scholarly journals Regularity of fuzzy convergence spaces

2018 ◽  
Vol 16 (1) ◽  
pp. 1455-1465 ◽  
Author(s):  
Lingqiang Li ◽  
Qiu Jin ◽  
Bingxue Yao

Abstract(Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces.

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ting Yang ◽  
Sheng-Gang Li ◽  
William Zhu ◽  
Xiao-Fei Yang ◽  
Ahmed Mostafa Khalil

An L , M -fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L -filter (of crisp degree) on X to be convergent to a molecule in L X . By means of L , M -fuzzy topological neighborhood operators, we show that the category of L , M -fuzzy topological convergence spaces is isomorphic to the category of L , M -fuzzy topological spaces. Moreover, two characterizations of L -topological spaces are presented and the relationship with other convergence spaces is concretely constructed.


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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