초록

Hybrid structures, which combine soft sets and fuzzy sets, offer a valuable approach to studying ordered hypersemigroups by utilizing hybrid hyperideals. In this paper, we propose the concept of hybrid interior hyperideals in ordered hypersemigroups. Additionally, we investigate a specific subset of an ordered hypersemigroup and establish its relationship with a hybrid hyperideal. Furthermore, we introduce the notion of hybrid simple ordered hypersemigroups and explore their connection to simple ordered hypersemigroups. To conclude, we characterize simple ordered hypersemigroups in terms of hybrid interior hyperideals.

키워드

Ordered hypersemigroup, Simple ordered hypersemigroup, Hybrid structure, Hybrid interior hyperideal

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