FUZZY INTERIOR HYPERIDEALS IN ORDERED SEMIHYPERGROUPS

Authors

  • Nuchanat Tipachot Khon Kaen University - Department of Mathematics
  • Bundit Pibaljommee Khon Kaen University - Department of Mathematics

Keywords:

ordered semihypergroup, interior hyperideal, fuzzy interior hyperideal, regular ordered semihypergroup, intra-regular ordered semihypergroup, simple ordered semihypergroup

Abstract

We introduce the notions of an interior hyperideal and a fuzzy interior hyperideal of an ordered semihypergroup.  Then, we present a characterization of an interior hyperideal in terms of fuzzy interior hyperideals.  The notion of an intra-regular ordered semihypergroup is introduced.  Then, we show that fuzzy interior hyperideals and fuzzy hyperideals coincide in regular ordered semihypergroups and intra-regular ordered semihypergroups.  Finally, we give the concept of a simple ordered semihypergroup and characterize simple ordered semihypergroups by means of fuzzy hyperideals and fuzzy interior hyperideals.

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Published

2016-07-29

How to Cite

Tipachot, N., & Pibaljommee, B. (2016). FUZZY INTERIOR HYPERIDEALS IN ORDERED SEMIHYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 36, 859–870. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6476

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Nuchanat Tipachot, Bundit Pibaljommee

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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