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

Mohamad Th. Hmood; R. N. Majeed

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Publication Date

Mon Aug 16 2021

Journal Name

Al-qadisiyah Journal Of Pure Science

Volume

26

Issue Number

4

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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. Hmood

R. N. Majeed

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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

Sun Jan 01 2023

Journal Name

International Conference Of Computational Methods In Sciences And Engineering Iccmse 2021

On Čech fuzzy soft bi-clouser spaces

Mohamad Th.

Rasha N.

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Publication Date

Fri Jan 01 2021

Journal Name

Int. J. Nonlinear Anal. Appl.

Rough continuity and rough separation axioms in G<inf>m</inf>-closure approximation spaces

Rough sets

Gm-closure space

Approximation spaces

lower and upper approximation spaces

Rough continuity

Rough separation axioms.

Y. Y.

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The theory of general topology view for continuous mappings is general version and is applied for topological graph theory. Separation axioms can be regard as tools for distinguishing objects in information systems. Rough theory is one of map the topology to uncertainty. The aim of this work is to presented graph, continuity, separation properties and rough set to put a new approaches for uncertainty. For the introduce of various levels of approximations, we introduce several levels of continuity and separation axioms on graphs in Gm-closure approximation spaces.

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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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(4)

Publication Date

Tue Oct 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

New Games via soft-I-Semi-g-Separation axioms

Soft ideal

Soft-T_i-space

Soft-I-semi-g-T_i-space

ÅžG(T_i

Ï‡ ) ÅžG(T_i

I). Where i ={0

1

2}.

R.J.

R.B.

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In this article, the notions are introduced by using soft ideal and soft semi-open sets, which are - - - -closed sets " -closed" where many of the properties of these sets are clarified. Some games by using soft- -semi, soft separation axioms: like ( ₀ ( ₀ Using many figures and proposition to study the relationships among these kinds of games with some examples are explained.

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(1)

Publication Date

Wed Mar 01 2017

Journal Name

Journal Of Collage Of Education

Fibrewise Soft Near Separation Axioms

Y. Y.

M. A.

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Publication Date

Mon Aug 01 2022

Journal Name

Journal Of Physics: Conference Series

Fibrewise Fuzzy Separation Axioms

MA

YY

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AbstractWithin that research, we introduce fibrewise fuzzy types of the most important separation axioms in ordinary fuzz topology, namely fibrewise fuzzy (T 0 spaces, T 1 spaces, R 0 spaces, Hausdorff spaces, functionally Hausdorff spaces, regular spaces, completely regular spaces, normal spaces, and normal spaces). Too we add numerous outcomes about it.

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(2)

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

Sun Oct 03 2021

Journal Name

Journal Of Interdisciplinary Mathematics

Fibrewise soft bitopological spaces

Soft set

Fibrewise soft bitopological spaces.

Y. Y.

L. A.

M. A.

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We introduce and discuss recent type of fibrewise topological spaces, namely fibrewise soft bitopological spaces. Also, we introduce the concepts of fibrewise closed soft bitopological spaces, fibrewise open soft bitopological spaces, fibrewise locally sliceable soft bitopological spaces and fibrewise locally sectionable soft bitopological spaces. Furthermore, we state and prove several propositions concerning these concepts.

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(3)

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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(1)

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.

...Show More Authors

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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