摘要
针对特征属性为区间数、属性权重完全未知的多准则决策问题,基于概率优势关系理论,提出一种新的决策方法.给出了区间数与优势关系的基本原理,定义了相对优势度,采用概率优势关系表征区间数属性,通过构建评价矩阵,将决策方案排序问题转换为矩阵运算过程,实现了不同候选方案的优劣排序.实例分析表明,该方法能够充分利用区间数信息,有效克服传统决策方法的局限,具有排序客观合理,决策精度高等优点.
To solve the problem of uncertain multi-criteria decision-making in which the characteristic attribute is interval number and the attribute weight is completely unknown,a new decision method was proposed based on theories of probability superiority relationship.The basic principle for relationship between interval number and superiority was given,the degree of comparative advantage was defined,and the attribute of interval number was represented by the probability superiority relationship.By constructing evaluation matrix,the problem of ordering decision plans was converted into a matrix operation process.The ranking of different candidate schemes has been realized.An analysis of the example shows that the method can make full use of interval number information,overcome the limitation of traditional decision-making methods effectively,and have advantages of objective and reasonable ordering and high decision precision.
作者
汪凌
WANG Ling(School of Economic and Management,East China Jiaotong University,Nanchang 330013,China)
基金
安徽省高校优秀人才重点支持计划项目(gxyqzd2016200)
工业安全与应急技术安徽省重点实验室开放基金(ISET201802)
合肥工业大学“双一流提升自主创新和社会服务能力”经费(45000-411104/009)资助
关键词
多准则决策
相对优势度
概率优势关系
权重
区间数
multi-criteria decision-making
degree of comparative superiority
probability superiority relationship
weight
interval number