On the Analysis of Extended Partial Metric Space Combined withFuzzy Soft Structure

Salim Dawood  Mohsen; Hawraa Godarz  Ramk

doi:10.24996/ijs.2026.67.6.31

Authors

Salim Dawood Mohsen Department of Mathematics, College of Education, Mustansiriyah University, Baghdad ,Iraq
Hawraa Godarz Ramk Department of Mathematics, College of Education, Mustansiriyah University, Baghdad ,Iraq

DOI:

https://doi.org/10.24996/ijs.2026.67.6.31

Keywords:

Ϝ_ss-sets, Ϝ_ss-b-partial Metric spaces, Ϝ_ss-Hausdorff- b-PMS, Ϝ_ss-Cauchy

Abstract

This note introduces a new extended concept into a fuzzy soft area that plays a prominent role in functional analysis, called the fuzzy soft b-partial metric space, which is an extension of the fuzzy soft metric space and the fuzzy soft partial metric space. The research discusses numerous analytical features based on this proposed space, including the -closed, -open ball, -Hausdorff space, and -converge sequence. Moreover, several essential theorems of convergence of this space are investigated. Furthermore, close connections between this newly defined space and b-metric spaces are also examined. In this regard, several instances are illustrated.