Some Characteristics of Completeness Property in Fuzzy Soft b−Metric Space

Salim Dawood  Mohsen; Younes Hazem  Thiyab

doi:10.6180/jase.202403_27(3).0009

Some Characteristics of Completeness Property in Fuzzy Soft b−Metric Space

Computer Science and Information Engineering

Salim Dawood MohsenThis email address is being protected from spambots. You need JavaScript enabled to view it., Younes Hazem Thiyab

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

Received: March 26, 2023
Accepted: July 9, 2023
Publication Date: August 26, 2023

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202403_27(3).0009

In this study, we developed a novel idea known as the fuzzy soft b-metric, and investigated some fundamental aspects of fuzzy soft b-metric. Moreover, various topological features of this new space, such as fuzzy soft open ball, and fuzzy soft Hausdorff b- metric space are defined, also, some fundamental theorems about the ideas are developed.

Keywords: FSS-sets; FSS− b-metric space; FSS− Hausdorff-BMS; FSS− limit point; FSS− Cauchy sequence

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