Small and Large Inductive Dimensions of Intuitionistic Fuzzy Topological Spaces

2020 ◽  
Vol 12 (3) ◽  
pp. 413-417
Author(s):  
Abdulgawad A. Q. Al-Qubati ◽  
M-El Sayed ◽  
Hadba F. Al-Qahtani
Keyword(s):  
Topological Property ◽  
Topological Spaces ◽  
Fundamental Properties ◽  
Intuitionistic Fuzzy ◽  
Inductive Dimension ◽  
Small Inductive Dimension ◽  
Fuzzy Topological Spaces

The main purpose of this paper is to present some fundamental properties of small and large inductive dimensions in intuitionistic fuzzy topological spaces. Our results can be regarded as a study of their properties such as proves subset theorems, zero dimensionality and topological property of an intuitionistic fuzzy small inductive dimension. Furthermore, we introduce a large inductive dimension of intuitionistic fuzzy bi-compact and normal spaces.

scholarly journals Dimension theory and fuzzy topological spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-8
Author(s):  
S. S. Benchalli ◽  
B. M. Ittanagi ◽  
P. G. Patil
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Dimension Theory ◽  
Dimension Function ◽  
Inductive Dimension ◽  
Fuzzy Topological Space ◽  
Small Inductive Dimension ◽  
Dimension Functions ◽  
Fuzzy Topological Spaces

J. M. Aarts introduced and studied a new dimension function,Hind, in 1975 and obtained several results on this function. In this paper, a new local inductive dimension function called local huge inductive dimension function denoted bylocHindis introduced and studied. Furthermore, an effort is made to introduce and study dimension functions for fuzzy topological spaces. It has been possible to introduce and study the small inductive dimension functionindfXand large inductive dimension functionindfXfor a fuzzy topological spaceX.

scholarly journals Separation Axioms in Intuitionistic Fuzzy Topological Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Amit Kumar Singh ◽  
Rekha Srivastava
Keyword(s):  
Topological Space ◽  
Left Adjoint ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Separation Axioms ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

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.

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 Intuitionistic Fuzzy Topological Spaces Model

2020 ◽  
Vol 55 (2) ◽  
Author(s):  
Hind Fadhil Abbas
Keyword(s):  
Hausdorff Space ◽  
Basic Structure ◽  
Normal Space ◽  
Regular Space ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Separation Axioms ◽  
Fuzzy Ideal ◽  
Scientific Phenomenon ◽  
Fuzzy Topological Spaces

The fusion of technology and science is a very complex and scientific phenomenon that still carries mysteries that need to be understood. To unravel these phenomena, mathematical models are beneficial to treat different systems with unpredictable system elements. Here, the generalized intuitionistic fuzzy ideal is studied with topological space. These concepts are useful to analyze new generalized intuitionistic models. The basic structure is studied here with various relations between the generalized intuitionistic fuzzy ideals and the generalized intuitionistic fuzzy topologies. This study includes intuitionistic fuzzy topological spaces (IFS); the fundamental definitions of intuitionistic fuzzy Hausdorff space; intuitionistic fuzzy regular space; intuitionistic fuzzy normal space; intuitionistic fuzzy continuity; operations on IFS, the compactness and separation axioms.

scholarly journals On d-Homeómórphism in intuitionistic fuzzy topological spaces

2018 ◽  
Vol 1139 ◽  
pp. 012068
Author(s):  
Jude Immaculate ◽  
Evanzalin Ebenanjar ◽  
J Sebastian Terence
Keyword(s):  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Spaces

Intuitionistic Fuzzy γ-Continuity

2009 ◽  
Vol 52 (4) ◽  
pp. 544-554 ◽  
Author(s):  
I. M. Hanafy
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Spaces

AbstractThis paper introduces the concepts of fuzzy γ-open sets and fuzzy γ-continuity in intuitionistic fuzzy topological spaces. After defining the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy γ-open sets and intuitionistic fuzzy γ-continuity and other results related topological concepts.

scholarly journals On d-Homeómórphism in intuitionistic fuzzy topological spaces

2018 ◽  
Vol 1139 ◽  
pp. 012058
Author(s):  
Jude Immaculate ◽  
Evanzalin Ebenanjar ◽  
J Sebastian Terence
Keyword(s):  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Spaces

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.

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