关键词: 多属性群决策, 概率区间犹豫模糊集, Archimedean范数, 几何算子, 网络舆情预测系统

Abstract: For the serious loss of important level of information when decision making information is described by interval-valued hesitant fuzzy set, a new multi-attribute group decision making model is investigated on the basis of probabilistic interval-valued hesitant fuzzy geometric operator. Firstly, the concept of probabilistic interval-valued hesitant fuzzy set is introduced, and the new probabilistic interval-valued hesitant fuzzy operational laws are defined by using the Archimedean norm. Then, based on the defined operational laws, the Probabilistic Interval-Valued Hesitant Fuzzy Ordered Weighted Geometric（PIVHFOWG） operator is proposed. Furthermore, some basic properties of PIVHFOWG operator are discussed, and several common forms of PIVHFOWG operator are studied. Finally, a novel multi-attribute group decision making model is developed under the probabilistic interval-valued hesitant fuzzy information environment, and a numerical example about the network public opinion prediction system selection is provided to illustrate the effectiveness of the developed model.

Key words: multi-attribute group decision making, probabilistic interval-valued hesitant fuzzy sets, Archimedean norm, geometric operator, network public opinion prediction system