Structural novel properties of generalized quasi-fuzzy soft paranormal operators in Hilbert spaces domain

Mohsen, Salim Dawood; Mohammed, Mohammed Jassim

doi:10.47974/JIM-2527

Open Access Research Article

Structural novel properties of generalized quasi-fuzzy soft paranormal operators in Hilbert spaces domain

^*Salim Dawood MohsenCorresponding authordr_salim2015@yahoo.comDepartment of MathematicsCollege of EducationMustansiriyah UniversityBaghdad, 10052, Iraqhttps://orcid.org/0000-0002-4435-4658View full profile → , Mohammed Jassim Mohammedmohammed.jassim@uomustansiriyah.edu.iqDepartment of MathematicsCollege of EducationMustansiriyah UniversityBaghdad, 10052, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1417–1423Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2527XML

Received:: 01 Nov 2025
Published Online:: 27 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2527
Pages:: 1417–1423

Abstract

This article introduces a new and extended concept of quasi-fuzzy soft paranormal operators of great importance in pure mathematics, called (𝕜 – Ω) – quasi-fuzzy soft paranormal operators) in brief “(𝕜 – Ω) – QFSPO”, which is a generalization of the quasi-fuzzy soft paranormal operators. It also mentions some of its properties and proves the relevant theorems. To make this more robust, it is compared with other types, and the results are recorded. We seek to expand the theoretical framework in ways that differ from traditional methods, while providing a basic foundation for similar future work.

Keywords

FS-HS FS-quasi paranormal operators FS-paranormal operator (k – m) – QFSPO

Subject Classifications

Primary 46S4047A0547B02Secondary 47B15

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