Rough Hyperfilters in Po-LA-Semihypergroups

الملخص EN

This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect.

Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup.

We define the concept of rough hyperfilters and provide useful examples on it.

A rough hyperfilter is a novel extension of hyperfilter of an ordered LA-semihypergroup.

We prove that the lower approximation of a left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup becomes left (resp., right, bi) hyperfilter of an ordered LA-semihypergroup.

Similarly we prove it for upper approximation.