scholarly journals Fuzzy Normal Topological Space in Quasi-Coincidence Sense

2018 ◽  
Vol 42 (2) ◽  
pp. 201-205
Author(s):  
Saikh Shahj Ahan Miah ◽  
Ruhul Amin ◽  
Sohel Rana
Keyword(s):  
Topological Space ◽  
Extension Property ◽  
Topological Spaces ◽  
Continuous Mappings ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

Three notions of normal property in fuzzy topological spaces using quasi-coincidence sense are introduced in this paper  and relationship among these and other such notions are established. It is also shown that all these notions satisfy ‘good extension’ property. It is observed that the notions are preserved under one-one, onto, fuzzy open, fuzzy closed and fuzzy continuous mappings. Journal of Bangladesh Academy of Sciences, Vol. 42, No. 2, 201-205, 2018

scholarly journals Mappings in Fuzzy Hausdorff Spaces in Quasi-Coincidence Sense

2017 ◽  
Vol 41 (1) ◽  
pp. 47-56
Author(s):  
Saikh Shahjahan Miah ◽  
Md Ruhul Amin
Keyword(s):  
Extension Property ◽  
Topological Spaces ◽  
Hausdorff Spaces ◽  
Continuous Mappings ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

In this paper, we introduce two notions of T2 property in fuzzy topological spaces by using quasi-coincidence sense and we establish relationship among our and other such notions. We also show that all these notions satisfy good extension property. Also hereditary, productive and projective properties are satisfied by these notions. We observe that all these concepts are preserved under one-one, onto, fuzzy open and fuzzy continuous mappings. Finally, we discuss initial and final fuzzy topologies on our second notion.Journal of Bangladesh Academy of Sciences, Vol. 41, No. 1, 47-56, 2017

scholarly journals Compactness in intuitionistic fuzzy topological spaces

2005 ◽  
Vol 2005 (1) ◽  
pp. 19-32 ◽  
Author(s):  
A. A. Ramadan ◽  
S. E. Abbas ◽  
A. A. Abd El-Latif
Keyword(s):  
Topological Space ◽  
Continuous Mapping ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Continuous Mappings ◽  
Weakly Continuous ◽  
Fuzzy Topological Space ◽  
Definition Of ◽  
Fuzzy Topological Spaces ◽  
Almost Continuous

We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.

scholarly journals Level Separation on Fuzzy Pairwise T0bitopological Space

2017 ◽  
Vol 41 (1) ◽  
pp. 57-68
Author(s):  
MS Hossain ◽  
Ummey Habiba
Keyword(s):  
Extension Property ◽  
Topological Spaces ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences ◽  
Bitopological Spaces

In this paper, we introduce five notions of level separation in T0 fuzzy bitopological spaces. We establish some relation among them. Also, we find relations between fuzzy topological spaces and corresponding fuzzy bitopological spaces in such spaces. Further, we prove that all these definitions satisfy “good extension” property. Finally, we prove that all these notionsare hereditary, productive and projective, moreover we observe that all concepts are preserved under one-one, onto and continuous mapping.Journal of Bangladesh Academy of Sciences, Vol. 41, No. 1, 57-68, 2017

scholarly journals On Q-Compactness in Intuitionistic Fuzzy Topological Spaces

2020 ◽  
Vol 43 (2) ◽  
pp. 197-203
Author(s):  
Md Aman Mahbub ◽  
Md Sahadat Hossain ◽  
M Altab Hossain
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

In this paper, two new notions of Q-compactness in an intuitionistic fuzzy topological space has been introduced. These two notions satisfy hereditary and productive property. Also it is shown that under some conditions Q-compactness preserved under continuous, one-one and onto function. Further some of their features have been introduced. Journal of Bangladesh Academy of Sciences, Vol. 43, No. 2, 197-203, 2019

scholarly journals On T2 Space in L-topological Space

2015 ◽  
Vol 39 (2) ◽  
pp. 203-211
Author(s):  
Rafiqul Islam ◽  
MS Hossain ◽  
DM Ali
Keyword(s):  
Topological Space ◽  
Extension Property ◽  
Topological Spaces ◽  
Academy Of Sciences

The purpose of this paper was to construct seven concepts of T2-space in L-topological spaces. After giving the fundamental definitions, the authors established some relations among them. Further, the authors proved that all these definitions satisfy ‘good extension’ property. Finally, it is shown that these definitions are hereditary, productive and projective.Journal of Bangladesh Academy of Sciences, Vol. 39, No. 2, 203-211, 2015

scholarly journals Separation Axioms in Intuitionistic Fuzzy Topological Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Amit Kumar Singh ◽  
Rekha Srivastava
Keyword(s):  
Topological Space ◽  
Left Adjoint ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Separation Axioms ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

In this paper we have studied separation axiomsTi,i=0,1,2in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functorsℬ:IF-Top→BF-Topand𝒟:BF-Top→IF-Topand observe that𝒟is left adjoint toℬ.

scholarly journals A Tychonoff theorem in intuitionistic fuzzy topological spaces

2004 ◽  
Vol 2004 (70) ◽  
pp. 3829-3837
Author(s):  
Doğan Çoker ◽  
A. Haydar Eş ◽  
Necla Turanli
Keyword(s):  
Topological Space ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Tychonoff Theorem

The purpose of this paper is to prove a Tychonoff theorem in the so-called “intuitionistic fuzzy topological spaces.” After giving the fundamental definitions, such as the definitions of intuitionistic fuzzy set, intuitionistic fuzzy topology, intuitionistic fuzzy topological space, fuzzy continuity, fuzzy compactness, and fuzzy dicompactness, we obtain several preservation properties and some characterizations concerning fuzzy compactness. Lastly we give a Tychonoff-like theorem.

scholarly journals On Some R1-Properties in Fuzzy Topological Spaces

2011 ◽  
Vol 4 (1) ◽  
pp. 21
Author(s):  
D. M. Ali ◽  
F. A. Azam
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Complete Answer ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

In this paper, we introduce six R1-axioms for fuzzy topological spaces (in short, fts). We study their interrelations, goodness and initialities. Besides we recall nine R0-axioms for fts. A complete answer is given with regard to all possible (R1=>R0)-type implications for fts.Keywords: Fuzzy topological space; Fuzzy R1-axiom; Fuzzy R0-axiom.© 2012 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v4i1.7044               J. Sci. Res. 4 (1), 21-32  (2012) 

A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

2015 ◽  
Vol 7 (1) ◽  
pp. 62-73 ◽  
Author(s):  
Hamid Reza Moradi
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Basic Properties ◽  
New Class ◽  
Properties And Characterization ◽  
Open Set ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Characterization Theorems

A nonzero fuzzy open set () of a fuzzy topological space is said to be fuzzy minimal open (resp. fuzzy maximal open) set if any fuzzy open set which is contained (resp. contains) in is either or itself (resp. either or itself). In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses of open sets. Some basic properties and characterization theorems are also to be investigated.

scholarly journals Fuzzyθ-closure operator on fuzzy topological spaces

1991 ◽  
Vol 14 (2) ◽  
pp. 309-314 ◽  
Author(s):  
M. N. Mukherjee ◽  
S. P. Sinha
Keyword(s):  
Topological Space ◽  
Fuzzy Sets ◽  
Closure Operator ◽  
Topological Spaces ◽  
Separation Axioms ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

The paper contains a study of fuzzyθ-closure operator,θ-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzyδ-closures are investigated. As applications of these concepts, certain functions as well as some spaces satisfying certain fuzzy separation axioms are characterized in terms of fuzzyθ-closures andδ-closures.

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