New linguistic aggregation operators for decision making

This paper presents new operators named as linguistic reweighted arithmetic averaging (LRAA) and linguistic reweighted geometric averaging (LRGA) to aggregate information in group multi criteria decision making problems under linguistic settings. These operators are equipped with a capacity to deduce weight of a criterion in commensuration with its ability to discriminate among the alternatives. The properties of the operators are given. The proposed concepts are illustrated through a case study in group multi criteria decision making.