Contra θ Open Maps and Homeomorphisms in Fuzzy Hypersoft Topological Spaces

In this paper, the concepts of fuzzy hypersoft contra θ open and fuzzy hypersoft contra θ closed mappings in fuzzy hypersoft topological spaces are introduced and their related properties are studied. Also, the relation between fuzzy hypersoft contra θ open, fuzzy hypersoft contra θ semi open, fuzzy hypersoft contra θ pre open, fuzzy hypersoft contra θ closed, fuzzy hypersoft contra θ semi closed and fuzzy hypersoft contra θ pre closed maps are analyzed with the examples. Moreover, the work is devoloped to fuzzy hypersoft contra θ homeomorphism, fuzzy hypersoft contra θ C homeomorphism and some of their characteristics are discussed.