scholarly journals Convergence Classes of L -Filters in L , M -Fuzzy Topological Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ting Yang ◽  
Sheng-Gang Li ◽  
William Zhu ◽  
Xiao-Fei Yang ◽  
Ahmed Mostafa Khalil
Keyword(s):  
Topological Spaces ◽  
Convergence Spaces ◽  
Topological Convergence ◽  
Convergence Structure ◽  
Fuzzy Topological Spaces ◽  
The Relationship

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.

ON THE CONVERGENCE STRUCTURE OF L-TOPOLOGICAL SPACES AND THE CONTINUITY IN L-TOPOLOGICAL SPACES

2007 ◽  
Vol 03 (01) ◽  
pp. 1-25 ◽  
Author(s):  
MUSTAFA DEMİRCİ
Keyword(s):  
Complete Lattice ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Binary Operations ◽  
Comprehensive Theory ◽  
Convergence Structure ◽  
Fuzzy Topological Spaces

A general and a comprehensive theory of fuzzy topological spaces on the basis of a fixed quadruple M = (L, ≤, ⊗, *), where (L, ≤), ⊗ and *, respectively, denote a complete lattice and binary operations on L satisfying some further axioms, was introduced by Höhle and Šostak. L-topological spaces, convergence structure of L-topological spaces and L-continuous functions form an important part of their work. The present paper continues the study in this area, and provides new results on the convergence structure of L-topological spaces and the continuity in L-topological spaces.

scholarly journals A study on compactness in intuitionistic fuzzy topological spaces

2021 ◽  
Vol 5 (2) ◽  
pp. 102-108
Author(s):  
Srinivasan R ◽  
Kamalakkanni M
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
The Relationship

The purpose of this paper is to introduce and study the compactness in intuitionistic fuzzy topological spaces. Here we define two new notions of intuitionistic fuzzy compactness in intuitionistic fuzzy topological space and find their relation. Also we find the relationship between intuitionistic general compactness and intuitionistic fuzzy compactness. Here we see that our notions satisfy hereditary and productive property.

scholarly journals On $\delta$-continuity in mixed fuzzy topological spaces

2014 ◽  
Vol 32 (2) ◽  
pp. 175 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Gautam Chandra Ray
Keyword(s):  
Topological Spaces ◽  
Fuzzy Topological Spaces ◽  
The Relationship

In this paper we introduce and study the notion of d-continuity continuity on mixed fuzzy topological spaces. We have investigated this notion in the light of the notion of q-neighbourhoods, q-coincidence, fuzzy d-closure, fuzzy d-interior. In this paper we have established the relationship between fuzzy continuity and fuzzy d-continuity in mixed fuzzy topological spaces.

scholarly journals Fuzzy Soft Connected Sets in Fuzzy Soft Topological Spaces

2016 ◽  
Vol 12 (8) ◽  
pp. 6473-6888 ◽  
Author(s):  
A Kandil ◽  
O. A. E Tantawy
Keyword(s):  
Topological Spaces ◽  
Connected Sets ◽  
Fuzzy Topological Spaces ◽  
Separated Sets ◽  
The Relationship

In this paper we introduce some types of fuzzy soft separated sets and study some of thier preperties. Next, the notion of connectedness in fuzzy topological spaces due to Ming and Ming, Zheng etc., extended to fuzzy soft topological spaces. The relationship between these types of connectedness in fuzzy soft topological spaces is investigated with the help of number of counter examples.

scholarly journals L-Fuzzy Connectedness in Stratified Order-Preserving Operator Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Xiu-Yun Wu ◽  
Li-Li Xie ◽  
Liang-Sheng Huang
Keyword(s):  
Topological Spaces ◽  
Operator Spaces ◽  
Fuzzy Connectedness ◽  
Basic Properties ◽  
General Order ◽  
Fuzzy Topological Spaces ◽  
The Relationship

The concepts of stratified order-preserving operators and stratified continuity are introduced inL-fuzzy topological spaces. Their basic properties are discussed, and their characteristic properties are observed. The relationship between induced stratified order-preserving topological spaces and general order-preserving operator topological spaces is studied. Finally, stratified connectedness is introduced, and its properties are studied systematically.

scholarly journals Several Types of Totally Continuous Functions in Double Fuzzy Topological Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Fatimah M. Mohammed ◽  
M. S. M. Noorani ◽  
A. Ghareeb
Keyword(s):  
Continuous Functions ◽  
Topological Spaces ◽  
Fuzzy Topological Spaces ◽  
The Relationship ◽  
Semicontinuous Functions

We introduce the notions of totally continuous functions, totally semicontinuous functions, and semitotally continuous functions in double fuzzy topological spaces. Their characterizations and the relationship with other already known kinds of functions are introduced and discussed.

scholarly journals Regularity of fuzzy convergence spaces

2018 ◽  
Vol 16 (1) ◽  
pp. 1455-1465 ◽  
Author(s):  
Lingqiang Li ◽  
Qiu Jin ◽  
Bingxue Yao
Keyword(s):  
Topological Spaces ◽  
Convergence Spaces ◽  
Diagonal Condition ◽  
Fuzzy Topological Spaces ◽  
Fuzzy Convergence

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.

scholarly journals On Intuitionistic fuzzy T0 spaces

2014 ◽  
Vol 38 (2) ◽  
pp. 197-207
Author(s):  
Estiaq Ahmed ◽  
MS Hossain ◽  
DM Ali
Keyword(s):  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences ◽  
The Relationship

In this paper, intuitionistic fuzzy T0 spaces were studied. The authors investigated some relations among them and also investigated the relationship between intuitionistic fuzzy topological spaces and intuitionistic topological spaces DOI: http://dx.doi.org/10.3329/jbas.v38i2.21344 Journal of Bangladesh Academy of Sciences, Vol. 38, No. 2, 197-207, 2014

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
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