Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON INTERVAL VALUED INTUITIONISTIC FUZZY HYPERIDEALS OF ORDERED SEMIHYPERGROUPS

  • Lekkoksung, Somsak (Division of Mathematics, Faculty of Engineering Rajamangala University of Technology Isan, Khon Kaen Campus) ;
  • Lekkoksung, Nareupanat (Division of Mathematics, Faculty of Engineering Rajamangala University of Technology Isan, Khon Kaen Campus)
  • Received : 2020.06.07
  • Accepted : 2020.11.10
  • Published : 2020.12.30
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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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Acknowledgement

The authors grateful to the referees for their valuable comments and suggestions for improving the article.

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