| 序数权重统一表示下的权重稳健性Hasse图分析 |
| |
| 引用本文： | 岳立柱,陆畅,施光磊.序数权重统一表示下的权重稳健性Hasse图分析[J].运筹与管理,2022,31(10):133-138. |
| |
| 作者姓名： | 岳立柱 陆畅 施光磊 |
| |
| 作者单位： | 1.黄山学院 经济管理学院,安徽 黄山 245000; 2.辽宁工程技术大学 管理科学与工程研究院,辽宁 葫芦岛 125105 |
| |
| 基金项目： | 辽宁省教育厅基金项目(LJ2020JCL028) |
| |
| 摘 要： | 认识多种序数赋权方法的共性,有助于摆脱方法选择困扰,增强其实用效果。首先以线性函数为目标函数,以权重关系构造约束条件,建立线性规划。在此基础上证明了任意权重均可由线性规划的极值点集来表示,揭示了序数权重实质上是极值点的加权线性组合。进一步针对赋权方法稳健性不足的问题,利用极值点构建偏序关系,通过Hasse图增强权重排序的稳健性。实例分析表明,尽管序数权重不同,但与偏序方法相结合,均能得到类似的分析结果。
|
| 关 键 词： | 权重 序数权重 偏序集 Hasse图 |
| 收稿时间： | 2020-01-29 |
Analysis of Hasse Graphs with Uniform Representation of Ordinal Weights |
| |
| YUE Li-zhu,LU Chang,SHI Guang-lei.Analysis of Hasse Graphs with Uniform Representation of Ordinal Weights[J].Operations Research and Management Science,2022,31(10):133-138. |
| |
| Authors: | YUE Li-zhu LU Chang SHI Guang-lei |
| |
| Affiliation: | 1. School of Economics and Management, Huangshan University, Huangshan 245000, China; 2. Institute of Management Science and Engineering, Liaoning Technical University, Huludao 125105, China |
| |
| Abstract: | It is helpful to get rid of the puzzle of method selection and enhance its practical effect to recognize the commonness of several ordinal weighting methods. Firstly, linear programming is established by taking linear function as objective function and constructing constraint conditions with weight relation. On this basis, it is proved that any weight can be expressed by the set of extreme points of linear programming, and it is revealed that ordinal weight is essentially a weighted linear combination of extreme points. Furthermore, aiming at the problem of insufficient robustness of weighting method, the partial order relation is constructed by using extreme points, and the robustness of weight ranking is enhanced by Hasse graph. The example analysis shows that although the ordinal weights are different, the similar analysis results can be obtained by combining with the partial order method. |
| |
| Keywords: | weight ordinal weight poset Hasse diagram |
|
| 点击此处可从《运筹与管理》浏览原始摘要信息 |
|
点击此处可从《运筹与管理》下载全文 |
|
