Applied Mathematics & Information Sciences

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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.

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