Grey relational analysis method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information

► The 2-tuple linguistic multiple attribute group decision making problems with incomplete weight information are investigated. An optimization model based on the maximizing deviation method, by which the attribute weights can be determined, is established. According to the traditional ideas of grey relational analysis (GRA), the optimal alternative(s) is determined by calculating the linguistic degree of grey relation of every alternative and 2-tuple linguistic positive ideal solution and 2-tuple linguistic negative ideal solution.