基于概率犹豫信息集成方法的群决策模型

摘要

Serious loss of the decision information is caused while the decision making information is described by the existing hesitant fuzzy sets. In this paper, a multi-attribute group decision making model is designed on the basis of the probabilistic hesitant fuzzy information aggregation operators. Firstly, the Archimedean norm is introduced under the probability hesitation fuzzy environment to define the probability hesitation fuzzy operation rule. Secondly, the generalized probabilistic hesitant fuzzy ordered weighted averaging ( GPHFOWA ) operator and the generalized probabilistic hesitant fuzzy ordered weighted geometric ( GPHFOWG ) operator are proposed based on the operation rule, and their basic properties are discussed. Subsequently, several common forms of GPHFOWA operator and GPHFOWG operator and their relations are analyzed. Finally, a probabilistic fuzzy multi-attribute group decision making model is constructed by using the two kinds of operators, and the feasibility and the effectiveness of the decision model are verified by an example of supplier selection.%现有犹豫模糊集在描述决策信息时会导致决策信息大量损失,因此文中基于概率犹豫模糊信息集成算子,构建多属性群决策模型.首先在概率犹豫模糊环境下引入Archimedean范数,定义概率犹豫模糊运算法则.基于该运算法则,提出广义概率犹豫模糊有序加权平均(GPHFOWA)算子和广义概率犹豫模糊有序加权几何(GPHFOWG)算子,并讨论它们的基本性质.然后分析GPHFOWA算子和GPHFOWG算子的常见形式和相互关系.最后运用提出的2类算子构建概率犹豫模糊多属性群决策模型,并且通过供应商的选择实例验证决策模型的可行性和有效性.