Korean J. Math. Vol. 28 No. 4 (2020) pp.753-774
DOI: https://doi.org/10.11568/kjm.2020.28.4.753

On interval valued intuitionistic fuzzy hyperideals of ordered semihypergroups

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Published: Dec 30, 2020
Keywords:
interval value intuitionistic fuzzy sets, interval value intuitionistic fuzzy hyperideals, ordered semihypergroups
Mathematics Subject Classification:
20N20, 20M17, 20M99

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Somsak Lekkoksung
Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus, Khon Kaen 40000, Thailand
Nareupanat Lekkoksung
Development and Promotion of Science and Technology Talents Project, 924 Sukhumvit Road, Phra Khanong District, Khlong Toei, 10110 Bangkok, Thailand

Abstract

We introduce the notion of interval valued intuitionistic fuzzy hyperideals, bi-hyperideals and quasi-hyperideals of an ordered semihypergroup. We characterize an interval valued intuitionistic fuzzy hyperideal of an ordered semihypergroup in terms of its level subset. Moreover, we show that interval valued intuitionistic fuzzy bi-hyperideals and quasi-hyperideals coincide only in a particular class of ordered semihypergroups. Finally, we show that every interval valued intuitionistic fuzzy quasi-hyperideal is the intersection of an interval valued intuitionistic fuzzy left hyperideal and an interval valued intuitionistic fuzzy right hyperideal.



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Supporting Agencies

National Research Council of Thailand NRCT

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