On Categorical Property of Fuzzy Soft Topological Spaces

Authors

S. Saleh, Computer Science Department, Cihan University-Erbil, Kurdistan region, Iraq\\ Mathematics Department, Hodeidah University, Hodeidah, YemenFollow
Radwan Abu-Gdairi, Department of Mathematics, Faculty of Science, Zarqa University, P.O. Box 13110 Zarqa, JordanFollow
Tareq M. Al-shami, Department of Mathematics, Sana’a University, Sana’a, YemenFollow
Mohammed S. Abdo, Mathematics Department, Hodeidah University, Hodeidah, YemenFollow

Author Country (or Countries)

Yemen

Abstract

The main aim of this work is to provide a categorical framework for fuzzy soft topological spaces FST. We define some of their subcategories such as Top, STop, δτ-FST, χ􏰀-FST, and α􏰀-FST. In general, we initiate some functors between them and discuss some results and relations of fuzzy soft maps. The relationships between FST and their subcategories are studied, for instance, we show that Top, STop are bireflective full subcategories of FST and α􏰀-FSTis a bicoreflective full subcategory of FST. Moreover, we demonstrate that Top, δτ -FST, and χ􏰀-FST are isomorphic.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160417

Recommended Citation

Saleh, S.; Abu-Gdairi, Radwan; M. Al-shami, Tareq; and S. Abdo, Mohammed (2022) "On Categorical Property of Fuzzy Soft Topological Spaces," Applied Mathematics & Information Sciences: Vol. 16: Iss. 4, Article 17.
DOI: http://dx.doi.org/10.18576/amis/160417
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/17