中文摘要：

针对方案对之间关系的识别框架为H={＞,‖,≥,≤,≈,＜,φ},决策者在各时刻的偏好信息以动态偏好Hasse图的形式描述,且偏好图包含的方案可能不完整的动态群决策问题,提出了一种融合偏好冲突与相容测度的鲁棒优化分析方法。在偏好、偏好序列及偏好图等概念的基础上,对偏好序列间的关系进行了定义;定义了能反映决策者动态偏好的相容与冲突支持等决策函数;集结出各决策者在各时段的权重,基于格上偏好关系建立了融合相容测度的强鲁棒和弱鲁棒分析模型,通过求解模型确定鲁棒策略解空间,得到方案对之间的强鲁棒和弱鲁棒关系,给出了应用该方法的具体步骤,举例说明了该方法的可行性。

英文摘要：

A robust optimization approach fusing preference conflicts and compatibility measure is proposed, focused on dynamic group decision making with preference information of policymakers at each time described with dynamic preference Hasse diagram with the identification framework of relation between program pairsH={〉,‖,≥,≤,≈,〈,φ} , where the preference diagram may contain incomplete decision making programs. First, on the basis of concepts about preference, preference sequence and preference figure, we define the relationship between preference sequences, as well as the decision function that reflects dynamic preference such as conflict and comply support. By aggregating the weight of each decision makers in each period, we build the strong robust and the weak robustness analysis models fusing compliance measures based on lattice preference. We solve the model to determine the robust strategy solution space, get the strong robust and weak relationship between program pairs, and give the specific procedure of the decision making. The feasibility and effectiveness of the proposed approach are illustrated with a numerical example.