A consensus model for multiple criteria group decision making under linguistic environment

Consensus reaching process can be seen as a collaborative process in which a panel of decision makers or experts reach an agreement on developing and supporting an alternative representing their best interests. In this process some decision maker(s) may be asked to modify his/her preference(s) or opinion(s) until the final agreement within the whole can be achieved. In this paper, we propose a consensus reaching model for multiple criteria group decision making problems under linguistic environment. The evaluation values of experts take the form of 2-tuple linguistic values. An algorithm is utilized to convert the unacceptable 2-tuple linguistic evaluation values into the acceptable 2-tuple linguistic evaluation values. Finally, an example is presented to illustrate the validity of our method.