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On hybrid simple ordered hypersemigroups

Nareupanat Lekkoksung|Somsak Lekkoksung|Nuchanat Tiprachot
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2023.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제26권 제2호|pp. 125-140|DOI 10.30948/afmi.2023.26.2.125

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키워드

Hybrid structureOrdered hypersemigroupSimple ordered hypersemigroupHybrid interior hyperideal

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.

Abstract

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.

참고문헌 (43)

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