基于語言偏好信息的穩(wěn)定雙邊匹配決策方法

摘要： 針對語言偏好信息下的雙邊匹配問題,提出一種雙邊匹配決策方法。首先,將雙邊主體給出的語言偏好信息轉(zhuǎn)化為三角模糊數(shù);然后,基于去模糊化處理方法將三角模糊數(shù)轉(zhuǎn)化為匹配滿意度,在此基礎(chǔ)上,考慮穩(wěn)定匹配約束條件,以最大化每方主體的匹配滿意度為目標,建立雙邊匹配多目標優(yōu)化模型,求解模型,獲得雙邊匹配結(jié)果;最后,通過一個算例驗證了提出方法的可行性和有效性。
A decision making method for two-sided matching is proposed to solve two-sided matching problem under linguistic preference information. Firstly,the linguistic preference information provided by agent on both sides is transformed into triangular fuzzy numbers. Secondly,the triangular fuzzy numbers are transformed into matching satisfaction degree by the defuzzification method. Furthermore,for maximizing matching satisfaction degree of each agent,a multiple objective optimization two-sided matching model is constructed considering the stable matching constraint conditions,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.