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Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information

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Abstract

In this paper, we propose two new three-way decision models based on decision-theoretic rough sets with single-valued neutrosophic information. These two models adopt different ranking methods, one of which is the ranking method based on cosine similarity measure. The other is the ranking method based on Euclidean distance. The key steps of the proposed models were shown by an algorithm and we present the breakfast shop siting problem to demonstrate the rationality and practicability of the proposed models. Finally, we make comparison analysis between the two models, and compare our models with other existing related models.

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Acknowledgements

The authors would wish to thank the anonymous referees and editors for their valuable comments and helpful suggestions which have helped improve this paper significantly. This work is supported by the NNSF of China (Nos. 61473181 and 11771263) and the Fundamental Research Funds for the Central Universities (No. GK201702008).

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, People’s Republic of China

    Li Jiao, Hai-Long Yang & Sheng-Gang Li

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  1. Li Jiao
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  2. Hai-Long Yang
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  3. Sheng-Gang Li
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Correspondence to Hai-Long Yang.

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Jiao, L., Yang, HL. & Li, SG. Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information. Int. J. Mach. Learn. & Cyber. 11, 657–665 (2020). https://doi.org/10.1007/s13042-019-01023-3

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