doi:10.24996/ijs.2020.61.11.28

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Publication Date

Sat Nov 28 2020

Journal Name

Iraqi Journal Of Science

Volume

61

Issue Number

11

DOI

10.24996/ijs.2020.61.11.28

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On soft P_c-connected spaces

soft p_c-open set

soft p_c-separated sets

soft p_c-connected

soft p_c-disconnected

Qumri H.

Nehmat K.

Alias B.

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In this paper, we define the concept of soft -connected sets and soft -connected spaces by using the notion of soft -open sets in soft topological spaces. Several properties of these concepts are investigated.

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Publication Date

Sun May 17 2020

Journal Name

Iraqi Journal Of Science

Soft Simply Compact Spaces

SSM-compact

SSM-T0 Space

SSM-T1 Space

S.

Y. Y.

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The aim of this research is to use the class of soft simply open set to define new types of separation axioms in soft topological spaces. We also introduce and study the concept of soft simply compactness.

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(4)

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

...Show More Authors

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

Tue Feb 28 2023

Journal Name

Iraqi Journal Of Science

Soft Bornological Group Acts on Soft Bornological Set

Soft set

Bounded map

Soft bornological group

Soft bornological set

Soft bounded set

Ashwaq F.

Anwar N.

Alaa A.

Amal O.

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In this paper, we introduce the notation of the soft bornological group to solve the problem of boundedness for the soft group. We combine soft set theory with bornology space to produce a new structure which is called soft bornological group. So that both the product and inverse maps are soft bounded. As well as, we study the actions of the soft bornological group on the soft bornological sets. The aim soft bornological set is to partition into orbital classes by acting soft bornological group on the soft bornological set. In addition, we explain the centralizer, normalizer, and stabilizer in details. The main important results are to prove that the product of soft bornological groups is soft bornol

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(1)

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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(10)

(6)

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 Sep 13 2018

Journal Name

Baghdad Science Journal

On Soft Turning Points

Soft compact

Soft ideal

Soft separation axioms

Soft set and Soft turning points.

Luay A.

Fatima S.S.

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The soft sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these concepts to define new types of soft limit points, that we called soft turning points.Finally, we used these points to define new types of soft separation axioms and we study their properties.

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Publication Date

Sun Mar 07 2010

Journal Name

Baghdad Science Journal

On Semi-?-Connected Subspace

"?-open

semi-?-open

semi-?-irresolute

semi-?-connected subspace

semi-?-?-seprated."

Nadia Faiq

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In this paper, the concept of semi-?-open set will be used to define a new kind of strongly connectedness on a topological subspace namely "semi-?-connectedness". Moreover, we prove that semi-?-connectedness property is a topological property and give an example to show that semi-?-connectedness property is not a hereditary property. Also, we prove thate semi-?-irresolute image of a semi-?-connected space is a semi-?-connected space.

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Publication Date

Sun Nov 17 2019

Journal Name

Journal Of Interdisciplinary Mathematics

Soft 𝒦(sc)-spaces

Nadia Ali

Rasha Naser

Haider Jebur

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(2)

Publication Date

Sat May 01 2021

Journal Name

Journal Of Physics: Conference Series

Cech Fuzzy Soft Bi-Closure Spaces

M T

R N

...Show More Authors

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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(1)

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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