CARTESIAN PRODUCT OF INTUITIONISTIC FUZZY RECTANGULAR n-NORMED SPACES

المؤلفون

  • 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

الكلمات المفتاحية:

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

الملخص

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.

المراجع

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.

التنزيلات

منشور

2025-06-01