Group decision making based on induced uncertain linguistic OWA operators

Based on the extended triangular conorm, some new operational laws of linguistic variables are defined. Then a class of new linguistic aggregation operators is developed by extending the OWA operator to the linguistic environment, the uncertain linguistic ordered weighted averaging (ULOWAf) operator, the induced uncertain linguistic ordered weighted averaging (IULOWAf) operator and the uncertain linguistic weighted averaging (ULWAf) operator. Later some desirable properties of the extended operators are studied and a practical group decision making methodology for an uncertain linguistic environment is proposed based on the ULWAf and the IULOWAf operators. A numerical example is given to illustrate the new approach for a financial decision making problem.

•We define operational law of linguistic variable with Triangular conorm.•A class of new linguistic aggregation operators are developed by extending the OWA operator to the linguistic environment.•We apply the developed operators to group decision making under uncertain linguistic environments.