Uni-Soft Structures Applied to Ordered Gamma-Semihypergroups

摘要

In this paper, the notions of uni-soft sub Gamma - semihypergroups, uni-soft left (resp., right) Gamma-hyperideals and uni-soft interior Gamma-hyperideals of ordered Gamma-semihypergroups are introduced. We introduce the notion of unisoft simple ordered Gamma-semihypergroups. Furthermore, we characterize uni-soft simple ordered Gamma-semihypergroups in terms of these notions.