Picture Fuzzy Modal Ideal Multifunctions

Authors

  • D.L. Shi Gugangzhou College of Technology and Business, China
  • M.N. Abu_Shugair Mathematics Department, College of Science, Jazan University, Jazan 45142, Saudi Arabia
  • S. E. Abbas Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
  • Ismail Ibedou Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5956

Keywords:

picture fuzzy multifunction, picture fuzzy modal topology, picture fuzzy operator

Abstract

This paper introduces the notion of a picture fuzzy modal topological structures (PFMTSs) via ideal. These structures are grounded on novel picture fuzzy topological operators for closure and interior types, utilizing the two standard picture fuzzy modal operators $\square $ and $\Diamond $. The paper discusses several fundamental properties of picture fuzzy multifunctions PFMs via ideals. The results indicate that some properties considered satisfactory in the intuitionistic fuzzy modal topological structures, as defined by Atanassov in 2022, are not fulfilled. Also, we introduce many types of continuous multifunctions between picture fuzzy ideal topological spaces

Author Biographies

  • D.L. Shi, Gugangzhou College of Technology and Business, China

    Professor in Gugangzhou College of Technology and Business, China

  • M.N. Abu_Shugair, Mathematics Department, College of Science, Jazan University, Jazan 45142, Saudi Arabia

    Dr. in Mathematics Department, College of Science, Jazan University, Jazan 45142, Saudi Arabia

  • S. E. Abbas, Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

    Professor in Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Topology

License

Copyright (c) 2025 D.L. Shi, M.N. Abu_Shugair, S. E. Abbas, Ismail Ibedou

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How to Cite

Picture Fuzzy Modal Ideal Multifunctions. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5956. https://doi.org/10.29020/nybg.ejpam.v18i2.5956