Some Generalized Uncertain Linguistic Aggregating Operators

Abstract

With respect to multiple attribute group decision making problem with uncertain linguistic information, in which the attribute weights and expert weights take the form of real numbers, and the attribute preference values take the form of uncertain linguistic variables, some new generalized uncertain linguistic aggregating operators have been proposed: generalized uncertain linguistic weighted aggregating (GULWA) operator, generalized uncertain linguistic ordered weighted aggregating (GULOWA) operator and generalized uncertain linguistic hybrid aggregating (GULHA) operator. It has been shown that both GULWA and GULOWA operators are the special case of the GULHA operator. The GULHA operator generalizes both the GULWA and GULOWA operators, and reflects the importance degrees of both the given arguments and their ordered positions. Based on the GULWA and GULHA operators, an approach has been proposed to solve the MAGDM problems under uncertain linguistic environment. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.