scholarly journals Fuzzy pairwise regular bitopological spaces in quasi-coincidence sense

2021 ◽  
Vol 44 (2) ◽  
pp. 139-143
Author(s):  
Md Ruhul Amin ◽  
Md Sahadat Hossain ◽  
Saikh Shahjahan Miah
Keyword(s):  
Hereditary Property ◽  
Continuous Mappings ◽  
Academy Of Sciences ◽  
Bitopological Spaces

This paper introduces three notions of fuzzy pairwise regular between bitopological spaces in quasi-coincidence sense. Then, we investigate some relations between ours and other counterparts. We observe that all these concepts are preserved under one-one, onto, fuzzy closed, fuzzy open, and fuzzy continuous mappings. Also, the hereditary property is satisfied by these concepts. Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 139-143, 2020

γ-Open sets and γ-continuous mappings in fuzzy bitopological spaces

2013 ◽  
Vol 24 (3) ◽  
pp. 631-635 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Shyamal Debnath
Keyword(s):  
Continuous Mappings ◽  
Bitopological Spaces

scholarly journals On pairwise super continuous mappings in bitopological spaces

1991 ◽  
Vol 14 (4) ◽  
pp. 715-722 ◽  
Author(s):  
F. H. Khedr ◽  
A. M. Al-Shibani
Keyword(s):  
Strong Continuity ◽  
Complete Continuity ◽  
Continuous Mappings ◽  
Perfect Continuity ◽  
Bitopological Spaces

The aim of this paper is to define and study super-continuous mappings and some other forms of continuity such as strong continuity, perfect continuity and complete continuity in bitopological spaces and investigate the relations between these kinds of continuity and their effects on some kinds of spaces.

scholarly journals Properties of Separation Axioms in Bitopological Spaces

2020 ◽  
Vol 43 (2) ◽  
pp. 191-195
Author(s):  
Rupaya Roshmi ◽  
MS Hossain
Keyword(s):  
Topological Property ◽  
Bitopological Space ◽  
Separation Axioms ◽  
Academy Of Sciences ◽  
Bitopological Spaces

In this paper, three notions of separation axioms in bitopological space are discussed. Some relations of topology and bitopology in such notions have been found. Further, that these notions are hereditary and topological property are proved. Journal of Bangladesh Academy of Sciences, Vol. 43, No. 2, 191-195, 2019

𝒢Θτi⋆τj-Fuzzy Closure Operator

2020 ◽  
Vol 16 (01) ◽  
pp. 123-141
Author(s):  
Fahad Alsharari ◽  
Yaser. M. Saber
Keyword(s):  
Closure Operator ◽  
Closed Sets ◽  
New Class ◽  
Continuous Mappings ◽  
Fuzzy Ideal ◽  
Bitopological Spaces

In this paper, a new class of fuzzy ideal sets, namely the [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Šostak sense. This class falls strictly in between the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-fuzzy ideal closed sets and the class of [Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets. Furthermore, by using the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets we establish a new fuzzy closure operator which generates fuzzy bitopological spaces in Šostak sense. Finally, the [Formula: see text] strongly-[Formula: see text]-fuzzy ideal continuous, [Formula: see text]-[Formula: see text]-generalized fuzzy ideal continuous and [Formula: see text]-[Formula: see text]-generalized fuzzy ideal irresolute mappings are introduced, and we show the [Formula: see text]-[Formula: see text]-generalized fuzzy ideal continuous properly fuzzy ideal bitopological spaces in Šostak sense (for short, fibtss) in between [Formula: see text] strongly-[Formula: see text]-fuzzy ideal continuous and [Formula: see text]-generalized 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 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 Pairwise Weakly Regular-Lindelöf Spaces

2008 ◽  
Vol 2008 ◽  
pp. 1-13 ◽  
Author(s):  
Adem Kılıçman ◽  
Zabidin Salleh
Keyword(s):  
Hereditary Property ◽  
Bitopological Spaces

We will introduce and study the pairwise weakly regular-Lindelöf bitopological spaces and obtain some results. Furthermore, we study the pairwise weakly regular-Lindelöf subspaces and subsets, and investigate some of their characterizations. We also show that a pairwise weakly regular-Lindelöf property is not a hereditary property. Some counterexamples will be considered in order to establish some of their relations.

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