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A novel Z-soft rough fuzzy \(\textit{BCI}\)-algebras (ideals) of \(\textit{BCI}\)-algebras

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Abstract

In this paper, the notion of Z-soft rough fuzzy BCI-algebras (ideals) is introduced, which is an extended notion of soft rough BCI-algebras (ideals) and rough fuzzy BCI-algebras (ideals). In this paper, we first apply Z-soft rough fuzzy sets to BCI-algebras. Moreover, we study roughness in BCI-algebras with respects to a Z-soft approximation space. Some new Z-soft rough fuzzy operations over BCI-algebras are explored. In particular, Z-lower and Z-upper soft rough fuzzy BCI-algebras (ideals) are investigated.

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Acknowledgements

This research is partially supported by a grant of National Natural Science Foundation of China (Grant Nos. 11571010 and 61179038).

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Correspondence to Bao Qing Hu.

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The authors declare that they have no conflict of interest.

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Communicated by A. Di Nola.

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Zhu, K.Y., Hu, B.Q. A novel Z-soft rough fuzzy \(\textit{BCI}\)-algebras (ideals) of \(\textit{BCI}\)-algebras. Soft Comput 22, 3649–3662 (2018). https://doi.org/10.1007/s00500-017-2816-z

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  • DOI: https://doi.org/10.1007/s00500-017-2816-z

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