A STUDY ON FUZZY INTERIOR HYPERIDEALS IN ORDERED SEMIHYPERGROUPS

Authors

  • Jian Tang Lanzhou University - School of Mathematics and Statistics
  • Bijan Davvaz Yazd University - Department of Mathematics
  • Yanfeng Luo Lanzhou University - School of Mathematics and Statistics

Keywords:

ordered semihypergroup, ordered fuzzy point, interior hyperideal, fuzzy interior hyperideal, normal fuzzy interior hyperideal

Abstract

In this paper, we first introduce the concept of fuzzy interior hyperideals of an ordered semihypergroup S by the ordered fuzzy points of S, and investigate its related properties.  In particular, we give the characterization of fuzzy interior hyperideal generated by a fuzzy subset in an ordered semihypergroup.  Furthermore, the idea of normal fuzzy interior hyperideals in ordered semihypergroups is given and several related characterization theorems are provided.  Finally, some new characterizations of semisimple ordered semihypergroups by the properties of fuzzy interior hyperideals are given.

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Published

2016-07-29

How to Cite

Tang, J., Davvaz, B., & Luo, Y. (2016). A STUDY ON FUZZY INTERIOR HYPERIDEALS IN ORDERED SEMIHYPERGROUPS. Italian Journal of Pure and Applied Mathematics, 36, 125–146. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6649

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Jian Tang, Bijan Davvaz, Yanfeng Luo

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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