基于TODIM的直覺(jué)模糊雙邊公平滿(mǎn)意匹配方法

摘要： 針對(duì)直覺(jué)模糊偏好信息下的雙邊匹配問(wèn)題,考慮匹配主體參照依賴(lài)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(mǎn)意匹配方法.首先,對(duì)直覺(jué)模糊偏好信息下的雙邊匹配問(wèn)題進(jìn)行描述;然后,依據(jù)前景理論將雙邊主體的直覺(jué)模糊偏好信息轉(zhuǎn)化為相對(duì)于參照點(diǎn)的收益或損失,在此基礎(chǔ)上,依據(jù)TODIM法計(jì)算每個(gè)主體的總體優(yōu)勢(shì)度,構(gòu)建滿(mǎn)意度計(jì)算規(guī)則,建立雙邊公平滿(mǎn)意匹配優(yōu)化模型,求解模型并獲得雙邊匹配解;最后,通過(guò)一個(gè)算例驗(yàn)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.