Fuzzy \((m, n)\)-Ideals and \(n\)-Interior Ideals in Ordered Semigroups

Authors

  • Pannawit Khramrot Department of Mathematics, Faculty of Science and Agricultural Technology,  Rajamangala University of Technology Lanna of Phitsanulok, Phitsanulok, Thailand
  • Aiyared Iampan Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
  • Thiti Gaketem Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand https://orcid.org/0000-0002-6267-8517

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5596

Keywords:

fuzzy $(m, n)$-ideals, fuzzy $n$-interior ideals, regular ordered semigroups

Abstract

In 2019, Ahsan et al. developed the concept of fuzzy \((m, n)\)-ideals in semigroups. Later, in 2022 Tiprachot studied \(n\)-interior ideals in ordered semigroups, which is a generalization of fuzzy ideals and interior ideals in semigroups. The aim of this paper is to study the concept of fuzzy \((m, n)\)-ideals and \(n\)-interior ideals in ordered semigroups and investigate the properties of fuzzy \((m, n)\)-ideals and \(n\)-interior ideals.

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Pannawit Khramrot, Aiyared Iampan, Thiti Gaketem

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How to Cite

Fuzzy \((m, n)\)-Ideals and \(n\)-Interior Ideals in Ordered Semigroups. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5596. https://doi.org/10.29020/nybg.ejpam.v18i1.5596