On ((Τ ) ̃^*-N)^η-Fuzzy Soft Quasi Normal Operators

Authors

  • Saad Abdulsada Assi Academic Education, Shiite endowment, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.31670

Keywords:

fuzzy Soft vector, fuzzy soft normed, fuzzy soft inner produce

Abstract

The concept of fuzzy soft sets is considered more versatile and widely applicable than traditional soft set theory, as the latter struggles to handle the fuzziness of problem parameters effectively. In this study, we introduce and describe the  fuzzy soft quasinormal operator in a more concise manner. This operator is defined on a fuzzy soft Hilbert space, based on the notion of a fuzzy soft vector space, which has been adapted to an FS-inner product space in this work. We present various characterizations and results related to the  fuzzy soft quasinormal operator, demonstrating that it serves as an appropriate example of FS-Hilbert spaces, alongside other related examples. Furthermore, we explore the relationships between these categories. Finally, we provide some fundamental guidelines on this topic.

Downloads

Download data is not yet available.

References

L. A. Zadeh, “Fuzzy sets,” Inf. Control, vol. 8, no. 3, pp. 338–353, 1965.

D. Molodtsov, “Soft set theory—first results,” Comput. Math. with Appl., vol. 37, no. 4–5, pp. 19–31, 1999.

P. K. Maji, R. K. Biswas, and A. Roy, “Fuzzy soft sets,” 2001.

S. Das and S. Samanta, “Soft metric,” Ann. Fuzzy Math. Informatics, vol. 6, no. 1, pp. 77–94, 2013.

T. Beaula and M. M. Priyanga, “A new notion for fuzzy soft normed linear space,” Int. J. Fuzzy Math. Arch, vol. 9, no. 1, pp. 81–90, 2015.

N. Faried, M. S. S. Ali, and H. H. Sakr, “Fuzzy soft inner product spaces,” Appl. Math. Inf. Sci, vol. 14, no. 4, pp. 709–720, 2020.

S. S. Mahmood and J. H. Eidi, “New Class of Rank 1 Update for Solving Unconstrained Optimization Problem,” vol. 63, no. 2, pp. 683–689, 2022, doi: 10.24996/ijs.2022.63.2.25.

S. Dawood and A. Q. Jabur, “On fuzzy soft normal operators,” in Journal of Physics: Conference Series, 2021, vol. 1879, no. 3, p. 32002.

A. Q. Jabur and S. Dawood, “On fuzzy soft projection operators,” Al-Qadisiyah J. Pure Sci., vol. 26, no. 1, pp. 112–123, 2021.

N. Faried, M. S. S. Ali, and H. H. Sakr, “Fuzzy soft hermitian operators,” Adv. Math. Sci. J, vol. 9, no. 1, pp. 73–82, 2020.

S. Das and S. K. Samanta, “On soft inner product spaces,” Ann. Fuzzy Math. Inf., vol. 6, no. 1, pp. 151–170, 2013.

T. Bealua and C. Gunaseeli, “On fuzzy soft metric spaces,” Malaya J. Math., vol. 2, pp. 197–202, 2014.

N. Faried, M. S. S. Ali, and H. H. Sakr, “Fuzzy soft Hilbert spaces,” Math. Stat., vol. 8, no. 3, 2020.

N. Faried, M. S. S. Ali, and H. H. Sakr, “On fuzzy soft linear operators in fuzzy soft Hilbert spaces,” in Abstract and Applied Analysis, 2020, vol. 2020.

Downloads

Published

2024-09-30

How to Cite

Abdulsada Assi, S. (2024). On ((Τ ) ̃^*-N)^η-Fuzzy Soft Quasi Normal Operators. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(3), Math. 91–98. https://doi.org/10.29304/jqcsm.2024.16.31670

Issue

Section

Math Articles