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Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI -Algebras

Author

Listed:
  • Ghulam Muhiuddin

    (Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia)

  • Madeline Al-Tahan

    (Department of Mathematics and Statistics, Abu Dhabi University, Abu Dhabi P.O. Box 15551, United Arab Emirates)

  • Ahsan Mahboob

    (Department of Mathematics, Madanapalle Institute of Technology & Science, Madanapalle 517325, India)

  • Sarka Hoskova-Mayerova

    (Department of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 662 10 Brno, Czech Republic)

  • Saba Al-Kaseasbeh

    (Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan)

Abstract

In this paper, we apply the concept of linear Diophantine fuzzy sets in B C K / B C I -algebras. In this respect, the notions of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are introduced and some vital properties are discussed. Additionally, characterizations of linear Diophantine fuzzy subalgebras and linear Diophantine fuzzy (commutative) ideals are considered. Moreover, the associated results for linear Diophantine fuzzy subalgebras, linear Diophantine fuzzy ideals and linear Diophantine fuzzy commutative ideals are obtained.

Suggested Citation

  • Ghulam Muhiuddin & Madeline Al-Tahan & Ahsan Mahboob & Sarka Hoskova-Mayerova & Saba Al-Kaseasbeh, 2022. "Linear Diophantine Fuzzy Set Theory Applied to BCK/BCI -Algebras," Mathematics, MDPI, vol. 10(12), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2138-:d:842620
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    References listed on IDEAS

    as
    1. Kyung Tae Kang & Seok-Zun Song & Young Bae Jun, 2020. "Multipolar Intuitionistic Fuzzy Set with Finite Degree and Its Application in BCK/BCI-Algebras," Mathematics, MDPI, vol. 8(2), pages 1-16, February.
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    Cited by:

    1. Madeleine Al-Tahan & Sarka Hoskova-Mayerova & Saba Al-Kaseasbeh & Suha Ali Tahhan, 2023. "Linear Diophantine Fuzzy Subspaces of a Vector Space," Mathematics, MDPI, vol. 11(3), pages 1-9, January.

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