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An extension of the ELECTRE approach with multi-valued neutrosophic information

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Abstract

In this paper, an extension Elimination and Choice Translating Reality (ELECTRE) method is introduced to handle multi-valued neutrosophic multi-criteria decision-making (MCDM) problems. First of all, some outranking relations for multi-valued neutrosophic numbers (MVNNs), which are based on traditional ELECTRE methods, are defined, and several properties are analyzed. In the next place, an outranking method to deal with MCDM problems similar to ELECTRE III, where weights and data are in the form of MVNNs, is developed. At last, an example is provided to demonstrate the proposed approach and testify its validity and feasibility. This study is supported by the comparison analysis with other existing methods.

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Acknowledgments

The authors thank the editors and anonymous reviewers for their helpful comments and suggestions. This work is supported by the National Natural Science Foundation of China (Nos. 71571193 and 71401185), the Humanities and Social Sciences Foundation of Ministry of Education of China (No. 15YJCZH127), and the Humanities and Social Science Foundation of Hubei Province (No. 15Q130).

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Correspondence to Jian-qiang Wang.

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Peng, Jj., Wang, Jq. & Wu, Xh. An extension of the ELECTRE approach with multi-valued neutrosophic information. Neural Comput & Applic 28 (Suppl 1), 1011–1022 (2017). https://doi.org/10.1007/s00521-016-2411-8

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