Multiattribute group decision making based on intuitionistic 2-tuple linguistic information

In this paper, we propose a new method for multiattribute group decision making (MAGDM) with the intuitionistic 2-tuple linguistic (I2L) information based on the proposed I2L generalized aggregation (I2LGA) operator. Firstly, we extend the Archimedean T-norm (TN) and T-conorm (TC) from the range [0, 1] to [0, t] (t > 0), and propose the extended TN and TC. Then, we develop general operational laws for the I2L information (I2LI) and propose the I2L generalized aggregation (I2LGA) operator for the I2LI based on extended TN and TC, and give some special cases and some of their properties with respect to some types of the extended TN and TC. Then, we propose a new MAGDM method with the I2LI based on the proposed I2LGA operator. Finally, we use an application example to verify the validity of the proposed MAGDM method and to show its advantages compared to existing MAGDM methods.