It is impossible for agents on both sides to achieve complete rationality in the decision-making process of two-sided matching (TSM). The TODIM (an acronym in Portuguese of interactive and multi-criteria decision-making) method considering the psychological behavior of decision-makers is well applied in the multiple criteria decision making (MCDM) problems. The TSM is a MCDM problem. Therefore, in this paper, a method based on TODIM technique is introduced to solve the TSM problem, in which the intuitionistic linguistic numbers are utilized to describe the mutual evaluation between candidates and hiring managers. The focus of this paper is to develop a method for the multi-criteria TSM problem under intuitionistic linguistic environment. First, the evaluation matrices of each agent with respect to each criterion are provided by agents on the opposite side, and the weight assigned to each criterion is determined according to the importance of the evaluation criterion to the matching agent. Then, the dominance measurement of each agent over another one can be calculated based on the intuitionistic linguistic TODIM method. Next, a bi-objective optimization model which aims to maximize the overall satisfaction degree of agents on both sides is constructed to attain the optimal matching pair. Furthermore, the feasibility of the solution method is verified by a case study of person-position matching (PPM), and the matching result demonstrates that the proposed method is effective in dealing with multi-criteria PPM problem. Finally, the sensitivity of parameters and some comparative studies are discussed.

中文翻译：

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一种基于TODIM技术的多准则两侧匹配方法及其在人位匹配中的应用

双方代理在双边匹配（TSM）的决策过程中不可能达到完全理性。考虑决策者心理行为的TODIM（葡萄牙语交互式和多标准决策的首字母缩写）方法很好地应用于多标准决策（MCDM）问题。TSM 是一个 MCDM 问题。因此，本文引入了一种基于TODIM技术的方法来解决TSM问题，其中利用直觉语言数来描述候选人和招聘经理之间的相互评价。本文的重点是开发一种在直觉语言环境下解决多标准 TSM 问题的方法。第一的，每个智能体对每个标准的评价矩阵由对端的智能体提供，并根据评估标准对匹配智能体的重要性确定分配给每个标准的权重。然后，可以基于直觉语言 TODIM 方法计算每个代理相对于另一个代理的优势度量。接下来，构建旨在最大化双方代理整体满意度的双目标优化模型，以获得最佳匹配对。此外，通过人位匹配（PPM）的案例研究验证了该解决方法的可行性，匹配结果表明该方法在处理多标准PPM问题上是有效的。最后，