A method based on induced aggregation operators and distance measures to multiple attribute decision making under 2-tuple linguistic environment

• A new decision making model called 2LIGOWAD operator is developed.
• The 2LIGOWAD operator unifies IOWA and distance measures with 2-tuple linguistic information.
• The applicability and particular cases of the 2LIGOWAD are studied.
• An application of the 2LIGOWAD to group decision making problem is presented.

We develop a new multiple attribute decision making approach for dealing with 2-tuple linguistic information, called the 2-tuple linguistic induced generalized ordered weighted averaging distance (2LIGOWAD) operator. This generalization includes a wide range of 2-tuple linguistic aggregation distance operators such as the 2-tuple linguistic induced ordered weighted averaging distance (2LIOWAD) and the 2-tuple linguistic induced Euclidean ordered weighted averaging distance (2LIEOWAD) operators. We study some of its main properties, and we further generalize the 2LIGOWAD operator by using the Quasi-arithmetic means. Finally we present an application of the developed operator to a group decision making problem about selection of strategies.