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Symmetry 2019, 11(1), 31; https://doi.org/10.3390/sym11010031

A Method of Multiple Attribute Group Decision Making Based on 2-Tuple Linguistic Dependent Maclaurin Symmetric Mean Operators

1
,
2,and Yushui Geng 3,* and 3,*
1
School of Information, Qilu University of Technology, Jinan 250353, China
2
School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China
3
Graduate School, Qilu University of Technology, Jinan 250353, China
*
Authors to whom correspondence should be addressed.
Received: 3 December 2018 / Revised: 14 December 2018 / Accepted: 15 December 2018 / Published: 1 January 2019
PDF [982 KB, uploaded 1 January 2019]

Abstract

Aiming at multiple attribute group decision making (MAGDM) problems, especially the attribute values of 2-tuple linguistic numbers and the interrelationships between each attribute needing to be considered, this paper proposes a new method of analysis. Firstly, we developed a few new aggregation operators, like the 2-tuple linguistic dependent weighted Maclaurin symmetric mean (2TLDWMSM) operator, the 2-tuple linguistic dependent weighted generalized Maclaurin symmetric mean (2TLDWGMSM) operator, and the 2-tuple linguistic dependent weighted geometric Maclaurin symmetric mean (2TLDWGeoMSM) operator. In the above operators, Maclaurin symmetric mean (MSM) operators can take the relationships between each attribute into account and dependent operators can mitigate the unfair parameters’ impact on the overall outcome, in which those ‘‘incorrect’’ and ‘‘prejudiced’’ parameters are distributed with low weights. Next, a method used by the 2TLDWMSM, 2TLDWGMSM, and 2TLDWGeoMSM operators for MAGDM is introduced. Finally, there is an explanative example to confirm the proposed approach and explain its availability and usefulness.
Keywords: 2-tuple linguistic information; maclaurin symmetric mean; dependent operator; multiple attribute group decision making 2-tuple linguistic information; maclaurin symmetric mean; dependent operator; multiple attribute group decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Feng, M.; Liu, P.; Geng, Y. A Method of Multiple Attribute Group Decision Making Based on 2-Tuple Linguistic Dependent Maclaurin Symmetric Mean Operators. Symmetry 2019, 11, 31.

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