International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups

  • Warud Nakkhasen1*
  • Ronnason Chinram
  • Aiyared Iampan
  1. a:1:{s:5:"en_US";s:70:"Department of Mathematics, Faculty of Science, Mahasarakham University";}

* Corresponding author

Abstract

In this paper, we concentrate on studying the generalization of almost interior Γ-hyperideals in ordered Γ-semihypergroups. The notion of weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups is introduced. This concept generalizes the notion of almost interior Γ-hyperideals in ordered Γ-semihypergroups. Then, the characterization of ordered Γ-semihypergroups having no proper weakly almost interior Γ-hyperideals is provided. Next, we introduce the concept of fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups. Also, some properties of fuzzy weakly almost interior Γ-hyperideals are considered. Moreover, the concepts of weakly almost interior Γ-hyperideals and fuzzy weakly almost interior Γ-hyperideals of ordered Γ-semihypergroups are characterized. The connections between strongly prime (resp., prime, semiprime) weakly almost interior Γ-hyperideals and fuzzy strongly prime (resp., prime, semiprime) weakly almost interior Γ-hyperideals in ordered Γ-semihypergroups are presented.

How to Cite

W. Nakkhasen, R. Chinram, A. Iampan, On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups, Int. J. Anal. Appl. 21 (2023), 77. https://doi.org/10.28924/2291-8639-21-2023-77

BibTeX
@article{Nakkhasen2023,
  author  = {Nakkhasen, Warud and Chinram, Ronnason and Iampan, Aiyared},
  title   = {On (Fuzzy) Weakly Almost Interior Γ-Hyperideals in Ordered Γ-Semihypergroups},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {77},
  doi     = {10.28924/2291-8639-21-2023-77}
}

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