直觉模糊环境下考虑匹配意愿的双边匹配决策

doi:10.16381/j.cnki.issn1003-207x.2017.06.017

Abstract

Abstract: The two-sided matching problem has always been concerned by the scholars in the fields of economic management and so on. Due to the complexity and fuzzy uncertainty of objective things, the preferences given by two-sided agents are in the format of intuitionistic fuzzy sets sometimes. The two-sided matching decision problem based on intuitionistic fuzzy sets and matching aspirations is an urgent need research new topic in psychology and decision science with rich actual backgrounds, and still has forward position and exploration. The theory of intuitionistic fuzzy set has been widely applied in the field of decision, but the application in the field of two-sided matching decision are relatively rare. Therefore, how to introduce the related theories of intuitionistic fuzzy set and matching aspiration into the two-sided matching decision problem and develop scientific and effective decision method have important theoretical significance and practical application value with respect to the research on two-sided matching decision. In this paper, the two-sided matching problem is investigated based on intuitionistic fuzzy sets and matching aspirations. The concepts of intuitionistic fuzzy set and two-sided matching are firstly introduced. Then, the two-sided matching problem based on intuitionistic fuzzy sets and matching aspirations is described. In order to solve this problem, the intuitionistic fuzzy set matrixes are transformed into score matrixes. Based on score matrixes and matching matrixes, a two-sided matching model considering scores under the constraint conditions of one-to-one two-sided matching is developed. Moreover, the score deviations and the score reciprocal-deviations are calculated based on score matrixes. Then the matching aspiration matrix can be calculated by using the maximum score reciprocal-deviation principle. The two-sided matching model considering scores is converted into a two-sided matching model considering scores and matching aspirations according to the matching aspiration matrix. The “optimal” two-sided matching can be obtained by solving the model. Lastly, the feasibility and effectiveness of the proposed two-sided matching decision is illustrated with an example of technology supply-demand matching. The research achievements of this paper develop and prefect the decision theories and methods for two-sided matching based on intuitionistic fuzzy sets and matching aspiration. But this paper discussed preliminarily this case that the preferences of two-sided agents are intuitionistic fuzzy sets. When the preferences of two-sided agents are in the format of interval-valued intuitionistic fuzzy sets, triangular intuitionistic fuzzy numbers, or trapezoidal intuitionistic fuzzy numbers in the two-sided matching problem, the above problem has yet to be further researched and explored.

Key words: two-sided matching, intuitionistic fuzzy set, matching aspiration, maximum reciprocal-deviation, two-sided matching model

CLC Number:

C934

YUE Qi. Two-sided Matching Decision Considering Matching Aspiration under the Intuitionistic Fuzzy Circumstance[J]. Chinese Journal of Management Science, 2017, 25(6): 161-168.

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Two-sided Matching Decision Considering Matching Aspiration under the Intuitionistic Fuzzy Circumstance

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