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 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 Separation Axioms in Mixed Fuzzy Topological Spaces

1970 ◽  
Vol 32 (2) ◽  
Author(s):  
MH Rashid ◽  
DM Ali
Keyword(s):  
Fuzzy Set ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Separation Axioms ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

We deal with fuzzy topology. In this paper, we introduce the concept of mixed fuzzy topology which is constructed from two fuzzy topologies on the same fuzzy set X and study several features of this mixed fuzzy topology. Keywords: Fuzzy Topological Spaces, Mixed fuzzy topology doi: 10.3329/jbas.v32i2.2433 Journal of Bangladesh Academy of Sciences Vol.32(2) 2008 142-150

scholarly journals Certain Features of Fuzzy Contra-continuous functions

1970 ◽  
Vol 32 (1) ◽  
pp. 71-77
Author(s):  
MH Rashid ◽  
DM Ali
Keyword(s):  
Compact Space ◽  
Continuous Functions ◽  
Subject Classification ◽  
Topological Spaces ◽  
Fuzzy Graph ◽  
Closed Space ◽  
Ams Subject Classification ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

We deal with fuzzy topological spaces, fuzzy compact space, fuzzy S-closed space, fuzzy graph, fuzzy continuous functions and fuzzy LC-continuous functions. In this paper, we introduce the concepts of fuzzy contra-continuities and explore properties and relationships of such types of functions. Keywords: fuzzy contra-continuity, fuzzy S-closed space, fuzzy graph. AMS Subject Classification: 54A40. doi: 10.3329/jbas.v32i1.2444 Journal of Bangladesh Academy of Sciences, Vol. 32, No. 1, 71-77, 2008

scholarly journals On R0 Space in L-Topological Spaces

2016 ◽  
Vol 40 (2) ◽  
pp. 117-124
Author(s):  
Rafiqul Islam ◽  
MS Hossain
Keyword(s):  
Extension Property ◽  
Topological Spaces ◽  
Academy Of Sciences

R0 space in L-topological spaces are defined and studied. The authors give eight definitions of R0 space in L-topological spaces and discuss certain relationship among them. They showed that all of these satisfy ‘good extension’ property. Moreover, some of their other properties are obtained.Journal of Bangladesh Academy of Sciences, Vol. 40, No. 2, 117-124, 2016

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 Studies on Fuzzy Connectedness

2018 ◽  
Vol 41 (2) ◽  
pp. 175-182
Author(s):  
Sohel Rana ◽  
Ruhul Amin ◽  
Saikh Shahjahan Miah ◽  
Rafiqul Islam
Keyword(s):  
Topological Spaces ◽  
Fuzzy Connectedness ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

The aim of this paper is to study the fuzzy connectedness in Raja-Sethupathy- Lakshmivarahan’s sense. Some characterizations and the properties of this type of fuzzy connectedness on fuzzy topological spaces are studied. Interrelationships among fuzzy connectedness are examined. We prove that fuzzy connectedness is preserved under fuzzy continuous mapping.Journal of Bangladesh Academy of Sciences, Vol. 41, No. 2, 175-182, 2017

scholarly journals Some Features α-T0 Spaces in Supra Fuzzy Topology

2012 ◽  
Vol 36 (1) ◽  
pp. 61-69
Author(s):  
MF Hoque ◽  
MS Hossain ◽  
DM Ali
Keyword(s):  
Topological Spaces ◽  
Fuzzy Topology ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

Four concepts of T0 supra fuzzy topological spaces are introduced and studied in this paper. The workers also established some relationships among them and studied some other properties of  these spaces. DOI: http://dx.doi.org/10.3329/jbas.v36i1.10921 Journal of Bangladesh Academy of Sciences, Vol. 36, No. 1, 61-69, 2012

scholarly journals Products and Mappings of Intuitionistic Fuzzy T0, T1 and T2-Spaces

2015 ◽  
Vol 39 (2) ◽  
pp. 223-231
Author(s):  
Estiaq Ahmed ◽  
MS Hossain ◽  
DM Ali
Keyword(s):  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Basic Concepts ◽  
T1 And T2 ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by some workers. In this paper, the product and mappings of T0, T1 and T2-spaces have been studied.Journal of Bangladesh Academy of Sciences, Vol. 39, No. 2, 223-231, 2015

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

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