基于双相关系数的区间值多属性决策及其应用  

Interval Valued Multi-attribute Decision Making Based on Double Correlation Coefficient and Its Application

作　　者：杜迎雪[1] 何霞[1] DU Yingxue;HE Xia(School of Mathemaycc Zhagzhou University of Aeronauticc Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450046

出　　处：《郑州航空工业管理学院学报》2020年第2期56-62,共7页Journal of Zhengzhou University of Aeronautics

基　　金：河南省高等学校重点科研项目(20A110035);郑州航空工业管理学院青年科研基金项目(2016113003)。

摘　　要：在模糊集相关系数的启发下,本文给出区间值集相关系数的概念,并研究其性质;然后,结合TOPSIS方法思想,我们提出了区间值多属性决策的一种新方法--双相关系数法。在区间值多属性决策应用中,可以通过计算决策方案与正负理想点之间的双相关系数实现方案的排序择优。Inspired by the correlation coefficient of fuzzy sets,this paper gives the concept of correlation coefficient of interval valued sets and studies its properties.Then,combined with TOPSIS method,we propose a new method of interval valued multi-attribute decision-making--double correlation coefficient method.In the application of interval valued multi-attribute decision-making,the scheme can be realized by calculating the double correlation coefficient between the decision-making scheme and the positive and negative ideal points Finally,the effectiveness and practicability of the method are verified by an example.

关 键 词：区间值 相关系数 模糊集 多属性决策 

分 类 号：O159[理学—数学]