作　　者： (岳立柱）; (李良琼）;

机构地区： 辽宁工程技术大学公共管理与法学院,辽宁阜新123000 辽宁工程技术大学阜新转型创新发展研究院,辽宁阜新123000

出　　处： 《模糊系统与数学》 2017年第4期167-174,共8页

摘　　要： 当权重难以获得时,应用TOPSIS模型会遇到困难.为此,提出应用偏序集表示TOPSIS模型,不仅实现TOPSIS模型的排序功能,还能提高排序的稳健性.首先,对偏序集决策方法进行简要介绍,之后根据权重大小排序信息,证明了偏序集排序与TOPSIS模型排序是保序的,可以应用偏序集方法表示TOPSIS模型.最后,通过例子可以看出,该方法易于操作、排序稳定,不需具体权重同样可以应用TOPSIS模型进行决策分析. When weights is difficult to obtain, the application of TOPSIS model will encounter difficulties. This paper presented that to use poset express TOPSIS Model, which can achieve sorting of TOPSIS model only with the information of weights order, and enhance the robustness of the sort. First, this paper introduced posets decision methods briefly, giving the poser expression of evaluation set model; then, to respectively express TOPSIS evaluation model as two sets according to the positive and negative rational distance. It showed that sorting of poser and sorting of TOPSIS model can guarantee the same order according to sort of weights information, so it can apply poset method to express TOPSIS model. Finally, with an example ,it can be seen that： this method is easy to operate, sort steadily,and solves the problem that it can not apply TOPSIS Model without weights.

关 键 词： 多准则决策 偏序集 权重