基于區(qū)間數(shù)判斷矩陣與模糊聚類分析的主觀群決策AHP方法

摘要： 針對基于AHP的主觀群決策方法中數(shù)值型判斷矩陣無法描述專家對關(guān)系判斷的不確定性,建立了一個包含判斷矩陣構(gòu)造、一致性檢驗、區(qū)間權(quán)重求解、多專家權(quán)重融合等多步驟的區(qū)間數(shù)主觀群決策方法,提出一種新的區(qū)間數(shù)判斷矩陣生產(chǎn)與一致性調(diào)整方法,將模糊c均值聚類分析應(yīng)用到多專家權(quán)重的融合中。文章還從理論上和通過算例驗證了該方法的可行性與合理性。
In view of the fact that numerical judgment matrix in the method of subjective group decision-making based on AHP fails to describe experts' uncertainty about relationship judgment,this paper establishes a method of interval number subjective group decision-making which contains judgment matrix construction,consistency test,interval weight solution,multi-expert weight fusion,etc..And then the paper proposes a new method of interval number judgment matrix production and consistency adjustment,and applies fuzzy c-means(FCM) clustering analysis to the fusion of multi-expert weights.Finally the paper presents calculation example to verify the feasibility and rationality of the method theoretically.