摘要
随机多属性决策能够有效刻画指标赋值的不确定性,与此同时模型计算的复杂度明显增加。由于方案在指标上的取值为随机变量,任意指标上的方案比较实质为偏序关系而非全序关系的比较。在随机占优关系偏序表达的基础上,得到每个指标对应的Hasse图,之后根据属性权重顺序得到综合Hasse图,进而完成方案的比较与排序。结果表明:随机占优多属性决策结果对应偏序集的Hasse图。Hasse图表达的结果直观且稳健程度高。若能得到方案在各指标上的偏序关系,无需具体数据,便可实现方案的比较,拓展了传统方法的应用范围。实例分析展示了该方法的操作要点和独特之处。
Stochastic multi-attribute decision making can effectively describe the uncertainty of index assignment,while the complexity of model calculation increases significantly.Since the value of the scheme on the index is a random variable,the scheme comparison on any index is in essence a postorder relation rather than a full order relation comparison.Based on the fitting order expression of random dominance relation,the Hasse graph corresponding to each index was obtained,and then the comprehensive Hasse graph was obtained according to the order of attribute weight,so as to complete the comparison and ranking of schemes.The results show that the results of randomly dominant multi-attribute decision making correspond to Hasse graphs of post ordered sets.The results expressed by Hasse graph are intuitive and robust.If the fitting order relation of the scheme on each index can be obtained,the scheme comparison can be realized without specific data,which expands the application scope of the traditional method.Example analysis shows the key points and uniqueness of this method.
作者
闫艳
姚利微
YAN Yan;YAO Li-wei(School of Economics and Management,Huangshan College,Huangshan 245021,China;School of Business Administration,Liaoning Technical University,Huludao 125105,China)
出处
《模糊系统与数学》
北大核心
2023年第3期128-136,共9页
Fuzzy Systems and Mathematics
基金
黄山学院(2022xhwh013)
关键词
随机占优
多属性决策
偏序关系
Hasse图
Stochastic Dominance
Multi-attribute Decision Making
Partial Order Relation
Hasse Diagram
作者简介
闫艳(1978-),女,辽宁阜新人,黄山学院讲师,博士,研究方向:财务预警;姚利微(1999-),辽宁朝阳人,黄山学院讲师,研究生,研究方向:管理优化与决策。
