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International Journal of Fuzzy Logic and Intelligent Systems 2023; 23(3): 311-317

Published online September 25, 2023

https://doi.org/10.5391/IJFIS.2023.23.3.311

© The Korean Institute of Intelligent Systems

Study on Fuzzy ℑ*-Structure Compact-Open Topology

Mitali Routaray1, Prakash Kumar Sahu2, and Sunima Naik1

1Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, India
2Department of Mathematics, Model Degree College, Nayagarh, Odisha, India

Correspondence to :
Mitali Routaray (mitaray8@gmail.com)

Received: September 2, 2021; Revised: May 5, 2023; Accepted: August 28, 2023

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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This study introduces the concepts of a fuzzy ℑ*-structure locally compact space and fuzzy ℑ*-structure evaluation maps are introduced and a fuzzy ℑ*-structure covering the map between two fuzzy ℑ*-structure spaces is studied. In addition, the concept of the fuzzy ℑ*-structure exponential law and related theories are demonstrated. Finally, the fuzzy ℑ*-structure compact-open topology is introduced and some of its results are explained.

Keywords: Fuzzy ℑ*-structure space, Fuzzy ℑ*-structure Hausdorff space, Fuzzy ℑ*-structure compact spaces, Fuzzy ℑ*-structure compact-open topology

Conflict of Interest

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

Biographies

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Mitali Routaray is currently working as an assistant professor in the Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, Odisha, India. She received her Ph.D. in Mathematics from the National Institute of Technology, Rourkela, 2017. She worked in theoretical and applied mathematics.

Prakash Kumar Sahu is currently an assistant professor at Department of Mathematics, Model Degree College, Nayagarh, Odisha, India. He received his Ph.D. in Mathematics from National Institute of Technology, Rourkela, India, 2016. His broad research areas include applied mathematics, numerical analysis, differential equations, integral equations, fractional calculus, and fuzzy topology.

Sunima Naik is currently pursuing her Ph.D. in Mathematics in the Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, Odisha, India. Her research interests include fuzzy topologies and category theories.

Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2023; 23(3): 311-317

Published online September 25, 2023 https://doi.org/10.5391/IJFIS.2023.23.3.311

Copyright © The Korean Institute of Intelligent Systems.

Study on Fuzzy ℑ*-Structure Compact-Open Topology

Mitali Routaray1, Prakash Kumar Sahu2, and Sunima Naik1

1Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, India
2Department of Mathematics, Model Degree College, Nayagarh, Odisha, India

Correspondence to:Mitali Routaray (mitaray8@gmail.com)

Received: September 2, 2021; Revised: May 5, 2023; Accepted: August 28, 2023

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

This study introduces the concepts of a fuzzy ℑ*-structure locally compact space and fuzzy ℑ*-structure evaluation maps are introduced and a fuzzy ℑ*-structure covering the map between two fuzzy ℑ*-structure spaces is studied. In addition, the concept of the fuzzy ℑ*-structure exponential law and related theories are demonstrated. Finally, the fuzzy ℑ*-structure compact-open topology is introduced and some of its results are explained.

Keywords: Fuzzy &image,*-structure space, Fuzzy &image,*-structure Hausdorff space, Fuzzy &image,*-structure compact spaces, Fuzzy &image,*-structure compact-open topology

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