Some generalized aggregating operators with linguistic information and their application to multiple attribute group decision making
With respect to multiple attribute group decision making problems with linguistic information, some new decision analysis methods are proposed. Firstly, we develop three new aggregation operators: generalized 2-tuple weighted average (G-2TWA) operator, generalized 2-tuple ordered weighted average (G-2TOWA) operator and induced generalized 2-tuple ordered weighted average (IG-2TOWA) operator. Then, a method based on the IG-2TOWA and G-2TWA operators for multiple attribute group decision making is presented. In this approach, alternative appraisal values are calculated by the aggregation of 2-tuple linguistic information. Thus, the ranking of alternative or selection of the most desirable alternative(s) is obtained by the comparison of 2-tuple linguistic information. Finally, a numerical example is used to illustrate the applicability and effectiveness of the proposed method. (C) 2011 Elsevier Ltd. All rights reserved.
linguistic information multiple attribute group decision making generalized 2-tuple weighted average (g-2twa) operator generalized 2-tuple ordered weighted average (g-2towa) operator induced generalized 2-tuple ordered weighted average (ig-2towa) operator