On Rough Hyperideals in Hyperlattices

الملخص EN

We introduce and study rough hyperideals in hyperlattices.

First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices.

Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices.

In addition, we consider rough hyperideals in Cartesian products and quotients of hyperlattices.

Finally, we investigate some properties about homomorphic images of rough hyperideals in hyperlattices.