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Publication Date

Tue Feb 13 2024

Journal Name

Iraqi Journal Of Science

Volume

54

Issue Number

Mathematics conf

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Fuzzy Soft Modules Over Fuzzy Soft Rings

Fuzzy Soft Modules

Fuzzy Soft Rings

quotient module

Amjad

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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

Thu Sep 30 2021

Journal Name

Iraqi Journal Of Science

Compactness Property of Fuzzy Soft Metric Space and Fuzzy Soft Continuous Function

Fuzzy Soft Metric Space

Compact fuzzy soft metric space

Sequentially compact fuzzy soft metric space

Fuzzy soft continuous function

Raghad I.

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The theories of metric spaces and fuzzy metric spaces are crucial topics in mathematics.

Compactness is one of the most important and fundamental properties that have been widely used in Functional Analysis. In this paper, the definition of compact fuzzy soft metric space is introduced and some of its important theorems are investigated. Also, sequentially compact fuzzy soft metric space and locally compact fuzzy soft metric space are defined and the relationships between them are studied. Moreover, the relationships between each of the previous two concepts and several other known concepts are investigated separately. Besides, the compact fuzzy soft continuous functions are studie

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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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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

Tue Sep 19 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Torsion (Torsion Free) Fuzzy Modules Over Fuzzy Integral Domain

I. M. A.

M. A.

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The study of torsion {torsion free) fuzzy modules over fuzzy

integtal domain as a generalization oftorsion (torsion free) modules.

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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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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

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 May 11 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Semiprime Fuzzy Modules

Prime fuzzy module

semiprime module

semiprime fuzzy module.

M. A.

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In this paper we introduce the notion of semiprime fuzzy module as a generalization of semiprime module. We investigate several characterizations and properties of this concept.

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Publication Date

Thu May 28 2020

Journal Name

Iraqi Journal Of Science

Fuzzy Maximal Sub-Modules

(Simple

Semisimple) Fuzzy Modules

Quotient Fuzzy Modules

Maximal Fuzzy Submodule

Maysoun A.

Hatam Y.

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In this paper, we introduce and study the notions of fuzzy quotient module, fuzzy (simple, semisimple) module and fuzzy maximal submodule. Also, we give many basic properties about these notions.

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Publication Date

Sun Dec 01 2019

Journal Name

Gazi University Journal Of Science

Lower Separation Axioms in C ̌ech Fuzzy Soft Closure Spaces

Rasha

Lina

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