基于区间直觉模糊集的多阶段动态双边匹配决策方法

Research on Multi-stage Dynamic Two-sided Matching Decision Method Based on Interval Intuitionistic Fuzzy Sets

在双边匹配问题中,偏好强度很难用具体的数值来描述,加之双边匹配具有阶段性特征,因此论文从以上两个方面提出一种新的处理多阶段双边匹配的方法。首先,依据每阶段的匹配最优信息动态分配权重;其次,提出不确定动态区间直觉模糊加权几何(UDIIFWG)算子,并用该集结算子将多个阶段的偏好信息进行集结,并基于得分函数矩阵和匹配矩阵构建以双边主体满意度最大为目标的匹配决策模型,通过求解该模型得到最优的匹配决策方案。最后,通过算例对所提方法加以验证。

In two-sided matching problem,the preference strength is difficult to describe with specific numerical values.In addition,the bilateral matching has stage characteristics.This paper proposes a multi-stage bilateral matching method based on interval intuitionistic fuzzy sets.Finally,an example is given to illustrate the effectiveness of the given method.First,dynamically assign weights based on the optimal matching information at each stage;Secondly,An uncertain dynamic interval intuitionistic fuzzy weighted geometry(UDIIFWG)operator which are used to aggregate preference information is proposed,and use the aggregator to aggregate multiple stages of preference information;Third,with the goal of maximizing two-sided subject satisfaction,a two-sided matching model based on the score function matrix and the matching matrix was constructed;The optimal matching decision plan is obtained by solving the model.Finally,an example is given to illustrate the feasibility and effectiveness of the proposed method.