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International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(4): 423-430

Published online December 25, 2021

https://doi.org/10.5391/IJFIS.2021.21.4.423

© The Korean Institute of Intelligent Systems

Separation Axioms in Mixed Fuzzy Topological Spaces

Gautam Chandra Ray and Hari Prasad Chetri

Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India

Correspondence to :
Gautam Chandra Ray (gautomofcit@gmail.com)
*These authors contributed equally to this work.

Received: January 3, 2021; Revised: September 12, 2021; Accepted: September 15, 2021

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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Herein, we define fuzzy T0-space, fuzzy T1-space, fuzzy T2 (or Hausdorff), as well as fuzzy regular and fuzzy normal spaces in mixed fuzzy topological spaces, and then establish relationships among these spaces. We provide some results for the abovementioned spaces in mixed fuzzy topological spaces.

Keywords: Fuzzy topological spaces, Mixed fuzzy topology, Separation Axioms, T0-space, T1-space, T2 (or Hausdorff) spaces

Conflict of Interest

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No potential conflict of interest relevant to this article was reported.

Biographies

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Gautam Chandra Ray received a Ph.D. degree in Mathematics from Gauhati University, Assam, India. He is an assistant professor in the Department of Mathematics in CIT Kokrajhar, Assam, India. His research interests include neutrosophic sets and logic, fuzzy sets and systems, topology, and graph theory.

E-mail: gautomofcit@gmail.com

Hari Prasad Chetri received his M.Sc. degree in mathematics from Gauhati University, India. He is a research scholar in the Department of Mathematics of the Central Institute of Technology, Kokrajhar, India. His research interests include general topology, fuzzy topology, and algebra.

E-mail: hariprasadchetri1234@gmail.com

Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(4): 423-430

Published online December 25, 2021 https://doi.org/10.5391/IJFIS.2021.21.4.423

Copyright © The Korean Institute of Intelligent Systems.

Separation Axioms in Mixed Fuzzy Topological Spaces

Gautam Chandra Ray and Hari Prasad Chetri

Department of Mathematics, Central Institute of Technology, Kokrajhar, Assam, India

Correspondence to:Gautam Chandra Ray (gautomofcit@gmail.com)
*These authors contributed equally to this work.

Received: January 3, 2021; Revised: September 12, 2021; Accepted: September 15, 2021

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Herein, we define fuzzy T0-space, fuzzy T1-space, fuzzy T2 (or Hausdorff), as well as fuzzy regular and fuzzy normal spaces in mixed fuzzy topological spaces, and then establish relationships among these spaces. We provide some results for the abovementioned spaces in mixed fuzzy topological spaces.

Keywords: Fuzzy topological spaces, Mixed fuzzy topology, Separation Axioms, T0-space, T1-space, T2 (or Hausdorff) spaces

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