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.
Highlights
The problem with multiple attribute group decision making (MAGDM) is that a group of experts convey their judgements based on predefined options and choose the best one, which is a significant sector in decision theory
Some methods and aggregation operators are investigated on the basis of linguistic variables for handling linguistic information, which is very helpful for processing linguistic multiple attribute decision making (MADM) problems
The dependent aggregation operators can mitigate the impact of unjust parameters on the overall outcomes, in which those “incorrect” and “prejudiced” parameters are distributed with low weights
Summary
The problem with multiple attribute group decision making (MAGDM) is that a group of experts convey their judgements based on predefined options and choose the best one, which is a significant sector in decision theory. Wei and Zhao [22] developed several dependent ordered weighted operators with 2-tuple and Liu [23] proposed some generalized dependent operators, in which the linked weights merely rely on the aggregated input parameters. There is limited research on the MAGDM method based on 2-tuple linguistic dependent MSM operators. If the MSM operator is used to process 2-tuple linguistic information and the dependent operator is used to calculate weight, the final decision result will be more accurate and objective. The conclusions and directions of further researches are proposed
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