doi:10.4018/IJFSA.2018040103

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Publication Date

Sun Apr 01 2018

Journal Name

International Journal Of Fuzzy System Applications

Volume

7

DOI

10.4018/IJFSA.2018040103

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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 Oct 20 2020

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Weak Essential Fuzzy Submodules Of Fuzzy Modules

Semi-prime F-submodules

essential F-submodules.

Hassan

Hatam

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Throughout this paper, we introduce the notion of weak essential F-submodules of F-modules as a generalization of weak essential submodules. Also we study the homomorphic image and inverse image of weak essential F-submodules.

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(1)

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

Wed Mar 10 2021

Journal Name

Baghdad Science Journal

Fuzzy Subspaces For Fuzzy space of Orderings

luma. N. Mohammed

Nagam. M.

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The purpose of this paper is to define fuzzy subspaces for fuzzy space of orderings and we prove some results about this definition in which it leads to a lot of new results on fuzzy space of orderings. Also we define the sum and product over such spaces such that: If f = < a1,…,an > and g = < b1,…bm>, their sum and product are f + g = < a1…,an, b1, …, bm> and f × g =. for all a1,…,an,b1,…,bm ? G

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Publication Date

Fri Jul 28 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Semiessential Fuzzy Ideals and Semiuniform Fuzzy Rings

M. A.

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Zadah in [1] introduced the notion of a fuzzy subset A of a nonempty set S as a mapping from S into [0,1], Liu in [2] introduced the concept of a fuzzy ring, Martines [3] introduced the notion of a fuzzy ideal of a fuzzy ring. A non zero proper ideal I of a ring R is called an essential ideal if I ïƒ‡ J ï‚¹ (0), for any non zero ideal J of R, [4]. Inaam in [5] fuzzified this concept to essential fuzzy ideal of fuzzy ring and gave its basic properties. Nada in [6] introduced and studied notion of semiessential ideal in a ring R, where a non zero i

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Publication Date

Wed Feb 01 2017

Journal Name

International Journal Of Science And Research (ijsr)

Fibrewise Bitopological Spaces

Fibrewise bitopological spaces

fibrewise closed bitopological spaces

fibrewise open bitopological spaces

fibrewise locally sliceable bitopological spaces and fibrewise locally sectionable bitopological spaces.

Y. Y.

L. A.

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

Publication Date

Thu Apr 28 2022

Journal Name

Iraqi Journal Of Science

ON SN-SPACES

regular open

regular closed

SN-space

semi-continuous

pre-semi open function

so-continuous function

weakly closed function

pre-closed set

Gδ set

nd-preserving function

Abdul-Rahman

Jalal H. Hussein

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The aim of this paper is to introduce and study the concept of SN-spaces via the notation of simply-open sets as well as to investigate their relationship to other topological spaces and give some of its properties.

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Publication Date

Thu Dec 29 2016

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

L- compact Spaces

S.

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The purpose of this paper is to study a new types of compactness in bitopological spaces. We shall introduce the concepts of L- compactness.

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Publication Date

Wed Apr 25 2018

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Quasi-inner product spaces of quasi-Sobolev spaces and their completeness

quasi-Sobolev space

quasi-Banach space

Ga Ì‚teaux derivative

quasi-inner product space

quasi-Hilbert space. smooth quasi-Hilbert space.

Jawad Kadhim

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Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is generalized to normed space and given a relationship between pre-Hilbert space and a quasi-inner product space with important results and examples. Completeness properties in quasi-inner product space gives us concept of quasi-Hilbert space . We show that , not all quasi-Sobolev spa

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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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(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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