Affiliations: [a] Department of Management Engineering, School of Economics & Management, Xidian University, Xi’an, China
| [b] Business School, Sichuan University, Chengdu, China
| [c] International Business School, Shaanxi Normal University, Xi’an, China
Abstract: In this paper, an innovative multi-attribute decision making method is developed for the two-sided matching, where the psychological behaviors of matching bodies are considered, and the values of aspiration levels and evaluations are represented in three formats: hesitant fuzzy set (HFS), interval-valued hesitant fuzzy set (IVHFS) and hesitant fuzzy linguistic term set (HFLTS)). Specifically, the distances between evaluations and aspiration levels are calculated. Then, based on prospect theory, the aspiration levels are regarded as the reference points, and the gain and loss matrices of matching bodies are constructed, subsequently. Next, the overall prospect value matrices are constructed. Furthermore, a multi-objective optimization model maximizing the overall prospect values of two-sided matching bodies is built to determine the matching results. And a fast bi-objective non-dominated sorting genetic algorithm (BNSGA) is designed to solve the proposed model. Finally, an example is provided to illustrate the potential applications of the proposed method.
Keywords: Matching, hesitant fuzzy set, interval-valued hesitant fuzzy set, hesitant
fuzzy linguistic term set, bi-objective non-dominated sorting genetic algorithm (BNSGA)
