Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic
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-Spherical Fuzzy Sets
Authors: Naz Sumera , Akram Muhammad , Muhiuddin G. , Shafiq Aqsa 
Published: July 2022

The coronavirus (COVID-19) pandemic, which began in China and is fast spreading around the world, has increased the number of cases and deaths. Governments have suffered substantial damage and losses not only in the health sector but also in a variety of other areas. In this situation, it is critical to determine the most crucial vaccine that doctors and specialists should implement. In order to evaluate the many vaccines to control the COVID-19 epidemic, a decision problem based on the decisions of many experts, with some contradicting and multiple criteria, should be taken into account. This decision process is characterized as a multiattribute group decision-making (MAGDM) problem that includes uncertainty in this study.

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-spherical fuzzy sets are utilized for this, allowing decision-experts to make evaluations over a larger area and better deal with complicated data. The

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-spherical fuzzy set is a useful tool for dealing with uncertainty and ambiguity, especially where additional answers of the type “yes,” “no,” “abstain,” and “refusal” are required, and the 2-tuple linguistic terms are useful for the qualitative evaluation of uncertain data. From the perspective of the uncertainty surrounding the problems of MAGDM, we propose the notion of 2-tuple linguistic

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-spherical fuzzy numbers (2TL

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-SFNs) generated with the integration of

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-spherical fuzzy numbers and 2-tuple linguistic terms. Then, the assessment based on distance from average solution (EDAS) for the ranking of alternatives based on the 2TL

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-SFNs is investigated as a new decision-making strategy. This study provides the following significant contributions: (1) the procedure for constructing a 2TL

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-SFNs is described, together with their aggregation operators, ranking criteria, relevant attributes, and some operational laws. (2) The traditional Maclaurin symmetric mean (MSM) operator is useful for modeling attribute interrelationships and aggregating 2TL

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-SF information to tackle the MAGDM problems. A few recent MSM and dual MSM operators are being built to evaluate the 2TL

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-SF information. Thus, 2-tuple linguistic

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-spherical fuzzy Maclaurin symmetric mean (2TL

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-SFMSM) operator, 2-tuple linguistic

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-spherical fuzzy weighted Maclaurin symmetric mean (2TL

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-SFWMSM) operator, 2-tuple linguistic

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-spherical fuzzy dual Maclaurin symmetric mean (2TL

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-SFDMSM) operator, and 2-tuple linguistic

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-spherical fuzzy weighted dual Maclaurin symmetric mean (2TL

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-SFWDMSM) operator are proposed. (3) We incorporate the 2TL

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-SFNs into the EDAS approach and develop a new 2TL

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-SF-EDAS method for solving the MAGDM problems based on the proposed aggregation operators in a 2TL

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-SF environment. A case study for the selection of an optimal vaccine to control the outbreak of the COVID-19 epidemic is also presented to show the validity of the proposed methodology. Furthermore, the comparative analysis with existing approaches shows the advantages and superiority of the proposed framework.