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Multipolar fuzzy a-ideals in BCI-algebras

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Abstract

The notion of an m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between m-polar fuzzy subalgebra, m-polar fuzzy ideal, and m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is examined. Conditions for an m-polar fuzzy ideal to be an m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal are provided. The relationship between m-polar \((\in ,\) \(\in )\)-fuzzy p-ideal, m-polar \((\in ,\) \(\in )\)-fuzzy q-ideal, and m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is shown. The normal m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of an m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal are discussed.

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Acknowledgements

The authors are grateful to the anonymous referees for a careful checking of the details and for helpful comments that improved this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematics Sciences, Shahid Beheshti University, Tehran, 1983963113, Iran

    Rajab Ali Borzooei

  2. Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

    Gholam Reza Rezaei & Young Bae Jun

  3. Department of Mathematics, University of Tabuk, Tabuk, 71491, Saudi Arabia

    G. Muhiuddin

  4. Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea

    Young Bae Jun

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  1. Rajab Ali Borzooei
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  2. Gholam Reza Rezaei
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  3. G. Muhiuddin
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  4. Young Bae Jun
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Correspondence to G. Muhiuddin.

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Borzooei, R.A., Rezaei, G.R., Muhiuddin, G. et al. Multipolar fuzzy a-ideals in BCI-algebras. Int. J. Mach. Learn. & Cyber. 12, 2339–2348 (2021). https://doi.org/10.1007/s13042-021-01314-8

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