Modeling of Fuzzy Soft Paranormal-Type Operator Associated with a Fuzzy Soft Hilbert Domain

Salim Dawood  Mohsen; Mohammed Jassim  Mohammed

doi:10.24996/ijs.2026.67.4.38

Authors

Salim Dawood Mohsen Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Mohammed Jassim Mohammed Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2026.67.4.38

Keywords:

Soft set, fuzzy soft, fuzzy soft Hilbert space, fuzzy soft paranormal operator, Fuzzy soft M-paranormal operator

Abstract

This article presents new findings in the realm of operator theory (OT) related to fuzzy soft set theory (FST). A new version of the fuzzy soft paranormal operator in a fuzzy soft Hilbert space, called fuzzy soft -paranormal operator, is formulated in a more comprehensive and general form. The most significant characteristic of the proposed operator is described as allied to other its leading traits. In addition, the requisite conditions to acquire various interesting merits of this novel operator are highlighted.