A dynamic group grey target decision approach with group negotiation and Orness measure constraint

Abstract

Some factors such as expert information, behavior and time influence the decision-making results in dynamic group decision-making. In view of this, from the angle of group negotiation and system coordination, we exploit the Orness measure constraints and Nash bargaining model to establish a novel dynamic group grey target decision method. In this paper, we firstly define concepts of multi-index group measure matrix, stage bull’s-eye matrix and whole bull’s-eye matrix, which consists of the schemes, the objective, the experts, and the time. Then, based on the maximization of decision group satisfaction and the minimization of system coordination deviation, the asymmetric Nash bargaining model is used to construct a two-step optimization model. Last, the suggested optimization model is used to solve stage bull’s eye matrix. What’s more, we utilize the Orness measure constraints to establish a phase weight nonlinear programming model, and then use it to solve the weight of the stage and determine the entire bull’s-eye matrix. And we utilize the norm to measure the norm distance between group measure matrix and the stage and whole bull’s-eye matrix of the schemes, so that we can give the stage and whole schemes ranking. Finally, the case of emergency group decision making tests the validity and rationality of the proposed method.