关键词: 模糊层次分析法, 逆向排序, 证据理论, 方案评价, 轴承转子系统

Abstract: In view of two problems existing in FAHP, one is rank reversal problem and another is the limited capability in dealing with uncertainty. When it is applied to evaluation and selection for product schemes, this paper intends to treat criterion weights and performance scores of alternatives on criteria separately and introduce Evidential Reasoning（ER） theory, which is good at uncertain reasoning, into the systematic framework of FAHP to calculate the performance scores of alternatives. Then a hybrid group based decision model FAHP-ER is proposed by combining both FAHP and ER approach together, which enhances capability of FAHP in dealing with uncertainty, another weakness in FAHP, due to introduction of ER algorithm. A case study for rotor and bearing system scheme evaluation is presented to demonstrate the application of hybrid decision model and finally a reasonable rotor system scheme is obtained.

Key words: fuzzy Analytic Hierarchy Process（AHP）, rank reversal, evidential reasoning theory, scheme evaluation, rotor and bearing system