## Journal of Applied Mathematics

### On Rough Hyperideals in Hyperlattices

#### Abstract

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.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 915217, 10 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394808087

Digital Object Identifier
doi:10.1155/2013/915217

Mathematical Reviews number (MathSciNet)
MR3090623

Zentralblatt MATH identifier
06950934

#### Citation

He, Pengfei; Xin, Xiaolong; Zhan, Jianming. On Rough Hyperideals in Hyperlattices. J. Appl. Math. 2013 (2013), Article ID 915217, 10 pages. doi:10.1155/2013/915217. https://projecteuclid.org/euclid.jam/1394808087

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