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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 3PP: 49-57 • 2025

Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces

Jaafer Hmood Eidi 1* ,
Aamena Al-Qabani 2 ,
Fadhel S. Fadhel 2 ,
Jehad R. Kider 3
1Mustansiriyah University, College of Education, Mathematics Department, Baghdad, Iraq
2Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq
3Department of Applied Sciences, University of Technology, Baghdad, Iraq
* Corresponding Author.
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 11, 2025 Revised: February 07, 2025 Accepted: March 16, 2025

Abstract

The primary goal of this paper is to study and introduce fuzzy anti-normed linear spaces, as well as, some additional properties concerning these spaces. From this point of view, some theoretical results are obtained; for example, it was proved that the space of all linear and fuzzy bounded operators over fuzzy anti-normed linear spaces is fuzzy complete. Moreover, some additional theoretical results are stated and proved.

Keywords

Fuzzy bounded operator Fuzzy anti-normed linear space Fuzzy anti-norm for bounded operator Fuzzy anti-metric spaces

References

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Eidi, Jaafer Hmood, Al-Qabani, Aamena, Fadhel, Fadhel S., Kider, Jehad R.. "Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, 2025, pp. 49-57. DOI: https://doi.org/10.54216/IJNS.260304
Eidi, J., Al-Qabani, A., Fadhel, F., Kider, J. (2025). Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science, Volume 26(Issue 3), 49-57. DOI: https://doi.org/10.54216/IJNS.260304
Eidi, Jaafer Hmood, Al-Qabani, Aamena, Fadhel, Fadhel S., Kider, Jehad R.. "Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces." International Journal of Neutrosophic Science Volume 26, no. Issue 3 (2025): 49-57. DOI: https://doi.org/10.54216/IJNS.260304
Eidi, J., Al-Qabani, A., Fadhel, F., Kider, J. (2025) 'Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces', International Journal of Neutrosophic Science, Volume 26(Issue 3), pp. 49-57. DOI: https://doi.org/10.54216/IJNS.260304
Eidi J, Al-Qabani A, Fadhel F, Kider J. Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 3):49-57. DOI: https://doi.org/10.54216/IJNS.260304
J. Eidi, A. Al-Qabani, F. Fadhel, J. Kider, "Fuzzy Bounded Linear Operators on Fuzzy Anti-Normed Spaces," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, pp. 49-57, 2025. DOI: https://doi.org/10.54216/IJNS.260304
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