## The lower and upper approximations in a hypergroup.(English)Zbl 1156.68585

Summary: This paper presents a relationship between rough sets and hypergroup theory. We analyze the lower and upper approximations of a subset, with respect to an invertible subhypergroup and we consider some particular situations. Moreover, the notion of a rough subhypergroup is introduced. Finally, fuzzy rough subhypergroups are introduced and characterized.

### MSC:

 68T30 Knowledge representation 68T37 Reasoning under uncertainty in the context of artificial intelligence 20N20 Hypergroups
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### References:

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