scholarly journals Intuitionistic Fuzzy Topology and Intuitionistic Fuzzy Preorder

2015 ◽  
Vol 15 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Sang Min Yun ◽  
Seok Jong Lee
Keyword(s):  
Fuzzy Topology ◽  
Intuitionistic Fuzzy

scholarly journals A Tychonoff theorem in intuitionistic fuzzy topological spaces

2004 ◽  
Vol 2004 (70) ◽  
pp. 3829-3837
Author(s):  
Doğan Çoker ◽  
A. Haydar Eş ◽  
Necla Turanli
Keyword(s):  
Topological Space ◽  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Tychonoff Theorem

The purpose of this paper is to prove a Tychonoff theorem in the so-called “intuitionistic fuzzy topological spaces.” After giving the fundamental definitions, such as the definitions of intuitionistic fuzzy set, intuitionistic fuzzy topology, intuitionistic fuzzy topological space, fuzzy continuity, fuzzy compactness, and fuzzy dicompactness, we obtain several preservation properties and some characterizations concerning fuzzy compactness. Lastly we give a Tychonoff-like theorem.

scholarly journals A Study of Frontier and Semifrontier in Intuitionistic Fuzzy Topological Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Athar Kharal
Keyword(s):  
Open Problem ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Classical Form ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Spaces

Notions of frontier and semifrontier in intuitionistic fuzzy topology have been studied and several of their properties, characterizations, and examples established. Many counter-examples have been presented to point divergences between the IF topology and its classical form. The paper also presents an open problem and one of its weaker forms.

scholarly journals Intuitionistic fuzzy proximity spaces

2004 ◽  
Vol 2004 (49) ◽  
pp. 2617-2628 ◽  
Author(s):  
Seok Jong Lee ◽  
Eun Pyo Lee
Keyword(s):  
Fuzzy Topology ◽  
Intuitionistic Fuzzy ◽  
The Relationship ◽  
Proximity Spaces

We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology.

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 A new type of paranorm intuitionistic fuzzy Zweier I-convergent double sequence spaces

Filomat ◽  
2019 ◽  
Vol 33 (5) ◽  
pp. 1279-1286 ◽  
Author(s):  
Vakeel Khan ◽  
Y Yasmeen ◽  
Hira Fatima ◽  
Henna Altaf
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Fuzzy Topology ◽  
Real Numbers ◽  
Positive Real ◽  
Double Sequence Spaces ◽  
Intuitionistic Fuzzy ◽  
New Type

In this article we introduce the paranorm type intuitionistic fuzzy Zweier I-convergent double sequence spaces 2ZI(?,v)(p) and 2ZI 0(?,v)(p) for p = (pij) a double sequence of positive real numbers and study the fuzzy topology on these spaces.

scholarly journals on ideal convergence of triple sequences in intuitionistic Fuzzy normed space defined by compact operator

2021 ◽  
Vol 40 (5) ◽  
pp. 1227-1247
Author(s):  
Vakeel A. Khan ◽  
Mohd. Imran Idrisi ◽  
Umme Tuba
Keyword(s):  
Compact Operator ◽  
Normed Space ◽  
Fuzzy Topology ◽  
Fuzzy Normed Space ◽  
Ideal Convergence ◽  
Fundamental Properties ◽  
Intuitionistic Fuzzy ◽  
Intuitionistic Fuzzy Normed Space ◽  
Inclusion Relations

The main purpose of this article is to introduce and study some new spaces of I-convergence of triple sequences in intuitionistic fuzzy normed space defined by compact operator i.e 3SI (μ,ν)(T ) and 3SI0(μ,ν)(T ) and examine some fundamental properties, fuzzy topology and verify inclusion relations lying under these spaces.

scholarly journals Connectedness concept in intuitionistic fuzzy topological spaces

2021 ◽  
Vol 27 (1) ◽  
pp. 72-82
Author(s):  
Md. Aman Mahbub ◽  
◽  
Md. Sahadat Hossain ◽  
M. Altab Hossain ◽  
◽  
...  
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

The purpose of this paper is to establish the connectedness in intuitionistic fuzzy topological space. In this paper we give six notions of separatedness, connectedness and total connectedness and one notion of T1-space in intuitionistic fuzzy topological space. Also, we find a relation between classical topology and intuitionistic fuzzy topology. Further, we show that connectedness in intuitionistic fuzzy topological spaces are productive and we demonstrate some of its features.

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