Results 1 to 10 of about 917,408 (205)

Between the Classes of Soft Open Sets and Soft Omega Open Sets [PDF]

Mathematics, 2022
In this paper, we define the class of soft ω0-open sets. We show that this class forms a soft topology that is strictly between the classes of soft open sets and soft ω-open sets, and we provide some sufficient conditions for the equality of the three ...
Samer Al Ghour
doaj   +4 more sources

Soft Semi ω-Open Sets [PDF]

Mathematics, 2021
In this paper, we introduce the class of soft semi ω-open sets of a soft topological space (X,τ,A), using soft ω-open sets. We show that the class of soft semi ω-open sets contains both the soft topology τω and the class of soft semi-open sets ...
Samer Al Ghour
doaj   +3 more sources

Soft Rω-Open Sets and the Soft Topology of Soft δ_ω-Open Sets

Axioms, 2022
The author devotes this paper to defining a new class of soft open sets, namely soft Rω-open sets, and investigating their main features. With the help of examples, we show that the class of soft Rω-open sets lies strictly between the classes of soft ...
Samer Al Ghour
doaj   +3 more sources

Soft ω-regular open sets and soft nearly Lindelöfness

Heliyon, 2022
In this paper, we define the notion of “soft ω-regular openness,” which lies exactly between “soft regular openness” and “soft ω-openness.” Through soft ω-regular open sets, we introduce the notions of soft semi ω-regularity as a weaker form of soft semi
Samer Al Ghour
doaj   +3 more sources

PRE OPEN SOFT SETS VIA SOFT GRILLS

Journal of New Theory, 2015
− This paper aims to introduce and investigate a collection of pre open soft sets in asoft topological space via soft grill G, namely pre G-open soft sets.
Rodyna Ahmed Hosny, Alaa Mohamed Abd El-latif   +1 more
doaj   +3 more sources

Three Classes of Soft Functions Via Soft -Open Sets and Soft -Closed Sets

Wasit Journal for Pure Sciences
This paper introduces novel concepts of soft functions known as soft -irresolute, soft -open, and soft -closed function as well as some of their properties.
Payman majeed, Hardi Shareef , Halgwrd Darwesh   +2 more
doaj   +2 more sources

Soft ξ-open sets in Soft Topological Spaces

Science Journal of University of Zakho, 2019
The objective of studing the current paper is to introduced a new class of soft open sets in soft topological spaces called soft -open sets. Then soft -open sets are used to study some soft topological concepts.
Ramadhan A. Mohammed, Ramziya S. Ameen
doaj   +3 more sources

Characterization of Soft S-Open Sets in Bi-Soft Topological Structure Concerning Crisp Points

Mathematics, 2020
In this article, a soft s-open set in soft bitopological structures is introduced. With the help of this newly defined soft s-open set, soft separation axioms are regenerated in soft bitopological structures with respect to crisp points.
Arif Mehmood, Mohammed M. Al-Shomrani, Muhammad Asad Zaighum, Saleem Abdullah   +3 more
doaj   +3 more sources

On Soft β-Open Sets and Soft β-Continuous Functions [PDF]

The Scientific World Journal, 2014
We introduce the concepts soft β-interior and soft β-closure of a soft set in soft topological spaces. We also study soft β-continuous functions and discuss their relations with soft continuous and other weaker forms of soft continuous functions.
Metin Akdag, Alkan Ozkan
doaj   +3 more sources

Some Local Properties of Soft Semi-Open Sets [PDF]

Discrete Dynamics in Nature and Society, 2013
We introduce some local properties by soft semi-open sets. For example, soft semi-neighborhoods of the soft point, soft semi-first-countable spaces and soft semi-pu-continuous at the soft point are given.
Bin Chen
doaj   +3 more sources