研究语言偏好信息下的群决策问题.定义了反映群体共识的两个测度指标,分别反映群体内所有专家的一致性水平及专家的个人观点与群体观点的分歧程度;基于共识测度指标构建一种语言标度的颗粒优化模型,提出了求解语言标度颗粒最佳分界点的改进PSO算法,并给出一种对方案排序进行择优的群决策方法.最后,通过一个算例说明了所提出方法的可行性和有效性.
Group decision making problems with linguistic preference information are studied. Two measures of group consensus are defined to reflect respectively the level of agreement among all the experts and the difference degree between the experts' individual opinions and the collective one. Based on the consensus measure indicators, an optimization model of linguistic scales granulation is constructed. An improved PSO algorithm is established to obtain the optimal cutoff points for the linguistic scales. A group decision-making method is developed, and a ranking order of alternatives and the best alternative are obtained. Finally, a numerical example illustrates the feasibility and effectiveness of the proposed method.