LIAN Qiang.The Synthetic Spearman Rank Correlation Coefficient of Interval Numbers and Its Application[J].Journal of Chongqing Technology and Business University(Natural Science Edition）,2020,37(6):71-75

The Synthetic Spearman Rank Correlation Coefficient of Interval Numbers and Its Application

DOI：

 作者 单位 连强 郑州市财贸学校 会计系，郑州 450015

针对属性值为区间数，属性权重完全未知的区间多属性决策问题，提出了一种综合考虑方案与正理想、负理想方案之间的Spearman秩相关系数的决策方法。分析了相关文献中仅考虑方案到正理想方案的Spearman秩相关系数的局限性，在逼近理想点方法(TOPSIS)的启发下，定义了方案与负理想方案的Spearman秩相关系数；然后，在方案与正负理想方案Spearman秩相关系数的基础上，定义了方案的综合Spearman秩相关系数，并证明了其相关性质；最后，提出了基于综合区间数Spearman秩相关系数的多属性决策方法，并通过一个高校二级院系财务管理评价的实例，验证了所提出方法的是可行和有效的。

For the multi attribute decision making in which the attribute values are interval numbers, and the attribute weights are unknown, we propose a decision making method based on the Spearman rank correlation coefficient between the alternative and the positive, negative ideal alternatives. First, we analyze the limitation of the Spearman rank correlation coefficient between the alternative and the positive ideal alternative. Then, inspired by the TOPSIS method, we define the Spearman rank correlation coefficient between the alternative and the negative ideal alternative. On the basis of the Spearman rank correlation coefficient between the alternative and the positive, negative ideal alternatives, we propose the synthetic Spearman rank correlation coefficient of interval numbers for alternative, and discuss their some properties. Finally, a multiple attribute decision making method based on the synthetic Spearman rank correlation coefficient of interval numbers is proposed, and an example about the evaluation on financial management of subordinate colleges in a university is used to illustrate the feasibility and effectiveness of the proposed method.