Some operators of intuitionistic uncertain 2-tuple linguistic variables and application to multi-attribute group decision making with heterogeneous relationship among attributes

The aim of this paper is to develop a method for solving multi-attribute group decision making (MAGDM) problems with intuitionistic uncertain 2-tuple linguistic (IU2TL) variables (IU2TLVs). Firstly, operational laws and similarity degrees of IU2TLVs are introduced. Secondly, a new aggregation operator called IU2TL continuous chi-deviation ordered weighted quasi-averaging (IU2TLC-CDOWQA) is proposed. Then, to deal with heterogeneous relationships, the IU2TL continuous extend Bonferroni mean (IU2TLC-EBM) operator is developed, and hereby a method for MAGDM problems with IU2TLVs is proposed. Finally, an illustrated example and comparing analysis show that the proposed method is practical and effective.