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 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 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 induced map f# in fuzzy set theory and its applications to fuzzy continuity

2021 ◽  
Author(s):  
Sandeep Kaur ◽  
Nitakshi Goyal
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Closure Operator ◽  
Topological Spaces ◽  
Continuous Mappings ◽  
New Vision ◽  
Saturated Sets ◽  
Interior Operator ◽  
Fuzzy Topological Spaces

Abstract In this paper, we introduce # image of a fuzzy set which gives a induced map f # corresponding to any function f : X → Y , where X and Y are crisp sets. With this, we present a new vision of studying fuzzy continuous mappings in fuzzy topological spaces where fuzzy continuity explains the term of closeness in the mathematical models. We also define the concept of fuzzy saturated sets which helps us to prove some new characterizations of fuzzy continuous mappings in terms of interior operator rather than closure operator.

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 On Intuitionistic Fuzzyβ-Almost Compactness andβ-Nearly Compactness

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
R. Renuka ◽  
V. Seenivasan
Keyword(s):  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Continuous Mappings ◽  
Fuzzy Topological Spaces

The concept of intuitionistic fuzzyβ-almost compactness and intuitionistic fuzzyβ-nearly compactness in intuitionistic fuzzy topological spaces is introduced and studied. Besides giving characterizations of these spaces, we study some of their properties. Also, we investigate the behavior of intuitionistic fuzzyβ-compactness, intuitionistic fuzzyβ-almost compactness, and intuitionistic fuzzyβ-nearly compactness under several types of intuitionistic fuzzy continuous mappings.

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 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.

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