Fuzzy Connectedness in Interval-valued Fuzzy Topological Spaces

2009 ◽  
Author(s):  
Hongmei Ju ◽  
Xuehai Yuan
Keyword(s):  
Topological Spaces ◽  
Fuzzy Connectedness ◽  
Fuzzy Topological Spaces ◽  
Interval Valued

Suitable interval-valued intuitionistic fuzzy topological spaces

2021 ◽  
pp. 1-11
Author(s):  
O.R. Sayed ◽  
N.H. Sayed ◽  
Gui-Xiu Chen
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Intuitionistic Fuzzy ◽  
Set Operations ◽  
The Family ◽  
Fuzzy Topological Spaces ◽  
Interval Valued

In the present paper, a characterization of the intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy sets and their set-operations are given. By making use of these characterizations, the relationships between the interval-valued intuitionistic fuzzy topology and four fuzzy topologies associated to it are studied. For this reason, some subclasses of the family of interval-valued intuitionistic fuzzy topologies on a set which we call pre-suitable and suitable are introduced. Furthermore, the concepts of homeomorphism functions and compactness in the framework of interval-valued intuitionistic fuzzy topological spaces are introduced and studied.

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 Studies on Fuzzy Connectedness

2018 ◽  
Vol 41 (2) ◽  
pp. 175-182
Author(s):  
Sohel Rana ◽  
Ruhul Amin ◽  
Saikh Shahjahan Miah ◽  
Rafiqul Islam
Keyword(s):  
Topological Spaces ◽  
Fuzzy Connectedness ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

The aim of this paper is to study the fuzzy connectedness in Raja-Sethupathy- Lakshmivarahan’s sense. Some characterizations and the properties of this type of fuzzy connectedness on fuzzy topological spaces are studied. Interrelationships among fuzzy connectedness are examined. We prove that fuzzy connectedness is preserved under fuzzy continuous mapping.Journal of Bangladesh Academy of Sciences, Vol. 41, No. 2, 175-182, 2017

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
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