Method for triangular fuzzy multiple attribute decision making based on two-dimensional density operator method  

作　　者：LIN Youliang LI Wu LIU Gang HUANG Dong 

机构地区：[1]School of Economics and Management,Hunan Institute of Science and Technology,Yueyang 414000,China [2]Hunan Vocational College for Nationalities,Yueyang 414000,China [3]School of Information Science and Engineering,Hunan Institute of Science and Technology,Yueyang 414000,China

出　　处：《Journal of Systems Engineering and Electronics》2024年第1期178-185,共8页系统工程与电子技术（英文版）

基　　金：supported by the Natural Science Foundation of Hunan Province(2023JJ50047,2023JJ40306);the Research Foundation of Education Bureau of Hunan Province(23A0494,20B260);the Key R&D Projects of Hunan Province(2019SK2331)。

摘　　要：Aiming at the triangular fuzzy(TF)multi-attribute decision making(MADM)problem with a preference for the distribution density of attribute(DDA),a decision making method with TF number two-dimensional density(TFTD)operator is proposed based on the density operator theory for the decision maker(DM).Firstly,a simple TF vector clustering method is proposed,which considers the feature of TF number and the geometric distance of vectors.Secondly,the least deviation sum of squares method is used in the program model to obtain the density 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.

关 键 词：fuzzy decision making CLUSTERING density operator multi-attribute decision making(MADM) 

分 类 号：O159[理学—数学] O225[理学—基础数学]