Group decision making approach based on interval-valued intuitionistic linguistic geometric aggregation operators

Abstract

In this paper, a new concept of interval-valued intuitionistic linguistic number IVILN, which is characterised by a linguistic term, an interval-valued membership degree and an interval-valued non-membership degree, is first introduced. Then, score function, accuracy function and some multiplicative operational laws of IVILNs are defined. Based on these two functions, a simple approach for the comparison between two IVILNs is presented. Based on these operational laws, some new geometric aggregation operators, such as the interval-valued intuitionistic linguistic weighted geometric IVILWG operator, interval-valued intuitionistic linguistic ordered weighted geometric IVILOWG operator and interval-valued intuitionistic linguistic hybrid geometric IVILHG operator, are proposed, and some desirable properties of these operators are established. Furthermore, by using the IVILWG operator and the IVILHG operator, a group decision making approach, in which the criterion values are IVILNs and the criterion weight information is known completely, is developed. Finally, an illustrative example is given to demonstrate the feasibility and effectiveness of the developed method.