Weakly and Strongly Forms of Fibrewise Fuzzy ω--Topological Spaces

M. A. Hussain; Y.Y. Yousif

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Publication Date

Fri Dec 20 2024

Journal Name

Al-qadisiyah Journal Of Pure Science

Volume

29

Issue Number

No. 2 , Article 12.

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Weakly and Strongly Forms of Fibrewise Fuzzy ω--Topological Spaces

Keywords: Weakly fibrewise fuzzy q-u-topological spaces

strongly fibrewise fuzzy q-u-topological spaces

M. A. Hussain

Y.Y. Yousif

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Abstract This paper is devoted to introduce weak and strong forms of fibrewise fuzzy u-topological spaces, namely the fibrewise fuzzy q-u-topological spaces, weakly fibrewise fuzzy q-u-topological spaces and strongly fibrewise fuzzy q-utopological spaces. Also, Several characterizations and properties of this class are also given as well. Finally, we focused on studying the relationship between weakly fibrewise fuzzy q-u-topological spaces and strongly fibrewise fuzzy q-utopological spaces.

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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

Sun Mar 02 2014

Journal Name

Baghdad Science Journal

On Strongly F – Regular Modules and Strongly Pure Intersection Property

Strongly pure submodule

Strongly F–regular module

Idempotent submodule

Fully idempotent module .

Bahar H. Al –

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A submoduleA of amodule M is said to be strongly pure , if for each finite subset {ai} in A , (equivalently, for each a ?A) there exists ahomomorphism f : M ?A such that f(ai) = ai, ?i(f(a)=a).A module M is said to be strongly F–regular if each submodule of M is strongly pure .The main purpose of this paper is to develop the properties of strongly F–regular modules and study modules with the property that the intersection of any two strongly pure submodules is strongly pure .

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Publication Date

Tue Jan 01 2019

Journal Name

International Journal Of Civil Engineering And Technology

Generalized tupled common fixed point theorems for weakly compatible mappings in fuzzy metric space

Maibed

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(11)

Publication Date

Thu Jan 24 2019

Journal Name

Journal Of Al-qadisiyah For Computer Science And Mathematics

On strongly E-convex sets and strongly E-convex cone sets

E-convex sets

strongly E-convex sets

strongly E-convex cone

strongly E-convex hull

Saba

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-convex sets and -convex functions, which are considered as an important class of generalized convex sets and convex functions, have been introduced and studied by Youness [5] and other researchers. This class has recently extended, by Youness, to strongly -convex sets and strongly -convex functions. In these generalized classes, the definitions of the classical convex sets and convex functions are relaxed and introduced with respect to a mapping . In this paper, new properties of strongly -convex sets are presented. We define strongly -convex hull, strongly -convex cone, and strongly -convex cone hull and we proof some of their properties. Some examples to illustrate the aforementioned concepts and to cl

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Publication Date

Mon Jan 01 2007

Journal Name

Ibn Al-hatham J. For Pure & Appl. Sci

ω-Perfect Mappings

ω-open set

ω-closed set

ω-perfect mapping

Y. Y.

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In this paper, we shall introduce a new kind of Perfect (or proper) Mappings, namely ω-Perfect Mappings, which are strictly weaker than perfect mappings. And the following are the main results: (a) Let f : X→Y be ω-perfect mapping of a space X onto a space Y, then X is compact (Lindeloff), if Y is so. (b) Let f : X→Y be ω-perfect mapping of a regular space X onto a space Y. then X is paracompact (strongly paracompact), if Y is so paracompact (strongly paracompact). (c) Let X be a compact space and Y be a p*-space then the projection p : X×Y→Y is a ω-perfect mapping. Hence, X×Y is compact (paracompact, strongly paracompact) if and only if Y is so.

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Publication Date

Fri Jan 01 2010

Journal Name

Journal Of Collage Of Education

FILTER BASES AND ω-PERFECT FUNCTIONS

closure converge to a point

closure directed toward a set

almost ω-converges to a set

almost condensation point

ω-continuous functions

weakly ω-continuous functions

ω-compact functions

ω-rigid a set

almost ω-closed functions

ω-perfect functions.

Yousif Y.

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In this paper introduce some generalizations of some definitions which are, closure converge to a point, closure directed toward a set, almost ω-converges to a set, almost condensation point, a set ωH-closed relative, ω-continuous functions, weakly ω-continuous functions, ω-compact functions, ω-rigid a set, almost ω-closed functions and ω-perfect functions with several results concerning them.

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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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(2)

(1)

Publication Date

Tue Jun 23 2015

Journal Name

Journal Of Intelligent & Fuzzy Systems

A note on “separation axioms in fuzzy bitopological spaces”

Osama A.

Sobhy A.

Rasha N.

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(2)

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

Mon May 11 2020

Journal Name

Baghdad Science Journal

Some properties of finite dimensional fuzzy anti-normed linear spaces

بعض خواص الفضاءات الخطية ضد المعيارية الضبابية المنتهية الابعاد

Esraa

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In this paper the definition of fuzzy anti-normed linear spaces and its basic properties are used to prove some properties of a finite dimensional fuzzy anti-normed linear space.

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