Results 21 to 30 of about 203 (109)

On some applications of fuzzy points

Applied General Topology, 2005
The notion of preopen sets play a very important role in General Topology and Fuzzy Topology. Preopen sets are also called nearly open and locally dense.
Maximilian Ganster, D.N. Georgiou, S. Jafari, S.P. Moshokoa   +3 more
doaj   +1 more source

Some Results on Semi-preopen Sets

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
    The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then Ais called semi-preopen set if ⊆∘ .
R. N. Majeed, A. I. Nasir
doaj   +2 more sources

Neutrosophic semi δ-preopen sets and neutrosophic semi δ-pre continuity [PDF]

Neutrosophic Sets and Systems
The purpose of this paper is to introduce the concepts of neutrosophic semi δ-preopen sets and neutrosophic semi δ-precontinuous mappings in neutrosophic topological spaces and obtain some of their properties and characterizations.
Florentin Smarandache, Mahima Thakur, S. S. Thakur   +2 more
doaj   +1 more source

Separation Axioms and Their Descriptions Within the Framework of Fuzzy Soft Topology Defined on Fuzzy Soft Sets

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In recent years, fuzzy soft topology has emerged as a powerful approach that contributes significantly to advancing practical applications in uncertain environments, especially in information systems design, predictive modeling, and decision‐making. The structure of fuzzy soft topology, defined over fuzzy soft sets as a universal set instead of a crisp
S. Saleh, A. A. Azzam, M. Aldawood, T. M. Al-Shami, Andrzej Skowron   +4 more
wiley   +1 more source

Minimal open sets on generalized topological space [PDF]

We introduce the notion of minimal open sets in a generalized topological space (X, μ). We investigate some of their fundamental properties and proved that any subset of a minimal open set on a GTS (X, μ) is a μ-preopen ...
Rosas, Ennis, Carpintero, Carlos, Sanabria, José, Salas-Brown, Margot   +3 more
core   +1 more source

Results on a Pre-T_2 Space and Pre-Stability

مجلة بغداد للعلوم, 2019
This paper contains an equivalent statements of a pre-  space, where  are considered subsets of with the product topology. An equivalence relation between the preclosed set  and a pre-  space, and a relation between a pre-  space and the preclosed set ...
Anmar Hashim Jasim
doaj   +1 more source

On Interval‐Valued Fuzzy e‐Continuous Mappings

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we aim to explore the concept of interval‐valued fuzzy e‐continuous (IVF e‐continuous) mappings. We will delve into the theoretical framework of interval‐valued fuzzy sets and e‐continuous (IVF e‐continuous) mappings and then proceed to discuss some examples related to IVF e‐continuous.
Wadei F. Al-Omeri, Fernando Bobillo
wiley   +1 more source

On Nano Topological Spaces with Ideal Semi-p-open Sets

Ibn Al-Haitham Journal for Pure and Applied Sciences
The purpose of this paper is to introduce a new type of spaces called nano topological spaces and investigate the relation between nano topological space and nano ideal semi preopen set. The objective of this study is to develop a nano topological model.
Shima H. Ali, R. B. Esmaeel , Abdelaziz E. Radwan   +2 more
doaj   +1 more source

Fuzzy Soft Topological Approaches Based on p‐Fuzzy Soft Ω‐Open Sets

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, we introduce new classes of fuzzy soft open sets, namely, p‐FSΩ‐open (respectively, p‐FSΩP‐open, p‐FSΩS‐open, p‐FSΩα‐open, and p‐FSΩγ‐open) sets in fuzzy soft topological spaces (FSTSs) based on fuzzy topologies in view of Šostak. We conduct a detailed investigation of the relationships among these classes of open sets, supported by ...
Jawaher Al-Mufarrij, Maha M. Saeed, Islam M. Taha, Smritijit Sen   +3 more
wiley   +1 more source

New Continuity Structures for Fuzzy Multifunctions via υ‐Fuzzy γ‐Open Sets and Fuzzy Ideals

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study introduces several new classes of continuity for fuzzy multifunctions based on υ‐fuzzy γ‐open sets, namely fuzzy upper γ‐continuity (F+γ‐continuity), fuzzy lower γ‐continuity (F−γ‐continuity), fuzzy upper almost γ‐continuity (F+Aγ‐continuity), fuzzy lower almost γ‐continuity (F−Aγ‐continuity), fuzzy upper weakly γ‐continuity (F+Wγ‐continuity)
Fahad Alsharari, Ghaziyah Alsahli, Hind Saleh, Islam M. Taha, Smritijit Sen   +4 more
wiley   +1 more source