Version 1
: Received: 17 December 2023 / Approved: 17 December 2023 / Online: 18 December 2023 (06:01:28 CET)
Version 2
: Received: 21 January 2024 / Approved: 23 January 2024 / Online: 24 January 2024 (02:52:14 CET)
How to cite:
Alshammari, I.; Alqahtani, M.H.; Taha, I.M. On R-fuzzy Soft δ-Open Sets and Applications via Fuzzy Soft Topologies. Preprints2023, 2023121240. https://doi.org/10.20944/preprints202312.1240.v1
Alshammari, I.; Alqahtani, M.H.; Taha, I.M. On R-fuzzy Soft δ-Open Sets and Applications via Fuzzy Soft Topologies. Preprints 2023, 2023121240. https://doi.org/10.20944/preprints202312.1240.v1
Alshammari, I.; Alqahtani, M.H.; Taha, I.M. On R-fuzzy Soft δ-Open Sets and Applications via Fuzzy Soft Topologies. Preprints2023, 2023121240. https://doi.org/10.20944/preprints202312.1240.v1
APA Style
Alshammari, I., Alqahtani, M.H., & Taha, I.M. (2023). On R-fuzzy Soft δ-Open Sets and Applications via Fuzzy Soft Topologies. Preprints. https://doi.org/10.20944/preprints202312.1240.v1
Chicago/Turabian Style
Alshammari, I., Mesfer H. Alqahtani and Islam M. Taha. 2023 "On R-fuzzy Soft δ-Open Sets and Applications via Fuzzy Soft Topologies" Preprints. https://doi.org/10.20944/preprints202312.1240.v1
Abstract
In this work, we introduce the concepts of r-fuzzy soft δ-open (resp. semi-open and α-open) sets on fuzzy soft topological space, the relations of these sets with each other are established. Next, we introduce the concepts of fuzzy soft δ-continuous (resp. β-continuous, semi-continuous, pre-continuous and α-continuous) functions, and some properties of these functions along with their mutual relationships are investigated. Also, a decomposition of fuzzy soft semi-continuity and a decomposition of fuzzy soft α-continuity are given. Finally, as a weaker form of fuzzy soft continuity by Aygunoglu et al. (2014), the concepts of fuzzy soft almost (resp. weakly) continuous functions are introduced, and some properties are specified. Moreover, we explore the notion of continuity in a very general setting namely fuzzy soft (L, M, N, O)-continuous functions, and a historical justification are obtained.
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
