Multifunctions between Temporal Picture Fuzzy Ideal Structures

Authors

  • D.L. Shi Gugangzhou College of Technology and Business, China
  • M.N. Abu_Shugair 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
  • Ismail Ibedou Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt https://orcid.org/0000-0002-9010-0237

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6155

Keywords:

temporal picture fuzzy multifunction, temporal picture fuzzy set, temporal picture fuzzy topological structure, picture fuzzy ideal

Abstract

This paper joins the notion of multifunctions to the notion of a temporal picture fuzzy modal topological structures (TPFMTS) using ideals. In this paper, we introduce the notion of temporal picture fuzzy local function and TPF-ideal topological spaces. Also, we introduce the concepts of $TPF^{u}$ or $TPF^{l}$ $\mathfrak{L}^{P}$-continuous, almost $\mathfrak{L}^{P}$-continuous, weakly $\mathfrak{L}^{P}$-continuous and almost weakly $\mathfrak{L}^{P}$-continuous multifunctions. Several properties and characterizations of the presented multifunctions and their types of continuity are established. Some examples are given to explain the correct implications between these notions.

Author Biographies

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

    Gugangzhou College of Technology and Business, China

  • M.N. Abu_Shugair, Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Saudi Arabia

    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

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

  • Ismail Ibedou, Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

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

Downloads

Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

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

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Multifunctions between Temporal Picture Fuzzy Ideal Structures. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6155. https://doi.org/10.29020/nybg.ejpam.v18i3.6155