On d-Homeómórphism in intuitionistic fuzzy topological spaces

Separation Axioms in Intuitionistic Fuzzy Topological Spaces

Advances in Fuzzy Systems ◽

10.1155/2012/604396 ◽

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.

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A Tychonoff theorem in intuitionistic fuzzy topological spaces

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171204403603 ◽

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.

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Intuitionistic Fuzzy Topological Spaces Model

Journal of Southwest Jiaotong University ◽

10.35741/issn.0258-2724.55.2.25 ◽

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.

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Preorders and intuitionistic fuzzy topological spaces

Journal of Mathematical and Computational Science ◽

10.28919/jmcs/5574 ◽

2021 ◽

Keyword(s):

Topological Spaces ◽

Intuitionistic Fuzzy ◽

Fuzzy Topological Spaces

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Intuitionistic Fuzzy γ-Continuity

Canadian Mathematical Bulletin ◽

10.4153/cmb-2009-055-0 ◽

2009 ◽

Vol 52 (4) ◽

pp. 544-554 ◽

Cited By ~ 1

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.

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