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Near semihypergroups on nearness approximation spaces

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Abstract

Near sets can be interpreted as a generalization of Pawlak/classical rough sets. In this paper, we combine the notions of near sets and semihypergroups. We introduce the concept of near semihypergroup on nearness approximation spaces. We initiate the study of near subsemihypergroups, near hyperideals, near prime (semiprime) hyperideals, and near homomorphism. Also, we give some properties of them.

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Acknowledgements

The authors are highly grateful to referees, and Professor J.F. Peters, for their valuable comments and suggestions for improving the paper.

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This study did not receive any funding in any form.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Yazd University, Yazd, Iran

    M. Mostafavi & B. Davvaz

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  1. M. Mostafavi
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  2. B. Davvaz
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Correspondence to B. Davvaz.

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Communicated by Davide Ciucci.

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Mostafavi, M., Davvaz, B. Near semihypergroups on nearness approximation spaces. Comp. Appl. Math. 42, 344 (2023). https://doi.org/10.1007/s40314-023-02488-3

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  • DOI: https://doi.org/10.1007/s40314-023-02488-3

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