g-Closed Soft Sets in Soft Closure Spaces
Publication Date
Sun Nov 17 2019
Journal Name
Journal Of Interdisciplinary Mathematics
(9)
(5)
Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Physics: Conference Series
Soft Closure Spaces
Abstract<p>In this paper, the concept of soft closure spaces is defined and studied its basic properties. We show that the concept soft closure spaces are a generalization to the concept of <italic>Č</italic>ech soft closure spaces introduced by Krishnaveni and Sekar. In addition, the concepts of subspaces and product spaces are extended to soft closure spaces and discussed some of their properties.</p>
(4)
Publication Date
Tue Aug 31 2021
Journal Name
Iraqi Journal Of Science
Soft Continuous Mappings in Soft Closure Spaces
Soft closure operator
soft closure space
closed soft set
product of soft closure spaces
soft continuous mapping
soft closed mapping
soft projection mapping
Soft closure spaces are a new structure that was introduced very recently. These new spaces are based on the notion of soft closure operators. This work aims to provide applications of soft closure operators. We introduce the concept of soft continuous mappings and soft closed (resp. open) mappings, support them with examples, and investigate some of their properties.
(3)
(2)
Publication Date
Sun Apr 01 2018
Journal Name
International Journal Of Fuzzy System Applications
C̆ech Fuzzy Soft Closure Spaces
In this paper, the C̆ech fuzzy soft closure spaces are defined and their basic properties are studied. Closed (respectively, open) fuzzy soft sets is defined in C̆ech fuzzy-soft closure spaces. It has been shown that for each C̆ech fuzzy soft closure space there is an associated fuzzy soft topological space. In addition, the concepts of a subspace and a sum are defined in C̆ech fuzzy soft closure space. Finally, fuzzy soft continuous (respectively, open and closed) mapping between C̆ech fuzzy soft closure spaces are introduced. Mathematics Subject Classification: 54A40, 54B05, 54C05.
(10)
(6)
Publication Date
Tue Jan 25 2022
Journal Name
Iraqi Journal Of Science
Semi (1, 2)*-Maximal Soft (1, 2)*-Pre-Open Sets and Semi (1, 2)*-Minimal Soft (1, 2)*-Pre-Closed Sets In Soft Bitopological Spaces
(1
2)*-maximal soft (1
2)*-pre-open set
(1
2)*-minimal soft (1
2)*-preopen sets
(1
2)*-maximal soft (1
2)*-pre-closed sets
(1
2)*-minimal soft (1
2)*- pre-closed sets
semi (1
2)*-maximal soft (1
2)*-pre-open sets
semi (1
2)*-minimal soft (1
2)*-pre-c
In this paper, we introduce and study new types of soft open sets and soft closed
sets in soft bitopological spaces (X,~ ,~ ,E) 1 2 , namely, (1,2)*-maximal soft open
sets, (1,2)*-maximal soft (1,2)*-pre-open sets, semi (1,2)*-maximal soft (1,2)*-preopen
sets, (1,2)*-maximal soft closed sets, (1,2)*-maximal soft (1,2)*-pre-closed
sets, (1,2)*-minimal soft open sets, (1,2)*-minimal soft (1,2)*-pre-open sets, (1,2)*-
minimal soft closed sets, (1,2)*-minimal soft (1,2)*-pre-closed sets, and semi (1,2)*-
minimal soft (1,2)*-pre-closed sets. Also, properties and the relation among these
concepts have been studied.
Publication Date
Sun May 17 2020
Journal Name
Iraqi Journal Of Science
On Soft bc-Open Sets in Soft Topological Spaces
soft Æ„-open set
soft Æ„c-open set
soft Æ„c- nbd
soft Æ„c-interior
soft Æ„c-closure
In this paper, we offer and study a novel type generalized soft-open sets in topological spaces, named soft Æ„c-open sets. Relationships of this set with other types of generalized soft-open sets are discussed, definitions of soft Æ„ , soft bc- closure and soft bc- interior are introduced, and its properties are investigated. Also, we introduce and explore several characterizations and properties of this type of sets.
(9)
Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Cech Fuzzy Soft Bi-Closure Spaces
Abstract<p>In the present study, Čech fuzzy soft bi-closure spaces (Čfs bi-csp’s) are defined. The basic properties of Čfs bi-csp’s are studied such as we show from each Čfs bi-csp’s (<italic>u, L<sub>1</sub>, L<sub>2</sub>, S</italic>) we can obtain two types of associative fuzzy soft topological spaces, the first is a fuzzy soft bitopological space (<italic>U, τ<sub>L<sub>1</sub>
</sub>, τ<sub>L<sub>2</sub>
</sub>, S</italic>) and the second is a fuzzy soft topological space (<italic>U, τ<sub>L<sub>1</sub>
</sub>
</italic></p>
... Show More
(1)
Publication Date
Tue Jan 04 2022
Journal Name
Iraqi Journal Of Science
On Weakly Soft Omega Open Functions and Weakly Soft Omega Closed Functions in Soft Topological Spaces
Soft Omega Open Set
Soft Omega Closed Set
Weakly Soft Omega Open Function
Weakly Soft Omega Closed Function
Almost Soft Omega Open Function
Almost Soft Omega Closed Function
Contra Soft Omega Open Function
Contra Soft Omega Closed Function
The main purpose from this paper is to introduce a new kind of soft open sets in soft
topological spaces called soft omega open sets and we show that the collection of
every soft omega open sets in a soft topological space (X,~,E) forms a soft topology
~
on X which is soft finer than ~
. Moreover we use soft omega open sets to define
and study new classes of soft functions called weakly soft omega open functions and
weakly soft omega closed functions which are weaker than weakly soft open functions
and weakly soft closed functions respectively. We obtain their basic properties, their
characterizations, and their relationships with other kinds of soft functions between
soft topological spaces.<
Publication Date
Wed Mar 28 2018
Journal Name
Iraqi Journal Of Science
Weak Forms of Soft (1, 2)*-Omega Open Sets in Soft Bitopological Spaces
Soft (1
2)*-ω-open set
soft (1
2)*-α-ω-open set
soft (1
2)*-pre- ω-open set
soft (1
2)*-b-ω-open set and soft (1
2)*-β-ω-open set
In this paper, we introduce and study new classes of soft open sets in soft bitopological spaces called soft (1,2)*-omega open sets and weak forms of soft (1,2)*-omega open sets such as soft (1,2)*-α-ω-open sets, soft (1,2)*-pre-ω-opensets, soft (1,2)*-b-ω-open sets, and soft (1,2)*-β-ω-open sets. Moreover; some basic properties and the relation among these concepts and other concepts also have been studied.
Publication Date
Sun Dec 01 2019
Journal Name
Gazi University Journal Of Science
(5)
(2)