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

Somsak Lekkoksung, Nareupanat Lekkoksung


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.


interval value intuitionistic fuzzy sets; interval value intuitionistic fuzzy hyperideals; ordered semihypergroups

Subject classification

20N20; 20M17; 20M99


National Research Council of Thailand: NRCT

Full Text:



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