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基于双参照点的区间型多属性决策方法研究
引用本文:黄灏然,刘阳,方凯.基于双参照点的区间型多属性决策方法研究[J].运筹与管理,2022,31(9):63-68.
作者姓名:黄灏然  刘阳  方凯
作者单位:仲恺农业工程学院 经贸学院,广东 广州 510225
基金项目:广东省自然科学基金项目(2018A030313317);广州市人文社会科学重点研究基地(粤港澳大湾区农产品流通研究中心)成果
摘    要:文章针对属性值为区间数、权重完全未知的多属性决策问题,提出一种基于双参照点的多属性决策方法。首先,描述了双参照点决策问题的广泛性,分析了双参照点的特征及其对决策行为的影响;接着,通过损益值和态度值来计算效用值,并将效用值用于判断备选策略的可行性;再接着,给出基于损益值的赋权法;然后,利用区间TOPSIS法对效用值进行集结和策略排序;最后,通过一个实例证明本文所提出的决策方法的科学性。

关 键 词:双参照点  损失规避  区间数  损益值  效用值  
收稿时间:2020-04-23

A Method of Multi-attribute Decision Making with Intervals Based on Double-reference Points
HUANG Hao-ran,Liu Yang,FANG Kai.A Method of Multi-attribute Decision Making with Intervals Based on Double-reference Points[J].Operations Research and Management Science,2022,31(9):63-68.
Authors:HUANG Hao-ran  Liu Yang  FANG Kai
Affiliation:College of Economy and Trade, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, China
Abstract:To better solve the MADM problem with interval numbers and without weight information, a MADM method based on double reference points (DRPs) is proposed. At first, it describes universality of decision making problems with DRPs, and analyzes characteristics of DRPs and its influence on decision making. Secondly, the utility value is calculated by loss/gain value and attitude value, and used to judge the feasibility of alternatives. Thirdly, the attribute weighting method based on loss/gain values is given. Then, the interval TOPSIS is used to aggregate utility values and rank alternatives. At last, an example is given to prove the scientific of the proposed decision making method.
Keywords:double reference points  loss aversion  interval number  loss/gain value  utility value  
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