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Interval Neutrosophic Multiple Attribute Decision-Making Method with Credibility Information

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Abstract

By considering credibility on every evaluation value of attributes in interval neutrosophic decision making, this paper proposes a credibility-induced interval neutrosophic weighted arithmetic averaging (CIINWAA) operator and a credibility-induced interval neutrosophic weighted geometric averaging (CIINWGA) operator, and investigates their properties. Then, we present a projection measure between interval neutrosophic numbers (INNs) and its ranking method for INNs. Furthermore, a decision-making method is established based on the CIINWAA and CIINWGA operators and the projection measure-based ranking method to handle multiple attribute decision-making problems with interval neutrosophic information and credibility information. Finally, an illustrative example and the comparative analysis are provided to demonstrate the application and effectiveness of the developed approach.

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Acknowledgments

This paper was supported by the National Natural Science Foundation of China (No. 71471172).

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Authors and Affiliations

  1. Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, 312000, Zhejiang, People’s Republic of China

    Jun Ye

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  1. Jun Ye
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Correspondence to Jun Ye.

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Ye, J. Interval Neutrosophic Multiple Attribute Decision-Making Method with Credibility Information. Int. J. Fuzzy Syst. 18, 914–923 (2016). https://doi.org/10.1007/s40815-015-0122-4

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  • DOI: https://doi.org/10.1007/s40815-015-0122-4

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