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Hesitant fuzzy rough set over two universes and its application in decision making

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Abstract

In this paper, we propose a general decision-making framework based on the HF rough set model over two universes. By a constructive approach, the HF rough set model over two universes is first presented and some properties of this model are further discussed. The union, the intersection and the composition of hesitant fuzzy approximation spaces are proposed, and some properties are also investigated. We then give a new approach of decision making in uncertainty environment using the hesitant fuzzy rough sets over two universes. Finally, two practical applications are provided to illustrate the validity of this approach.

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Acknowledgments

The authors would like to thank the anonymous referees for their valuable comments and suggestions. This work was supported by the National Natural Science Foundation of China (No. 71261022).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Haidong Zhang & Lan Shu

  2. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, 730030, Gansu, People’s Republic of China

    Shilong Liao

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  1. Haidong Zhang
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  2. Lan Shu
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  3. Shilong Liao
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Correspondence to Haidong Zhang.

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The authors declare that they have no conflict of interest.

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Communicated by V. Loia.

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Zhang, H., Shu, L. & Liao, S. Hesitant fuzzy rough set over two universes and its application in decision making. Soft Comput 21, 1803–1816 (2017). https://doi.org/10.1007/s00500-015-1882-3

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