Abstract
Two-sided matching problems are common and crucial parts of human activity; the psychological behavior of agents is an important factor that should not be ignored in such problems. However, existing academic research has not considered the psychological behavior of agents in two-sided matching models. Therefore, this study develops a method for determining the most satisfactory results for agents on both sides of a matching problem that considers agents’ regret aversion behavior as measured using linguistic preference information. Initially, the preference utility and regret values are computed based on regret theory; then, the perceived utility values of each agent are obtained. This two-sided matching model has been established to maximize matching satisfaction without waste using the minmax method. Finally, a practical example is discussed to demonstrate the feasibility and validity of the proposed method.
Highlights
The concept of two-sided matching—which refers to finding optimal matches based on preference information from each agent for potential matching objects from two separate sets of agents—originated from Gale and Shapley’s (2013) research on marriage matching and college admissions
The remainder of this article is organized as follows: in our Materials and Methods, we present the concepts of linguistic term sets, regret theory, and two-sided matching; describe the two-sided matching problem; and detail a twosided matching method that considers regret aversion
The psychological behavior of DMs is an important factor in this process and should not be ignored
Summary
The concept of two-sided matching—which refers to finding optimal matches based on preference information from each agent for potential matching objects from two separate sets of agents—originated from Gale and Shapley’s (2013) research on marriage matching and college admissions. Two-sided matching is an emerging research area in the field of optimization and decision analysis for social problems, and has been comprehensively employed in practical applications to solve multifaceted problem It has been used in economic management for seller matching Chen et al, 2016; Liu & Li, 2017), venture capital matching (Sørensen, 2007), enterprise post-employee matching (Azevedo, 2014; Bando, 2012), and supplier–score problems It has great importance for social problems, such as marriage (Alcalde, 1996; Ashlagi et al, 2014; Eriksson & Karlander, 2000; Gale & Shapley, 2013; Irving et al, 2008) and roommate (Aziz, 2013; Chung, 2000) matching, as well as education problems, as in intern– hospital (Roth, 1985; Roth & Peranson, 1997, 1999) and student-admission (Abdulkadiroğlu et al, 2005; Abdulkadiroğlu & Sönmez, 2003; Pais, 2008) matching
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