The Y-Compactness in L-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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New Boundary Sets In Fuzzy Topological Spaces

International Journal of Mathematics Trends and Technology ◽

10.14445/22315373/ijmtt-v67i4p512 ◽

2021 ◽

Vol 67 (4) ◽

pp. 88-95

Author(s):

Shiv appa ◽

Siddapur S

Keyword(s):

Topological Spaces ◽

Boundary Sets ◽

Fuzzy Topological Spaces

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$$\boldsymbol{q}$$-Rung Orthopair Fuzzy Topological Spaces

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080221020219 ◽

2021 ◽

Vol 42 (2) ◽

pp. 470-478

Author(s):

Ezgi Türkarslan ◽

Mehmet Ünver ◽

Murat Olgun

Keyword(s):

Topological Spaces ◽

Fuzzy Topological Spaces

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COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES

Proyecciones (Antofagasta) ◽

10.4067/s0716-09172010000200005 ◽

2010 ◽

Vol 29 (2) ◽

Author(s):

Run Xiang Li ◽

Fu Gui Shi

Keyword(s):

Topological Spaces ◽

Countable Compactness ◽

Fuzzy Topological Spaces

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Characterizations of minimal T3 L-fuzzy topological spaces

Information Sciences ◽

10.1016/s0020-0255(00)00024-4 ◽

2000 ◽

Vol 128 (1-2) ◽

pp. 119-126 ◽

Cited By ~ 1

Author(s):

Sheng-Gang Li ◽

Zong-Ben Xu

Keyword(s):

Topological Spaces ◽

Fuzzy Topological Spaces

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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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