scholarly journals Connectedness Degrees inL-Fuzzy Topological Spaces

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Fu-Gui Shi
Keyword(s):  
General Topology ◽  
Topological Spaces ◽  
Closure Operators ◽  
Fuzzy Topological Spaces ◽  
Fuzzy Subsets

The notion of separatedness degrees ofL-fuzzy subsets is introduced inL-fuzzy topological spaces by means ofL-fuzzy closure operators. Furthermore, the notion of connectedness degrees ofL-fuzzy subsets is introduced. Many properties of connectedness in general topology are generalized toL-fuzzy topological spaces.

scholarly journals SP-closedness inL-fuzzy topological spaces

2002 ◽  
Vol 32 (5) ◽  
pp. 313-318
Author(s):  
Bai Shi-Zhong
Keyword(s):  
Topological Spaces ◽  
Fuzzy Lattice ◽  
Fuzzy Topological Spaces ◽  
Fuzzy Subsets

We introduce and studySP-closedness inL-fuzzy topological spaces, whereLis a fuzzy lattice.SP-closedness is defined for arbitraryL-fuzzy subsets.

scholarly journals More on Fuzzy Topological Spaces on Fuzzy Space

2021 ◽  
Vol 8 ◽  
pp. 21-26
Author(s):  
Abd Ulazeez Alkouri ◽  
Mohammad Hazaimeh ◽  
Ibrahim Jawarneh
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Separation Axioms ◽  
Fuzzy Space ◽  
Different Types ◽  
Fuzzy Topological Space ◽  
Isolated Points ◽  
Fuzzy Topological Spaces ◽  
Fuzzy Subsets

The fuzzy topological space was introduced by Dip in 1999 depending on the notion of fuzzy spaces. Dip’s approach helps to rectify the deviation in some definitions of fuzzy subsets in fuzzy topological spaces. In this paper, further definitions, and theorems on fuzzy topological space fill the lack in Dip’s article. Different types of fuzzy topological space on fuzzy space are presented such as co-finite, co-countable, right and left ray, and usual fuzzy topology. Furthermore, boundary, exterior, and isolated points of fuzzy sets are investigated and illustrated based on fuzzy spaces. Finally, separation axioms are studied on fuzzy spaces

L-FUZZY PS-COMPACTNESS

2002 ◽  
Vol 10 (02) ◽  
pp. 201-209 ◽  
Author(s):  
SHI-ZHONG BAI
Keyword(s):  
Topological Spaces ◽  
Fundamental Properties ◽  
Fuzzy Topological Spaces ◽  
Fuzzy Subsets

In this paper, the new compactness which is L-fuzzy PS-compactness in L-fuzzy topological spaces is introduced. It is defined for arbitrary L-fuzzy subsets. And some of its characteristic properties and fundamental properties are studied.

M GENERALIZED OPEN SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (4) ◽  
pp. 2185-2190
Author(s):  
J. Sathiyaraj ◽  
A. Vadivel ◽  
O. U. Maheshwari
Keyword(s):  
Topological Spaces ◽  
Fuzzy Topological Spaces

GENERALIZED FUZZY Z CLOSED SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (4) ◽  
pp. 2161-2166
Author(s):  
S. D. Sathaananthan ◽  
A. Vadivel ◽  
S. Tamilselvan ◽  
G. Saravanakumar
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
Fuzzy Topological Spaces

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.

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