Rough Number—Based Three-Way Group Decisions and Application in Influenza Emergency Management

Abstract

Group decision-making can effectively deal with complex decision problems in reality and takes important research status in the field of decision-making. In recent years, three-way decision has been a hot topic in the field of uncertain decision-making, so the models of three-way decision under group environment have become a new direction and problem in decision-making research. Based on the subjectivity and uncertainty of the group judgment, this paper adopts the rough number method to objectively and effectively integrate the group information so as to establish rough number—based three-way decision models. First of all, we use rough numbers to transfer loss functions of individuals into a rough number—based gathering loss function, and verify the rough number—based loss function meets the general characteristics of general loss functions. Then from the perspectives of optimism, pessimism, risk preference of decision-makers, and directly operation of rough numbers, we explore the calculation of thresholds and the acquisition method of three-way rules, and then establish rough number—based three-way group decision models. Finally, influenza emergency management is introduced to verify the effectiveness and advancement of the novel method.