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PROMETHEE II method based on variable precision fuzzy rough sets with fuzzy neighborhoods

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Abstract

The model of covering-based fuzzy rough sets (CFRSs) can be regarded as a hybrid one by combining covering-based rough sets with fuzzy sets. In this paper, based on fuzzy neighborhoods, we propose two types of covering-based variable precision fuzzy rough sets (CVPFRSs) via fuzzy logical operators, i.e., type-I CVPFRSs and type-II CVPFRSs. Then, several basic properties of the two types of CVPFRSs are discussed. In addition, by virtue of the idea of PROMETHEE II methods, we construct a novel method to multi-attribute decision-making (MADM) in the context of medical diagnosis based on the proposed rough approximation operators. Finally, a test example for illustrating the proposed method is given. Meanwhile, a comparative analysis and an experimental evaluation are further discussed to interpret and evaluate the effectiveness and superiority of the proposed method. The proposed rough set model not only extends the theory of CFRSs, but also provides a new perspective for MADM with fuzzy evaluation information.

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Acknowledgements

The authors are extremely grateful to the editors and two reviewers for their valuable comments and helpful suggestions which helped to improve the presentation of this paper. This research is partially supported by NNSFC (11961025; 61866011; 11461025; 11561023).

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Authors and Affiliations

  1. Department of Mathematics, Hubei Minzu University, Enshi, 445000, People’s Republic of China

    Haibo Jiang & Jianming Zhan

  2. Department of Mathematics and Physical, North China Electric Power University, Beijing, 102206, People’s Republic of China

    Degang Chen

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  1. Haibo Jiang
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  2. Jianming Zhan
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  3. Degang Chen
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Correspondence to Jianming Zhan.

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Jiang, H., Zhan, J. & Chen, D. PROMETHEE II method based on variable precision fuzzy rough sets with fuzzy neighborhoods. Artif Intell Rev 54, 1281–1319 (2021). https://doi.org/10.1007/s10462-020-09878-7

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