Journal
GROUP DECISION AND NEGOTIATION
Volume 25, Issue 1, Pages 103-126Publisher
SPRINGER
DOI: 10.1007/s10726-015-9434-x
Keywords
Generalized aggregation operators; 2-Dimension uncertain linguistic information; Multiple attribute decision making
Categories
Funding
- National Natural Science Foundation of China [71271124, 71471172]
- national soft science research project [2014GXQ4D192]
- Natural Science Foundation of Shandong Province [ZR2011FM036]
- Shandong Provincial Social Science Planning Project [13BGLJ10]
- Graduate education innovation projects in Shandong Province [SDYY12065]
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With respect to the multiple attribute decision making problems in which the attribute values take the form of the 2-dimension uncertain linguistic information, a new method based on the generalized hybrid operators is proposed. Firstly, the definition, properties, expectations and ranking method of 2-dimension uncertain linguistic information are introduced, and the operational laws the 2-dimension uncertain linguistic information are defined. Then some aggregation operators, including 2-dimension uncertain linguistic generalized weighted average operator, 2-dimension uncertain linguistic generalized ordered weighted average operator, and 2-dimension uncertain linguistic generalized hybrid weighted average operator, are developed, and some properties and special cases of them are also discussed. Finally, these operators are applied to multi-criteria decision making and an illustrative example is given to verify the developed approach and to demonstrate its effectiveness.
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