Roughness in Non-Associative Po-Semihypergroups Based on Pseudohyperorder Relations
Jianming Zhan, Naveed Yaqoob and Madad Khan
In this paper, we consider an ordered LA-semihypergroup and discuss its roughness. In particular, we study some properties of rough hyperideals, rough bi-hyperideals and rough quasi-hyperideals in ordered LA-semihypergroups using the pseudohyperorder relations. Finally, we investigate the idea of direct product of sub LA-semihypergroups and prove some results in this regard.
Keywords: Ordered LA-semihypergroup; rough set; rough hyperideal; pseudohyperorder relation.
Mathematics Subject Classification: 20M10, 20N20.