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New Generalizations of Soft LC-Spaces
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      In this article, we introduce a new type of soft spaces namely, soft  spaces as   a generalization of soft paces. Also, we study the weak forms of soft  spaces, namely, soft  spaces, soft  spaces, soft  space, and soft  spaces. The characterizations and fundamental properties related to these types of soft spaces and the relationships among them are also discussed.

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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
Fibrewise soft ideal topological space
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In this work we explain and discuss new notion of fibrewise topological spaces, calledfibrewise soft ideal topological spaces, Also, we show the notions of fibrewise closed soft ideal topological spaces, fibrewise open soft ideal topological spaces and fibrewise soft near ideal topological spaces.

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Publication Date
Sun Nov 17 2019
Journal Name
Journal Of Interdisciplinary Mathematics
Soft 𝒦(<i>sc</i>)-spaces
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Cech Fuzzy Soft Bi-Closure Spaces
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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
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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
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Publication Date
Sat Feb 26 2022
Journal Name
Iraqi Journal Of Science
On the Soft Stability of Soft Picard and Soft Mann Iteration Processes
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      In this paper, we  introduce new concepts that relates to soft space based on   work that was previously presented by researchers in this regard. First we give  the definition of Soft Contraction Operator and some examples. After that we introduce the concepts of soft Picard iteration and soft Mann iteration processes. We also give  some examples to illustrate them.

    Many concepts in normed spaces have been generalized in soft normed spaces. One of the important concepts is the concept of stability of soft iteration in soft normed spaces. We discuss this concept by giving some lemmas that  are  used to prove some theorems about stability of soft i

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Publication Date
Tue Feb 13 2024
Journal Name
Iraqi Journal Of Science
Fuzzy Soft Modules Over Fuzzy Soft Rings
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Let
be an
module, and let
be a set, let
be a soft set over
. Then
is said to be a fuzzy soft module over
iff
,
is a fuzzy submodule of
. In this paper, we introduce the concept of fuzzy soft modules over fuzzy soft rings and some of its properties and we define the concepts of quotient module, product and coproduct operations in the category of
modules.

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Publication Date
Fri Feb 28 2020
Journal Name
Iraqi Journal Of Science
Topologized Soft Fundamental Group of Soft Topological Group
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      In this paper, we show that each soft topological group is a strong small soft loop transfer space at the identity element. This indicates that the soft quasitopological fundamental group of a soft connected and locally soft path connected space, is a soft topological group.

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Publication Date
Sun Jan 01 2023
Journal Name
International Conference Of Computational Methods In Sciences And Engineering Iccmse 2021
On Čech fuzzy soft bi-clouser spaces
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Publication Date
Sun Oct 30 2022
Journal Name
Iraqi Journal Of Science
Pairwise Regularity and Normality Separation Axioms in C ̌ech Fuzzy Soft Bi-Closure Spaces
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    In this paper, some new types of regularity axioms, namely pairwise quasi-regular, pairwise semi-regular, pairwise pseudo regular and pairwise regular are defined and studied in both ech fuzzy soft bi-closure spaces (  bicsp’s) and their induced fuzzy soft bitopological spaces. We also study the relationships between them. We show that in all these types of axioms, the hereditary property is satisfied under closed fs bi-csubsp of . Furthermore, we define some normality axioms, namely pairwise semi-normal, pairwise pseudo normal, pairwise normal and pairwise completely normal in both  bicsp’s and their induced fuzzy soft bitopological spaces, as well as their basic properties and the relationships between them are studied.

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Publication Date
Mon Jul 01 2019
Journal Name
Journal Of Physics: Conference Series
Fibrewise Pairwise Soft Separation Axioms
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Abstract<p>The main idea of this research is to study fibrewise pairwise soft forms of the more important separation axioms of ordinary bitopology named fibrewise pairwise soft <italic>T</italic> <sub>0</sub> spaces, fibrewise pairwise soft <italic>T</italic> <sub>1</sub> spaces, fibrewise pairwise soft <italic>R</italic> <sub>0</sub> spaces, fibrewise pairwise soft Hausdorff spaces, fibrewise pairwise soft functionally Hausdorff spaces, fibrewise pairwise soft regular spaces, fibrewise pairwise soft completely regular spaces, fibrewise pairwise soft normal spaces and fibrewise pairw</p> ... Show More
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