Two-sided Matching Based On Intuitionistic Fuzzy Sets and Matching Aspirations

This paper studies the two-sided matching problem based on intuitionistic fuzzy set and matching aspiration. The concepts of intuitionistic fuzzy set and two-sided matching are given. The two-sided matching problem based on intuitionistic fuzzy set and matching aspiration is described. In order to solve the problem, the intuitionistic fuzzy matrices are transformed into score matrices. Based on score matrices, matching aspiration matrices and matching matrices, a two-sided matching model considering scores and matching aspirations under the conditions of one-to-one two-sided matching is developed. Here, the matching aspirations are calculated by using the maximum score reciprocal-deviation principle based on the calculated score deviations and the score reciprocal-deviations. Considering the statuses of all agents of both sides are the same in most cases, the two-sided matching model is converted into a single-objective optimization model by using the linear weighted method. The "optimal" two-sided matching is obtained by solving the model. Lastly, the feasibility and effectiveness of the proposed two-sided matching is illustrated with an example of person-post matching.