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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

Wed Mar 28 2018

Journal Name

Iraqi Journal Of Science

Weak Forms of Soft (1, 2)*-Omega Open Sets in Soft Bitopological Spaces

Soft (1

2)*-ω-open set

soft (1

2)*-α-ω-open set

soft (1

2)*-pre- ω-open set

soft (1

2)*-b-ω-open set and soft (1

2)*-β-ω-open set

Sabiha I.

Asaad Adel

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In this paper, we introduce and study new classes of soft open sets in soft bitopological spaces called soft (1,2)*-omega open sets and weak forms of soft (1,2)*-omega open sets such as soft (1,2)*-α-ω-open sets, soft (1,2)*-pre-ω-opensets, soft (1,2)*-b-ω-open sets, and soft (1,2)*-β-ω-open sets. Moreover; some basic properties and the relation among these concepts and other concepts also have been studied.

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Publication Date

Tue Jan 18 2022

Journal Name

Iraqi Journal Of Science

The Fuzzy Length of Fuzzy Bounded Operator

Fuzzy length space on fuzzy set

Fuzzy bounded operator

Fuzzy continuous operator

FB ( ̃ )

Jehad R.

Jaafar Imran

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In this paper we recall the definition of fuzzy length space on a fuzzy set after that we recall basic definitions and properties of fuzzy length. We define fuzzy bounded operator as an introduction to defined fuzzy length of an operator then we proved that the fuzzy length space FB ̃ ̃ consisting of all fuzzy bounded linear operators from a fuzzy length space ̃ into a fuzzy length space ̃ is fuzzy complete if ̃ is fuzzy complete. Also we proved that every finite dimensional fuzzy length space is fuzzy complete.

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Publication Date

Sat Nov 28 2020

Journal Name

Iraqi Journal Of Science

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

Tue May 01 2018

Journal Name

Journal Of Physics: Conference Series

Fibrewise soft ideal topological space

Soft set

soft continuous

soft ideal

fibrewise soft ideal topological spaces

fibrewise closed soft ideal topological spaces

fibrewise open soft ideal topological spaces

fibrewise soft near ideal topological spaces.

Yousif Y

Mohammed A H

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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 Apr 26 2020

Journal Name

Iraqi Journal Of Science

Some Properties of the Essential Fuzzy and Closed Fuzzy Submodules

Fuzzy Module

Closed Fuzzy

essential fuzzy submodule

Hassan K.

Hatam Y.

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In this paper, we introduce and study the essential and closed fuzzy submodules of a fuzzy module X as a generalization of the notions of essential and closed submodules. We prove many basic properties of both concepts.

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Publication Date

Mon Jul 01 2019

Journal Name

Journal Of Physics: Conference Series

Fibrewise Pairwise Soft Separation Axioms

Fibrewise bitopological spaces

Fibrewise pairwise soft spaces

fibrewise pairwise soft Hausdorff spaces

Fibrewise pairwise soft regular spaces and fibrewise pairwise soft normal spaces.

Y Y

M A

L A

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AbstractThe 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> 0 spaces, fibrewise pairwise soft <italic>T</italic> 1 spaces, fibrewise pairwise soft <italic>R</italic> 0 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 ... Show More

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Publication Date

Mon Dec 06 2021

Journal Name

Iraqi Journal Of Science

Properties of Fuzzy Norm of fuzzy Bounded Operators

Fuzzy normed space

Fuzzy bounded operator

Fuzzy continuous operator

The fuzzy normed space FB(X

Y)

Jehad R.

Noor Ahmed

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The principal aim of this research is to use the definition of fuzzy normed space
to define fuzzy bounded operator as an introduction to define the fuzzy norm of a
fuzzy bounded linear operator then we proved that the fuzzy normed space FB(X,Y)
consisting of all fuzzy bounded linear operators from a fuzzy norm space X into a
fuzzy norm space Y is fuzzy complete if Y is fuzzy complete. Also we introduce
different types of fuzzy convergence of operators.

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Publication Date

Tue Oct 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Fuzzy Semi Pre Homeomorphism in Fuzzy Topological Spaces

Fuzzy topological spaces

fuzzy semi pre-open sets

fuzzy semi pre homeomorphism function and fuzzy semi pre* homeomorphism function.

Saleem

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The aim of this paper is to introduce and study new class of fuzzy function called fuzzy semi pre homeomorphism in a fuzzy topological space by utilizing fuzzy semi pre-open sets. Therefore, some of their characterization has been proved; In addition to that we define, study and develop corresponding to new class of fuzzy semi pre homeomorphism in fuzzy topological spaces using this new class of functions.

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Publication Date

Tue Jan 25 2022

Journal Name

Iraqi Journal Of Science

Semi (1, 2)*-Maximal Soft (1, 2)*-Pre-Open Sets and Semi (1, 2)*-Minimal Soft (1, 2)*-Pre-Closed Sets In Soft Bitopological Spaces

(1

2)*-maximal soft (1

2)*-pre-open set

(1

2)*-minimal soft (1

2)*-preopen sets

(1

2)*-maximal soft (1

2)*-pre-closed sets

(1

2)*-minimal soft (1

2)*- pre-closed sets

semi (1

2)*-maximal soft (1

2)*-pre-open sets

semi (1

2)*-minimal soft (1

2)*-pre-c

Sabiha I.

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In this paper, we introduce and study new types of soft open sets and soft closed
sets in soft bitopological spaces (X,~ ,~ ,E) 1 2   , namely, (1,2)*-maximal soft open
sets, (1,2)*-maximal soft (1,2)*-pre-open sets, semi (1,2)*-maximal soft (1,2)*-preopen
sets, (1,2)*-maximal soft closed sets, (1,2)*-maximal soft (1,2)*-pre-closed
sets, (1,2)*-minimal soft open sets, (1,2)*-minimal soft (1,2)*-pre-open sets, (1,2)*-
minimal soft closed sets, (1,2)*-minimal soft (1,2)*-pre-closed sets, and semi (1,2)*-
minimal soft (1,2)*-pre-closed sets. Also, properties and the relation among these
concepts have been studied.

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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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