On r-fuzzy Soft δ-open Sets with Qpplications in Fuzzy Soft Topological Spaces

Authors

  • Ibtesam Alshammari University of Hafr Al Batin
  • Osama Taha Sohag University
  • Mostafa El-Bably Tanta University
  • Islam Taha Sohag University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5733

Keywords:

Fuzzy soft set, fuzzy soft topological space, fuzzy soft δ-closure operator, r-fuzzy soft δ-connected set, weaker forms of fuzzy soft continuity, fuzzy soft (L, M, N, O)-continuity

Abstract

In the present paper, we introduce the notion of r-fuzzy soft δ-open sets in fuzzy soft topological spaces. Furthermore, we define and characterize the notions of fuzzy soft δ-closure (δ-interior) operators. After that, we explore the notions of fuzzy soft δ-continuous (semi-continuous and pre-continuous) functions, which are weaker forms of fuzzy soft continuity. We also study some properties of these functions along with their mutual relationships with the help of some problems. Moreover, we present a decomposition of fuzzy soft semi-continuity. Lastly, as a weaker form of fuzzy soft continuity, we define and study the notions of fuzzy soft almost (weakly) continuous functions. Also, we explore the notion of continuity in a very general setting called fuzzy soft (L, M, N, O)-continuity and introduce a historical justification.

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Ibtesam Alshammari, Osama Taha, Mostafa El-Bably, Islam Taha

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How to Cite

On r-fuzzy Soft δ-open Sets with Qpplications in Fuzzy Soft Topological Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5733. https://doi.org/10.29020/nybg.ejpam.v18i1.5733