摘要
针对直接区间数多指标决策排序问题中存在无法比较中心数相同的区间数的缺陷,文章对区间数理想解法进行改进.同时,现有的区间数理想解法主要侧重于静态评价,为比较多个系统在不同时刻的总体发展水平,结合改进的区间数理想解法,文章提出了改进区间数动态TOPSIS评价方法.首先讨论了将具有不确定性的区间数应用于TOPSIS的问题,把TOPSIS的研究拓展到属性值为区间数的模糊多指标决策.接着分析直接区间数TOPSIS法的不足,对其进行改进并通过几个简单算例验证该方法的有效性.然后考虑时间维度构建区间数动态评价模型,计算正负理想解矩阵以及各方案在区间数指标值差异程度和增长程度情况下的综合评价值.再通过时间权重将各时间段的评价值进行二次加权计算得出各方案的综合评价结果.最后,将该方法应用于实例中,以验证方法的合理性.
In order to solve the problem that the direct interval extension of TOPSIS method with the same center number can’t be compared,the interval extensions of TOPSIS method in this article is improved.At the same time,the existing TOPSIS method on interval numbers mainly focuses on static evaluation,combined with improved interval extensions of TOPSIS method,improved dynamic TOPSIS evaluation method of interval numbers is proposed in this paper.First,the problem of applying uncertain interval numbers to TOPSIS is discussed.The research of TOPSIS method is extended to fuzzy multi-attribute decision-making whose attribute value is interval number.Then the shortcomings of a direct interval extension of TOPSIS method are analyzed,and the effectiveness of the method is verified by several simple examples.Additionally,the evaluation value of each time period is aggregated by the time weights,and the comprehensive evaluation results of each scheme are obtained.Finally,an example is applied to verify the rationality of the proposed method.
作者
李美娟
潘瑜昕
徐林明
卢锦呈
LI Meijuan;PAN Yuxin;XU Linming;LU Jincheng(School of Economics and Management,Fuzhou University,Fuzhou 350108;Funding for Research Center of Fujian Economic High Quality Development Based on Social Science Planning of Fujian Province in China,Fuzhou 350108;School of Management,Fujian University of Technology,Fuzhou 350118)
出处
《系统科学与数学》
CSCD
北大核心
2021年第7期1891-1904,共14页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金项目(71872047)
福建省社会科学规划项目(FJ2019B086,FJ2020B024)
福建省创新战略研究计划项目(2020R0021)
福建省百千万人才工程省级人选
福建省高校领军人才资助课题
关键词
理想解法
区间数
动态评价方法
多属性决策方法
TOPSIS
interval number
dynamic comprehensive evaluation
multi-attribute decision making
