This paper proposes a decision method based on cumulative prospect theory to solve the two-sided matching problem with uncertain preference ordinal in-
formation considering agents’ expected values. Firstly, according to the existing con- cepts of two-sided matching and uncertain preference ordinal, the two-sided matching problem above is described. Then the expected value given by each agent is chosen as the reference point, and two matrixes of gain and loss relative to the reference points are constructed. The two normalized prospect matrix are set up based on cumulative prospect theory and normalized formula. Furthermore, a multi-objective two-sided matching optimization model is developed. The multi-objective optimization model is transformed by using the linear weighted method. The matching result is obtained by solving the transformed single objective optimization model. Finally, an illustrative example of two-sided matching between persons and tasks illustrates the validity of the proposed method.
YUE Qi.
DECISION METHOD FOR THE TWO-SIDED MATCHING WITH UNCERTAIN PREFERENCE ORDINAL INFORMATION BASED ON CUMULATIVE PROSPECT THEORY. Journal of Systems Science and Mathematical Sciences, 2013, 33(9): 1061-1070 https://doi.org/10.12341/jssms12170