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Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras

Author

Listed:
  • Anas Al-Masarwah
  • Abd Ghafur Ahmad
  • G. Muhiuddin
  • D. Al-Kadi
  • Feng Feng

Abstract

This study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras. In this paper, we define the idea of m-polar fuzzy positive implicative ideals in BCK-algebras and investigate some related properties. Then, we introduce the concepts of m-polar ∈,∈∨q-fuzzy positive implicative ideals and m-polar ∈¯,∈¯∨q¯-fuzzy positive implicative ideals in BCK-algebras as a generalization of m-polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered.

Suggested Citation

  • Anas Al-Masarwah & Abd Ghafur Ahmad & G. Muhiuddin & D. Al-Kadi & Feng Feng, 2021. "Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, February.
    • Handle: RePEc:hin:jjmath:6610009
    DOI: 10.1155/2021/6610009
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    Cited by:

    1. Manivannan Balamurugan & Nazek Alessa & Karuppusamy Loganathan & Neela Amar Nath, 2023. "( ∈ ´ , ∈ ´ ∨ q ´ k ˇ )-Uni-Intuitionistic Fuzzy Soft h-Ideals in Subtraction BG-Algebras," Mathematics, MDPI, vol. 11(10), pages 1-15, May.

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