N-Fuzzy BI-Topological Space and Separation Axioms

In this article, we introduced N-fuzzy bi-topological space by using the conceptsof fuzzy bi-topological space. We further define some basic properties of N-fuzzy bi-topologicalspaces, secondly we study the concepts of natural separation axioms of bi-topological in N-fuzzybi-topological space which...

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Published in:Journal of New Theory
Main Authors: Muhammad Shahzad, Muhammad Rahim, Saleem Abdullah, Faisal Khan
Format: Article
Language:English
Published: Naim Çağman 2018-10-01
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/549474
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author Muhammad Shahzad
Muhammad Rahim
Saleem Abdullah
Faisal Khan
author_facet Muhammad Shahzad
Muhammad Rahim
Saleem Abdullah
Faisal Khan
author_sort Muhammad Shahzad
collection DOAJ
container_title Journal of New Theory
description In this article, we introduced N-fuzzy bi-topological space by using the conceptsof fuzzy bi-topological space. We further define some basic properties of N-fuzzy bi-topologicalspaces, secondly we study the concepts of natural separation axioms of bi-topological in N-fuzzybi-topological space which is pair wise separation Axioms mixed topology with the help of twoN-fuzzy topologies of a N-fuzzy bi-topological space. Relation between such pairwise separationaxioms and natural fuzzy separation axioms of the mixed fuzzy topological space are investigated. 
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spelling doaj-art-c89024ef6f544dbebb4bdc30a45eba5e2025-08-20T01:23:17ZengNaim ÇağmanJournal of New Theory2149-14022018-10-01258152425N-Fuzzy BI-Topological Space and Separation AxiomsMuhammad ShahzadMuhammad RahimSaleem AbdullahFaisal KhanIn this article, we introduced N-fuzzy bi-topological space by using the conceptsof fuzzy bi-topological space. We further define some basic properties of N-fuzzy bi-topologicalspaces, secondly we study the concepts of natural separation axioms of bi-topological in N-fuzzybi-topological space which is pair wise separation Axioms mixed topology with the help of twoN-fuzzy topologies of a N-fuzzy bi-topological space. Relation between such pairwise separationaxioms and natural fuzzy separation axioms of the mixed fuzzy topological space are investigated. https://dergipark.org.tr/en/download/article-file/549474n-fuzzy setn-fuzzy bi-topological spacenatural separation axiomsnatural fuzzy separation axioms
spellingShingle Muhammad Shahzad
Muhammad Rahim
Saleem Abdullah
Faisal Khan
N-Fuzzy BI-Topological Space and Separation Axioms
n-fuzzy set
n-fuzzy bi-topological space
natural separation axioms
natural fuzzy separation axioms
title N-Fuzzy BI-Topological Space and Separation Axioms
title_full N-Fuzzy BI-Topological Space and Separation Axioms
title_fullStr N-Fuzzy BI-Topological Space and Separation Axioms
title_full_unstemmed N-Fuzzy BI-Topological Space and Separation Axioms
title_short N-Fuzzy BI-Topological Space and Separation Axioms
title_sort n fuzzy bi topological space and separation axioms
topic n-fuzzy set
n-fuzzy bi-topological space
natural separation axioms
natural fuzzy separation axioms
url https://dergipark.org.tr/en/download/article-file/549474
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AT muhammadrahim nfuzzybitopologicalspaceandseparationaxioms
AT saleemabdullah nfuzzybitopologicalspaceandseparationaxioms
AT faisalkhan nfuzzybitopologicalspaceandseparationaxioms