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中文摘要：
犹豫模糊偏好关系是一种有效的群决策工具。针对犹豫模糊偏好关系,提出乘性一致性、一致性指数、可接受乘性一致性等概念;获得了乘性一致性犹豫模糊偏好关系的若干判定条件。同时构造了特征犹豫模糊偏好关系,并证明了其满足乘性一致性。在此基础上,给出了不满足乘性一致犹豫模糊偏好关系的调整方法,论证了算法的收敛性。文中提出了基于犹豫模糊偏好关系的群决策模型和步骤。实例分析说明犹豫模糊偏好关系的群决策模型方法是可行和有效的。
英文摘要：
Hesitant fuzzy preference relations （HFPRs） is a kind of effective tool in the process of group decision making （GDM） problems. As for HFPRs, the concepts of multiplicative consistent HFPR, consistency index, acceptable multiplicative consistent HFPR are presented, and the determination conditions of multiplicative consistent HFPR are obtained. We also construct the characteristic HFPR and prove that it is multiplicative consistent. Based on the characteristic HFPR, a consistency-improving algorithm is proposed to adjust unacceptably multiplicative consistent HFPR into an acceptably multiplicative one, and it is also proved to be convergent. Model and steps of group decision making are put forward based on HFPRs. The numerical example is provided to demonstrate the proposed method＇s feasibility and effectiveness.
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