基于优先集成算子的直觉乘法偏好关系共识模型

Consensus model with intuitionistic multiplicative preference relations based on prioritized aggregation operators

针对专家之间具有优先关系时直觉乘法偏好关系下群体共识决策问题,提出一种基于优先集成算子的直觉乘法偏好关系共识方法。为了有效集结专家偏好信息,提出直觉乘法优先加权平均(IMPWA)算子和直觉乘法优先加权几何(IMPWG)算子,并研究其相关性质;定义直觉乘法偏好关系的共识度和接近度概念,据此完成非共识偏好信息的识别和修正,构建一种迭代共识算法。案例表明该方法的可行性和有效性。

With respect to the group consensus decision problems in which the experts are in different priority level,this paper put forward a consensus model with intuitionistic multiplicative preference relations based on prioritized aggregation operators.In order to aggregate the experts' preference information effectively,it developed the intuitionistic multiplicative prioritized weighted averaging operator and intuitionistic multiplicative prioritized weighted geometric operator,and studied the related properties simultaneously. Moreover,this paper presented an iterative consensus algorithm,where guided the identification and correction process by the consensus degree and proximity measure of intuitionistic multiplicative preference relations. At last,it provided a case study to illustrate the validity and rationality of the proposed method.