A Hyponormality Operator Formulated by Draizn Inverse Operators Combining the Fuzzy Soft

Salim Dawood  Mohsen; Zaid Rajih  Hamza

doi:10.24996/ijs.2026.67.10.22

Authors

Salim Dawood Mohsen Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Zaid Rajih Hamza Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2026.67.10.22

Keywords:

Hilbert space, Soft set, Fuzzy soft set, Fuzzy soft Hilbert space, Fuzzy soft Drazin invertible, Hyponormal operator

Abstract

This study aims to investigate the realm of operator theory (OT) related to Fuzzy Soft Theory (FST). Based on a fuzzy soft Hilbert space, a novel formula of the fuzzy soft hyponormal operator, namely the fuzzy soft power Drazin inverse hyponormal operator. Moreover, some analytical traits are revealed for this imposed operator. In addition, the direct sum and tensor product are discussed.