基于TODIM的直覺模糊雙邊公平滿意匹配方法

摘要： 針對直覺模糊偏好信息下的雙邊匹配問題,考慮匹配主體參照依賴和損失規(guī)避的心理行為,提出一種基于TODIM(TOmada de decis?o interativa multicritério)的雙邊公平滿意匹配方法.首先,對直覺模糊偏好信息下的雙邊匹配問題進行描述;然后,依據(jù)前景理論將雙邊主體的直覺模糊偏好信息轉(zhuǎn)化為相對于參照點的收益或損失,在此基礎(chǔ)上,依據(jù)TODIM法計算每個主體的總體優(yōu)勢度,構(gòu)建滿意度計算規(guī)則,建立雙邊公平滿意匹配優(yōu)化模型,求解模型并獲得雙邊匹配解;最后,通過一個算例驗證所提出方法的可行性和有效性.
With respect to the two-sided matching problems with intuitionistic fuzzy preference information, in which the reference dependence and loss aversion psychological behavior of the agents are considered, a two-sided fair and satisfied matching method is proposed based on TODIM(TOmada de decis?o interativa multicritério). Firstly, the description of two-sided matching problems with intuitionistic fuzzy preference information is given. Then, the intuitionistic fuzzy preference information of the agents on both sides are transformed in to the gains or losses relative to the reference point based on the prospect theory. Furthermore, the total dominance degree of each agent is calculated based on the TODIM method, and the calculating rules of satisfaction degree is confirmed. An optimization two-sided fair and satisfied matching model is constructed, and the two-sided matching result can be obtained by solving the model. Finally, an example is given to prove the feasibility and validity of the proposed method.