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Interval Neutrosophic Einstein Prioritized Normalized Weighted Geometric Bonferroni Mean Operator and its Application to Multicriteria Decision making

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Abstract

In a real or practical situation, there often exist different priority levels and interactions among the criteria of the MCDM problems. This paper combines the prioritized average operator with the normalized weighted geometric Bonferroni mean operator under the Einstein operational law of interval neutrosophic numbers (INNs) to propose the interval neutrosophic Einstein prioritized normalized weighted geometric Bonferroni mean (INEPNWGBM) operator to deal with the prioritization and correlation among the criteria in the real-life decision making problems. Then, some desired properties of the proposed aggregation operator are discussed. Furthermore, an approach to multicriteria decision making based on the Einstein prioritized normalized weighted geometric Bonferroni mean is developed. Finally, a numerical example is provided to illustrate the proposed approach.

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Acknowledgements

The author like to thanks all the anonymous referees for their valuable comments and suggestions in improving this paper.

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Correspondence to Pankaj Kakati.

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Kakati, P. Interval Neutrosophic Einstein Prioritized Normalized Weighted Geometric Bonferroni Mean Operator and its Application to Multicriteria Decision making. Neural Process Lett 53, 3395–3425 (2021). https://doi.org/10.1007/s11063-021-10553-3

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