doi:10.24996/ijs.2021.62.8.20

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Publication Date

Tue Aug 31 2021

Journal Name

Iraqi Journal Of Science

Volume

62

Issue Number

8

DOI

10.24996/ijs.2021.62.8.20

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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

S. T.

R. N.

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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.

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Publication Date

Wed Jul 01 2020

Journal Name

Journal Of Physics: Conference Series

Soft Closure Spaces

Shahad Thaar

Rasha Naser

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AbstractIn 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.

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

g-Closed Soft Sets in Soft Closure Spaces

R N

S T

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AbstractThe aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (<italic>gc</italic>-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a <italic>gc</italic>-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two <italic>gc</italic>-soft sets are discussed. Besides, some properties of <italic>gc</italic>-soft sets in the product soft closure spaces are also studied. Also, as an application of <jat></jat> ... Show More

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Publication Date

Mon Aug 16 2021

Journal Name

Al-qadisiyah Journal Of Pure Science

Pairwise Lower Separation Axioms in C ̌ech Fuzzy Soft Bi-Closure Spaces

Fuzzy soft set

fuzzy soft closure operator

closed fuzzy soft set

fuzzy soft bitopological space

pairwise 〖 T〗_0

pairwise T_1

pairwise〖 T〗_2

pairwise semi〖 T〗_2

pairwise pseudo〖 T〗_2

pairwise Uryshon 〖 T〗_2.

Mohamad Th.

R. N.

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The idea of ech fuzzy soft bi-closure space ( bicsp) is a new one, and its basic features are defined and studied in [1]. In this paper, separation axioms, namely pairwise, , pairwise semi-(respectively, pairwise pseudo and pairwise Uryshon) - fs bicsp's are introduced and studied in both ech fuzzy soft bi-closure space and their induced fuzzy soft bitopological spaces. It is shown that hereditary property is satisfied for , with respect to ech fuzzy soft bi-closure space but for other mentioned types of separations axioms, hereditary property satisfies for closed subspaces of ech fuzzy soft bi-closure space.

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Publication Date

Thu Nov 29 2018

Journal Name

Iraqi Journal Of Science

On Soft LC-Spaces and Weak Forms of Soft LC-Spaces

Soft -closed set

soft compact space

soft Lindelöf space

soft LC- space

soft -space

soft KC-space

soft P-space

Sabiha I.

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The main purpose of this article is to study the soft LC-spaces as soft spaces in which every soft Lindelöf subset of is soft closed. Also, we study the weak forms of soft LC-spaces and we discussed their relationships with soft LC-spaces as well as among themselves.

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Publication Date

Wed Jul 01 2020

Journal Name

Journal Of Physics: Conference Series

Soft Simply Connected Spaces And Soft Simply Paracompact Spaces

soft simply-connected

soft simply -continuous

soft simply limit point

soft simply Paracompact spaces.

S.

Y. Y.

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AbstractWe introduce in this paper some new concepts in soft topological spaces such as soft simply separated, soft simply disjoint, soft simply division, soft simply limit point and we define soft simply connected spaces, and we presented soft simply Paracompact spaces and studying some of its properties in soft topological spaces. In addition to introduce a new types of functions known as soft simply <italic>pu</italic>-continuous which are defined between two soft topological spaces.

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Publication Date

Sun Apr 01 2018

Journal Name

International Journal Of Fuzzy System Applications

C̆ech Fuzzy Soft Closure Spaces

Rasha Naser

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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.

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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

Saif Z.

Adiya K.

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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.

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Publication Date

Wed Feb 01 2017

Journal Name

International Journal Of Science And Research (ijsr)

Fibrewise Soft Topological Spaces

Soft set

soft continuous

fibrewise soft topological spaces

fibrewise closed soft topological spaces

fibrewise open soft topological spaces

fibrewise soft near compact spaces and fibrewise locally soft near compact space.

Y. Y.

M. A.

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In this work we define and study new concept of fibrewise topological spaces, namely fibrewise soft topological spaces, Also, we introduce the concepts of fibrewise closed soft topological spaces, fibrewise open soft topological spaces, fibrewise soft near compact spaces and fibrewise locally soft near compact spaces.

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Publication Date

Sun Nov 17 2019

Journal Name

Journal Of Interdisciplinary Mathematics

Generalized closed fuzzy soft sets in Čech fuzzy soft closure spaces

Rasha Naser

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Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

Cech Fuzzy Soft Bi-Closure Spaces

M T

R N

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AbstractIn 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, L1, L2, S</italic>) we can obtain two types of associative fuzzy soft topological spaces, the first is a fuzzy soft bitopological space (<italic>U, τL1 , τL2 , S</italic>) and the second is a fuzzy soft topological space (<italic>U, τL1 </italic> ... Show More

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