Abstract
The present study is devoted to describe the concepts of continuous mapping, open mapping and closed mapping by using soft points on intuitionistic fuzzy topological spaces. Along, continuous mapping, open mapping and closed mapping on intuitionistic fuzzy topological spaces and their characterizations are also introduced. At the end, some of the crucial properties of the proposed concepts are investigated. Taking advantage of intuitionistic fuzzy topology, we obtain the family of soft topologies and normal topologies. It is clear that the category of intuitionistic fuzzy topological spaces is an extension both the category of soft topological spaces and the category of topological spaces.
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