基于新排序函数的直觉模糊双边匹配决策方法

针对直觉模糊双边匹配问题,基于新的排序函数提出一种考虑匹配意愿的双边匹配决策方法.给出新的直觉模糊集排序函数的相关理论;描述考虑主体匹配意愿的直觉模糊双边匹配问题.决策方法如下:首先依据新的排序函数将直觉模糊偏好转换为排序值偏好;基于排序值矩阵、匹配意愿矩阵和匹配矩阵,建立考虑匹配意愿的多目标双边匹配模型;考虑到双方所有主体在大多数情形下所处的地位相同,使用均值法将多目标模型转化为单目标模型,进而通过模型求解获得双边匹配方案.算例分析进一步表明了所提出决策方法的有效性.

Decision method for intuitionistic fuzzy two-sided matching based on the new ranking function

A two-sided matching decision method considering the matching aspirations is proposed to solve the intuitionistic fuzzy two-sided matching problem based on a novel ranking function. The related theories of the ranking function of intuitionistic fuzzy set are introduced. The intuitionistic fuzzy two-sided matching problem considering agents'' matching aspirations is described. The decision method is given as follows. The preference of intuitionistic fuzzy sets is firstly transformed into the preference of ranking values according to the new ranking function. Based on the ranking value matrices, the matching aspiration matrix and the matching matrix, a multi-objective two-sided matching model considering the matching aspirations is developed. Considering the statuses of all agents on both sides are the same in most situations, the multi-objective model is converted into a single-objective model using the mean value method. The two-sided matching alternative is determined by model solution. An example analysis further explains the effectiveness of the proposed decision method.