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Subalgebras of Sheffer Stroke BCK-Algebras Illuminated by the New Fuzzy Set Environment

Author

Listed:
  • Tahsin Oner

    (Department of Mathematics, Faculty of Science, Ege University, Izmir, 35100, Turkey)

  • Young Bae Jun

    (Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea)

  • Ibrahim Senturk

    (Department of Mathematics, Faculty of Science, Ege University, Izmir, 35100, Turkey)

Abstract

For the purpose of dealing with the subalgebras of Sheer stroke BCK-algebras associated with the YJϱ-fuzzy set, the concept of YJϱ-fuzzy subalgebras in Sheffer stroke BCK-algebras is introduced and the properties involved are investigated. Conditions for creating a YJϱ fuzzy subalgebra from a given fuzzy are explored. The relationship between fuzzy subalgebra and the YJϱ fuzzy subalgebra is discussed, and conditions are given for the YJϱ-fuzzy subalgebra to be a fuzzy subalgebra. The task of creating a new YJϱ-fuzzy subalgebra is established using the given fuzzy subalgebra. Two types of level sets are created and the conditions under which they become subalgebras are explored.

Suggested Citation

  • Tahsin Oner & Young Bae Jun & Ibrahim Senturk, 2025. "Subalgebras of Sheffer Stroke BCK-Algebras Illuminated by the New Fuzzy Set Environment," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 541-556, July.
    • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:02:n:s1793005725500243
    DOI: 10.1142/S1793005725500243
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