关键词: 模糊偏好关系, 加性一致性, 特征偏好关系, 一致性指数, 迭代算法

Abstract: Fuzzy Preference Relation（FPR） is a kind of effective tool in the process of decision making problems. As for FPRs, the determination conditions of additive consistent FPR are investigated, and the additive consistent characteristic FPR is constructed. This paper also presents the concepts of consistency index, acceptable additive consistency of FPR. Based on the characteristic FPR, a convergent consistency-improving algorithm is proposed to adjust unacceptably additive consistent FPR into an acceptably additive one, and it helps the decision maker to obtain the reasonable and reliable decision making results. Finally, a decision making model is put forward on the basis of the additive consistent FPR. The numerical example is provided to demonstrate the proposed decision making model’s feasibility and effectiveness.

Key words: fuzzy preference relation, additive consistency, characteristic preference relation, consistency index, iterative algorithm