The present work is focused on multi-attribute group decision-making (MAGDM) problems with the uncertain 2-tuple linguistic information (ULI2–tuple) based on new aggregation operators which can capture interrelationships of attributes by a parameter vector P. To begin with, we present some new uncertain 2-tuple linguistic MM aggregation (UL2–tuple-MM) operators to handle MAGDM problems with ULI2–tuple, including the uncertain 2-tuple linguistic Muirhead mean (UL2–tuple-MM) operator, uncertain 2-tuple linguistic weighted Muirhead mean (UL2–tuple-WMM) operator. In addition, we extend UL2–tuple-WMM operator to a new aggregation operator named extended uncertain 2-tuple linguistic weighted Muirhead mean (EUL2–tuple-WMM) operators in order to handle some decision-making problems with ULI2–tuple whose attribute values are expressed in ULI2–tuple and attribute weights are also 2-tuple linguistic information. Whilst, the some properties of these new aggregation operators are obtained and some special cases are discussed. Moreover, we propose a new method to solve the MAGDM problems with ULI2–tuple. Finally, a numerical example is given to show the validity of the proposed method and the advantages of proposed method are also analysed.
|Number of pages||15|
|Journal||International Journal of Computational Intelligence Systems|
|Publication status||Published (in print/issue) - 29 Mar 2019|
Bibliographical noteFunding Information:
This work is supported by National Natural Science Foundation of P.R.China (Grant no. 61673320, 61305074); Sichuan Province Youth Science and Technology Innovation Team (No. 2019JDTD0015); The Application Basic Research Plan Project of Sichuan Province (No.2017JY0199); The Scientific Research Project of Department of Education of Sichuan Province (18ZA0273, 15TD0027); Innovative Research Team of Neijiang Normal University (No. 18TD08).
© 2019 The Authors.
- EUL-WMM operators
- Modified uncertain 2-tuple linguistic representation model