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Double Fuzzy Ideal Multifunctions

Author

Listed:
  • M. N. Abu_Shugair

    (Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
    Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • A. A. Abdallah

    (Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia)

  • S. E. Abbas

    (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • E. El-Sanowsy

    (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Ismail Ibedou

    (Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt)

Abstract

In this paper, we introduce the notion of p , q -fuzzy local function and DF-ideal topological space. Also, we introduce the concepts DFU-ð-continuous and DFL-ð-continuous, almost ð-continuous, weakly ð-continuous and almost weakly ð-continuous multifunctions. Several properties and characterizations of the introduced multifunctions and types of continuity are established. Some examples are given to explain the correct implications between these notions.

Suggested Citation

  • M. N. Abu_Shugair & A. A. Abdallah & S. E. Abbas & E. El-Sanowsy & Ismail Ibedou, 2024. "Double Fuzzy Ideal Multifunctions," Mathematics, MDPI, vol. 12(8), pages 1-17, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:8:p:1128-:d:1372630
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    References listed on IDEAS

    as
    1. Fatimah M. Mohammed & M. S. M. Noorani & A. Ghareeb, 2014. "Somewhat Slightly Generalized Double Fuzzy Semicontinuous Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-7, June.
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