属性权重未知的区间型多属性决策方法  

Interval Multi-attribute Decision Making Method with Unknown Attribute Weights

作　　者：汪伦焰 曹永超 苏丽敏 李慧敏 赵荣生 WANG Lun-yan;CAO Yong-chao;SU Li-min;LI Hui-min;ZHAO Rong-sheng(School of Water Resources,North China University of Water Resources and Electric Power, Zhengzhou450046, China;Water Environment Governance and Ecological Restoration Academician Workstation of Henan Province,Zhengzhou 450002, China;Henan Water Conservancy Investment Water and Soil Resources Development Co. Ltd, Zhengzhou 450003,China;School of Management and Economics, North China University of Water Resources and Electric Power,Zhengzhou 450046, China)

机构地区：[1]华北水利水电大学水利学院,河南郑州450046 [2]河南省水环境治理与生态修复院士工作站,河南郑州450002 [3]河南水投水土资源开发有限公司,河南郑州450003 [4]华北水利水电大学管理与经济学院,河南郑州450046

出　　处：《数学的实践与认识》2019年第14期298-304,共7页Mathematics in Practice and Theory

基　　金：2017年度河南省高校科技创新人才支持计划(2017-CX-023);2018年度河南省水利科技攻关计划项目(GG201828);2016年河南产学研合作项目(162107000050,162107000051);河南省青年骨干教师(2018GGJS080)

摘　　要：针对方案的属性值为区间数并且属性权重完全未知的多属性决策问题,提出了一种新的多属性决策方法.基于联系数理论,首先构建了联系数之间的距离公式;其次引入方案间相对相离度和相对相离度矩阵等概念及其计算公式;然后将区间数属性值转化为联系数表示,利用所提出的概念和公式进行多属性决策,从而得到方案间的优序排列.决策方法直观简单,避免了属性权重的计算.最后给出实例说明了提出的方法具有合理性和有效性.For a multi-attribute decision making problem,in which all attribute values are interval numbers and attribute weights unknown,a multi-attribute decision making method is presented.Based on connection theory,distance formula between connection numbers firstly is constructed.Secondly,the concepts and formulas for relative incidence degree and incidence comparative matrix are introduces.Then,through transforming the interval number into connection number,ranking alternatives is determinated by the concepts and formulas presented in this paper.This method is direct and simple,and avoids calculation of attribute weights.Finally,an example is given to demonstrate the rationality and validity of this decision making method.

关 键 词：区间数 联系数 相对相离度 距离公式 多属性决策 

分 类 号：O225[理学—运筹学与控制论]