Abstract: The main work of this paper is to solve multi-attribute decision making problems through the evaluation model on social network analysis. First, we build the relational matrix of single index based on the index data of all the evaluation objects. And then, we add all the relational matrix of single index to get the total-relational matrix. Finally, we calculate the centrality of the total-relational matrix, and determine the results and the orders of the evaluation by the centrality. The paper analyzes the development of human all-round development of Liaoning. The empirical process verifies the validity of the evaluation model. Because the social network analysis can determine the relationship of the elements, the main innovation and contribution is that we can Construct relational matrix based on the index data, reflecting the size relationship of the index data. When we do not need to calculate the index weights and index scores, we can calculate the centrality of the total- relational matrix, determine the results and the orders of the evaluation by the centrality, and sloue the problem of multi-attribute decision-making.

Key words: multi-attribute decision making, social network analysis, relational matrix, evaluation model

摘要： 本文的主要工作是通过社会网络分析法构建评价模型解决多属性决策问题。首先,根据评价对象的指标数据信息构造单个评价指标的关系矩阵;然后,将所有单个指标的关系矩阵进行合成,构造综合所有评价指标数据信息的总关系矩阵;最后,利用总关系矩阵计算评价对象的中心性,并根据中心性大小确定评价对象的评价结果和排序。本文还以辽宁省人的全面发展评价为例进行了实证,实证过程验证了评价模型的有效性。本文的主要创新与特色是利用社会网络分析可以确定元素之间关系的特点,通过评价指标的数据构造评价指标的关系矩阵,反映了指标数据的大小关系,在不需要计算指标权重和指标打分的情况下,通过对总关系矩阵的中心性分析确定出评价对象的排序关系,解决了多属性决策问题。

关键词: 多属性决策, 社会网络分析, 关系矩阵, 评价模型