maker(DM).Firstly,a simple TF vector clustering method is pro-posed,which considers the feature of TF number and the geo-metric distance of vectors.Secondly,the least deviation sum of squares method is used in the program model to obtain the den-sity weight vector.Then,two TFTD operators are defined,and the MADM method based on the TFTD operator is proposed.Finally,a numerical example is given to illustrate the superiority of this method,which can not only solve the TF MADM problem with a preference for the DDA but also help the DM make an overall comparison.