Abstract: For the past decades, the two-sided matching decision making problem has always been the focus of many scholars, however, there is a still blank in using the bidirectional projection method to solve two-sided matching decision making problems with interval-valued hesitant fuzzy information. With regard to the two-sided matching problem based on interval-valued hesitant fuzzy information, in this paper proposed a matching decision making method. Firstly, the problem description of two-sided matching with interval-valued hesitant fuzzy information is given. Secondly, according to the preference information, we construct the interval-valued hesitant fuzzy matrix, and using bidirectional projection method to aggregate the interval-valued hesitant fuzzy information, bidirectional projection values matrix is constructed; Using traditional Topsis method construct the close degree matrix; Furthermore, a two-sided matching optimization model is developed, the two-sided matching result is obtained by solving the model. Finally, an illustrative example is given to illustrate the effectiveness and feasibility of the proposed method.

Key words: two-sided matching, interval-valued hesitant fuzzy inforamtion, bidirectional projection method, optimization model

摘要： 近年来,双边匹配决策问题受到学者们的广泛关注,然而区间犹豫模糊信息双向投影技术的双边匹配决策问题的研究并不多见。因此,针对基于区间犹豫模糊信息下的双边匹配问题,本文提出了一种基于区间犹豫模糊信息双向投影技术的双边匹配决策方法。给出了区间犹豫模糊信息下的双边匹配问题的描述;依据双边主体给出的偏好信息构造区间犹豫模糊矩阵,运用双向投影法对区间犹豫模糊矩阵进行技术处理,构造双向投影矩阵;采用传统Topsis思想构造贴近度矩阵;在此基础上,构建了该双边匹配问题的优化模型,并使用组合满意度法对优化模型进行求解,从而得到了双边主体间的匹配结果;最后,通过算例说明了所提方法的有效性和可行性。

关键词: 双边匹配, 区间犹豫模糊信息, 双向投影法, 优化模型