Journal of Applied Science and Engineering

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Application Investigation of Quasi Drazin Inverse Hyponormal Operators within the Framework of Fuzzy Soft Set Theory in Hilbert Space

 2026

 Volume 32

Salim Dawood Mohsen and Zaid Rajih Hamza

Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq

Received: March 3, 2026
Accepted: April 15, 2026
Publication Date: May 13, 2026

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This study aims to investigate the realm of operator theory related to Fuzzy Soft Theory. Based on fuzzy soft Hilbert spaces, a novel formula of fuzzy soft quasi-hyponormal operator via a technique of fuzzy soft Drazin inverse named the fuzzy soft n-quasi Drazin inverse hyponormal operator (FSn-QDI-hyponormal) operator. Moreover, some analytical traits are revealed for this imposed operator. In addition, the Fuzzy Soft spectrum and fuzzy soft approximate point spectrum of this class have been discussed, as well as the restriction study of class and the direct sum and tensor product are discussed.

Keywords: Hilbert space; Soft set; Fuzzy soft set; Fuzzy soft Hilbert space; Fuzzy soft Drazin invertible; Fuzzy Soft

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