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The aim of this study is to define fuzzy soft topology which will becompatible to the fuzzy soft theory and investigate some of its fundamental properties. Firstly, we recall some basic properties of fuzzy softsets and then we give the definitions of cartesian product of two fuzzysoft sets and projection mappings. Secondly, we introduce fuzzy softtopology and fuzzy soft continuous mapping. Moreover, we induce afuzzy soft topology after given the definition of a fuzzy soft base. Also,we obtain an initial fuzzy soft topology and give the definition of product fuzzy soft topology. Finally, we prove that the category of fuzzysoft topological spaces FSTOP is a topological category over SET.
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Aygünoğlu et al. (2015) studied this question.
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