Decision method for two-sided matching with interval-valued intuitionistic fuzzy sets considering matching aspirations

This paper studied the two-sided matching problem based on interval-valued intuitionistic fuzzy sets and matching aspirations, the related concepts of which were described. In order to solve this problem, the interval-valued intuitionistic fuzzy matrices were transformed into interval score matrices and score matrices. Based on the score matrices, matching aspiration matrix, and matching matrix, a two-sided matching model under the conditions of one-to-one two-sided matching was developed. Therein, matching aspirations were calculated using the maximum reciprocal-deviation principle. Considering the statuses of all agents on both sides were the same in most situations, the two-sided matching model was converted into a single-objective optimization model using the linear weighted method. "Optimal" two-sided matching was obtained by solving the model. At the conclusion of the study, the feasibility and effectiveness of the proposed method was illustrated with an example of matching executives with positions.