CARTESIAN PRODUCT OF INTUITIONISTIC FUZZY RECTANGULAR n-NORMED SPACES

Authors

  • layla abbas zarzour Department of Mathematics, College of Education for Pure Science,Thi-qar University
  • mohammed jassim mohammed

DOI:

https://doi.org/10.32792/jeps.v15i2.596

Keywords:

Rectangular n-normed space, fuzzy rectangular n-normed space, intuitionistic fuzzy rectangular n-normed space

Abstract

This study presents a new definition of the intuitionistic fuzzy rectangular n-normed space, as well as the Cartesian product of these spaces. Furthermore, Cauchy sequences, convergence, and completeness for the Cartesian product of intuitionistic fuzzy rectangular n-normed spaces are introduced, we also provide some results related to these concepts.

References

K. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy sets and systems 20, pp. 87-96, 1986.

G. A. Ataa and M. J. Mohammed, “On Intuitionistic fuzzy topological vector space,” J. Coll. Educ. Pure Sci., vol. 4, pp. 32–51, 2014.

A. Branciari, “A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces,” Publ Math Debr., vol. 57, no. 1–2, pp. 31–37, 2000.

M. R. Badr and M. J. Mohammed, “A Study of Boundedness in rectangular fuzzy n-normed spaces,” J. Educ. Pure Sci.-Univ. Thi-Qar, vol. 14, no. 2, 2024.

S. Gähler, Lineare 2‐normierte Räume, Math. Nachrichten, vol. 28, no. 1‐2, pp. 1–43, 1964.

S. Gähler, “Untersuchungen ber verallgemeinerte m-metrische R ume. I,” Math. Nachrichten, vol. 40, no. 1–3, pp. 165–189, 1969.

A. G. Jasim and M. J. Mohammed, “Common fixed point theorems in fuzzy normed spaces and intuitionistic fuzzy normed spaces,” J. Coll. Educ. Pure Sci., vol. 7, no. 2, 2017.

A. Katsaras, “Fuzzy topological vector spaces II,” Fuzzy Sets Syst., vol. 12, no. 2, pp. 143–154, 1984.

S. J. Mohammed and M. J. Mohammed, some results on rectangular fuzzy normed space and intuitionistic rectangular fuzzy normed space, M.Sc. Thesis, Thi-Qar University,2021.

A. Narayanan and S. Vijayabalaji, “Fuzzy n‐normed linear space,” Int. J. Math. Math. Sci., vol. 2005, no. 24, pp. 3963–3977, 2005.

B. Schweizer and A. Sklar, “Statistical metric spaces,” Pac. J Math, vol. 10, no. 1, pp. 313–334, 1960.

R. Saadati and J. H. Park, “On the intuitionistic fuzzy topological spaces,” Chaos Solitons Fractals, vol. 27, no. 2, pp. 331–344, 2006.

N. H. Sharif and M. J. Mohammed,“ Some results related with b-intuitionistic fuzzy normed spaces,” J. Coll. Educ. Pure Sci., vol. 10, no. 2, 2020.

S. Vijayabalaji, N. Thillaigovindan, and Y.Bae. Jun, “Intuitionistic fuzzy n-normed linear space,” Bull. Korean Math. Soc., vol. 44, no. 2, pp. 291–308, 2007.

Downloads

Published

2025-06-01

Issue

Vol. 15 No. 2 (2025): JOURNAL OF EDUCATION FOR PURE SCIENCE

Section

Articles

License

Copyright (c) 2025 Journal of Education for Pure Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Copyright Policy

Authors retain copyright of their articles published in the Journal of Education for Pure Science (JEPS).

By submitting their work, authors grant the journal a non-exclusive license to publish, distribute, and archive the article in all formats and media.

License

All articles published in JEPS are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

This license permits unrestricted use, distribution, and reproduction in any medium, provided that the original author(s) and the source are properly credited.

Author Rights

Authors have the right to:

  • Share their articles on personal websites, institutional repositories, and academic platforms

  • Reuse their work in future research and publications

  • Distribute the published version without restriction

Journal Rights

The journal retains the right to:

  • Publish and archive the articles

  • Include them in indexing and archiving systems such as LOCKSS and CLOCKSS

  • Promote and disseminate the published work

Responsibility

The contents of all articles are the sole responsibility of the authors. The journal, editors, and editorial board are not responsible for any errors, opinions, or statements expressed in the published articles.

Open Access Statement

JEPS provides immediate open access to its content, supporting the principle that making research freely available to the public enhances global knowledge exchange.

This work is licensed under a Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/