Almost (m, n)-quasi-ideals and Fuzzy almost (m, n)-quasi-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
  • Paramaphon Chaisuwan Department of Mathematics, School of Education, University of Phayao, Phayao, Thailand
  • Panara Keawton Department of Mathematics, School of Education, University of Phayao, Phayao, Thailand
  • Chadarat Wangsamphao Department of Mathematics, School of Education, University of Phayao, Phayao, Thailand
  • Thiti Gaketem University of Phayao https://orcid.org/0000-0002-6267-8517

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5837

Keywords:

ordered almost (m; n)-quasi-ideal, fuzzy ordered almost (m; n)-quasi- ideal, ordered semigroups

Abstract

The ordered semigroups are algebraic systems consisting of a non-empty set, an associative binary operation, and a partial order compatible with this binary operation. Grosek and Stako studied almost ideals in semigroups in 1980. In 2019 S. Suebsung et al. studied almost (m; n)-ideals in semigroups. Later, in 2022, S. Suebsung et al. introduced almost ideals in ordered semigroups. This paper aims to de ne almost (m; n)-quasi-ideals and fuzzy almost (m; n)-quasi-ideals in ordered semigroups. We prove the union of almost (m; n)-quasi-ideals, including almost (m; n)-quasi-ideals in ordered semigroups. In class, fuzzications are the same. Finally, we connect relation almost (m; n)-quasi-ideals and fuzzy almost (m; n)-quasi-ideals in ordered semigroups.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical and Fuzzy Logic

License

Copyright (c) 2025 Pannawit Khramrot, Paramaphon Chaisuwan, Panara Keawton, Chadarat Wangsamphao, Thiti Gaketem

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How to Cite

Almost (m, n)-quasi-ideals and Fuzzy almost (m, n)-quasi-ideals in Ordered Semigroups. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5837. https://doi.org/10.29020/nybg.ejpam.v18i2.5837