The multiattribute group decision making method based on aggregation operators with interval‐valued 2‐tuple linguistic information

The multiattribute group decision making method based on aggregation operators with interval‐valued 2‐tuple linguistic information

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Article ID: iaor20124017
Volume: 56
Issue: 1-2
Start Page Number: 27
End Page Number: 35
Publication Date: Jul 2012
Journal: Mathematical and Computer Modelling
Authors:
Keywords: simulation, decision theory: multiple criteria
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 , 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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