一个基于夹角测度的群决策结果稳定性的定量分析方法研究

发布时间：2018-06-28 20:51

本文选题：群决策 + 向量夹角　；参考：《系统科学与数学》2017年04期

【摘要】：群决策结果的稳定性分析是决策分析的一个重要内容或环节,也是群决策问题研究的热点和难点之一.一类常见的、基于序数偏好表达的群决策问题,通常采用加权计分规则(weighted scoring rules,简称WSRs)来求解.对其结果稳定性的评价或度量,文章提出了一个基于评分向量夹角测度的定量分析方法,论证了其合理性和可行性,给出了具体的求解方法;并考虑到实际分析中偏好或排序要求的复杂性,进一步探讨了复合关系下的相关概念及度量方法.与基于距离测度的稳定性度量相比,文章提出的方法具有较好的直观几何意义、可公度性和规模不变性等特点.
[Abstract]:The stability analysis of group decision results is an important part of decision analysis, and also one of the hot and difficult points in the study of group decision making. A class of common group decision making problems based on ordinal preference representation is usually solved by weighted score rule (weighted scoring rules, (short for WSRs). For the evaluation or measurement of the stability of the results, a quantitative analysis method based on the angle measure of the score vector is proposed, the rationality and feasibility of the method are proved, and the concrete solution method is given. Considering the complexity of preference or ranking requirements in practical analysis, the related concepts and measurement methods under composite relations are further discussed. Compared with the stability measure based on distance measure, the method proposed in this paper has some advantages such as intuitionistic geometry meaning, proportionality and scale invariance.
【作者单位】：安徽工业大学管理科学与工程学院;华中科技大学自动化学院;
【基金】：国家自然科学基金(61273206,71071063)资助课题
【分类号】：O225

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