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Intuitionistic fuzzy ideals of BCK-algebras

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  • Young Bae Jun
  • Kyung Ho Kim

Abstract

We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.

Suggested Citation

  • Young Bae Jun & Kyung Ho Kim, 2000. "Intuitionistic fuzzy ideals of BCK-algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:307470
    DOI: 10.1155/S0161171200004610
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    Cited by:

    1. Pavle Milošević & Bratislav Petrović & Ivana Dragović, 2021. "A Novel Approach to Generalized Intuitionistic Fuzzy Sets Based on Interpolative Boolean Algebra," Mathematics, MDPI, vol. 9(17), pages 1-21, September.
    2. Young Bae Jun & Eun Hwan Roh & Mehmet Ali Öztürk, 2018. "Positive Implicative Ideals of BCK -Algebras Based on Intuitionistic Falling Shadows," Mathematics, MDPI, vol. 6(9), pages 1-16, August.
    3. Young Bae Jun & Seok-Zun Song & Kyoung Ja Lee, 2018. "Intuitionistic Falling Shadow Theory with Applications in BCK / BCI -Algebras," Mathematics, MDPI, vol. 6(8), pages 1-9, August.

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