CHARACTERIZATIONS OF ORDERED SEMIHYPERGROUPS BASED ON ORDERED FUZZY POINTS

Abstract

In this paper, we introduce the concepts of quasi-prime and quasi-semiprime fuzzy left hyperideals of ordered semihypergroups, and investigate their related properties.  Furthermore, we give some characterizations of strongly semisimple ordered semihypergroups in terms of ordered fuzzy points and fuzzy left hy-perideals.  Especially, we prove that an ordered semihypergroup S is strongly semisimple if and only if every fuzzy left hyperideal of S can be expressed as the intersection of all quasi-prime fuzzy left hyperideals of S containing it.