scholarly journals COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES

2010 ◽  
Vol 29 (2) ◽  
Author(s):  
Run Xiang Li ◽  
Fu Gui Shi
Author(s):  
Halis Aygün ◽  
A. Arzu Bural ◽  
S. R. T. Kudri

We introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary -fuzzy sets in -fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain different characterizations of fuzzy inverse compactness.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Xiongwei Zhang ◽  
Ibtesam Alshammari ◽  
A. Ghareeb

Based on the concepts of pseudocomplement of L -subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL -fuzzy compactness degree and the Lindelöf property degree of an L -subset in RL -fuzzy topology are introduced and characterized. Since L -fuzzy topology in the sense of Kubiak and Šostak is a special case of RL -fuzzy topology, the degrees of RL -fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in L -fuzzy topology.


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

2020 ◽  
Vol 9 (4) ◽  
pp. 2161-2166
Author(s):  
S. D. Sathaananthan ◽  
A. Vadivel ◽  
S. Tamilselvan ◽  
G. Saravanakumar

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Amit Kumar Singh ◽  
Rekha Srivastava

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.


2021 ◽  
Vol 42 (2) ◽  
pp. 470-478
Author(s):  
Ezgi Türkarslan ◽  
Mehmet Ünver ◽  
Murat Olgun

2000 ◽  
Vol 128 (1-2) ◽  
pp. 119-126 ◽  
Author(s):  
Sheng-Gang Li ◽  
Zong-Ben Xu

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