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Fuzzy soft covering-based multi-granulation fuzzy rough sets and their applications

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Abstract

In this paper, with the aid of fuzzy soft \(\beta \)-neighborhoods, we introduce fuzzy soft covering-based multi-granulation fuzzy rough set models. We examine some of the relevant properties of fuzzy soft covering based on optimistic, pessimistic, and variable precision multi-granulation fuzzy rough set models. Then, we give fuzzy soft coverings based on \(\psi \)-optimistic and \({\mathscr {D}}\)-optimistic (\(\psi \)-pessimistic and \({\mathscr {D}}\)-pessimistic) multi-granulation fuzzy rough sets from fuzzy soft measures. It also discusses the interactions between these forms of fuzzy soft coverings based on multi-granulation fuzzy rough sets. Eventually, we apply the proposed models for solving MAGDM problems. The effectiveness and feasibility of our approach are noted from the introduced comparisons between our method and some methods given in the previous studies.

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Acknowledgements

The authors would like to thank the editor and the referees for their valuable comments which help us to improve the manuscript.

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Correspondence to Tareq M. Al-shami.

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Communicated by Anibal Tavares de Azevedo.

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Atef, M., Ali, M.I. & Al-shami, T.M. Fuzzy soft covering-based multi-granulation fuzzy rough sets and their applications. Comp. Appl. Math. 40, 115 (2021). https://doi.org/10.1007/s40314-021-01501-x

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