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An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets

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Abstract

In this paper, a novel outranking approach for multi-criteria decision-making (MCDM) problems is proposed to address situations where there is a set of numbers in the real unit interval and not just a specific number with a neutrosophic set. Firstly, the operations of interval neutrosophic sets and their related properties are introduced. Then some outranking relations for interval neutrosophic numbers (INNs) are defined based on ELECTRE IV, and the properties of the outranking relations are further discussed in detail. Additionally, based on the outranking relations of INNs, a ranking approach is developed in order to solve MCDM problems. Finally, two practical examples are provided to illustrate the practicality and effectiveness of the proposed approach. Moreover, a comparison analysis based on the same examples is also conducted.

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Acknowledgments

This work was partly supported by Humanities and Social Sciences Foundation of Ministry of Education of China (No. 11YJCZH227) and the National Natural Science Foundation of China (Nos. 71221061 and 71210003). The authors also would like to express appreciation to the anonymous reviewers and editors for their helpful comments that improved the paper.

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  1. School of Business, Central South University, Changsha, 410083, China

    Hongyu Zhang, Jianqiang Wang & Xiaohong Chen

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  1. Hongyu Zhang
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Correspondence to Jianqiang Wang.

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Zhang, H., Wang, J. & Chen, X. An outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets. Neural Comput & Applic 27, 615–627 (2016). https://doi.org/10.1007/s00521-015-1882-3

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