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Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras

Author

Listed:
  • Young Joo Seo

    (Department of Mathematics, Daejin University, Pochen 11159, Korea)

  • Hee Sik Kim

    (Research Institute for Natural Sci., Department of Mathematics, Hanyang University, Seoul 04763, Korea)

  • Young Bae Jun

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

  • Sun Shin Ahn

    (Department of Mathematics, Dongguk University, Seoul 04620, Korea)

Abstract

In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of a k -polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a multipolar intuitionistic fuzzy set of finite degree to a hyper BCK-algebra. The notions of the k -polar intuitionistic fuzzy hyper BCK-ideal, the k -polar intuitionistic fuzzy weak hyper BCK-ideal, the k -polar intuitionistic fuzzy s -weak hyper BCK-ideal, the k -polar intuitionistic fuzzy strong hyper BCK-ideal and the k -polar intuitionistic fuzzy reflexive hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These concepts are discussed in connection with the k -polar lower level set and the k -polar upper level set.

Suggested Citation

  • Young Joo Seo & Hee Sik Kim & Young Bae Jun & Sun Shin Ahn, 2020. "Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras," Mathematics, MDPI, vol. 8(8), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1373-:d:399729
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    References listed on IDEAS

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    1. Muhammad Akram & Musavarah Sarwar, 2018. "New Applications of m-Polar Fuzzy Competition Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 249-276, July.
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