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.