基于加型互反矩阵与序关系的团体标准群决策算法研究

Research on group standard decision algorithm based on additive reciprocal matrix and order relation

设计改善决策者协调效率与方法的模型已经成为近年来备受关注的一个重要课题。针对决策矩阵集结方式和属性权重划分的群体决策集结问题,提出了一种基于加型互反矩阵和序关系的一致性共识形成算法。首先,构建基于加型互反矩阵的决策空间,测量出方案的理想程度和决策者个体偏好与理想解之间的距离程度,并考虑约束条件的影响;其次,引入极差最大组合赋权法的相关概念,并利用序关系的相关表达对方案改善能力进行衡量;最后,构建基于加型互反矩阵和序关系的群体决策共识决策算法,进而得到合理可靠的决策结果,同时提出的新算法用于团体标准方案的选择算例,对比分析验证算法的合理性和有效性。

Designing the model to improve the coordination efficiency and methods of decision makers has become an important topic in recent years.Aiming at the group decision aggregation problem of decision matrix aggregation and attribute weight division,a consensus formation algorithm based on additive reciprocal matrix and order relation is proposed.Firstly,the decision space based on additive reciprocal matrix is constructed,the ideal degree of the scheme and the distance between the individual preference of the decision-maker and the ideal solution are measured,and the influence of constraints is considered.Secondly,the related concepts of range maximum combination weighting method are introduced,and the improvement ability of the scheme is measured by using the related expression of order relationship.Finally,a consensus decision algorithm for group decision-making based on additive reciprocal matrix and order relationship is constructed,and then reasonable and reliable decision results are obtained.At the same time,the new algorithm is used in the selection example of group standard scheme,and the rationality and effectiveness of the algorithm are verified by comparative analysis.