Abstract
Many researchers have proposed lots of 2-tuple linguistic models and applied them to multiattribute group decision making (MAGDM) problems. Based on the definition of an interval 2-tuple linguistic variable given by Lin et al. in 2005 [28], this paper puts forward the interval-valued 2-tuple linguistic variable and introduces its score and accuracy functions for comparison between interval-valued 2-tuples. In addition, some aggregation operators of interval-valued 2-tuples, together with their properties, are introduced. Finally, two numerical examples are presented to illustrate the application of proposed aggregation operators in MAGDM. The results indicate that the interval-valued 2-tuple expresses preferences of decision maker more naturally than 2-tuples and aggregation operators proposed can easily aggregate the interval-valued 2-tuple information denoted by different multi-granularity linguistic term sets.
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