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In this paper , we combine fuzzy topological structures with algebraic structures on X , and investigate their corresponding structures and properties.In the section 3,the relationship between fuzzy topological structure and increasing(decreasing) fuzzy syntopogenous structure is studied . In the section 4 the definition of continuity of a preordered L-fuzzy syntopogenous space ) , , ( ≤ S X and an example is given. In the section 5 the equivalent depictions of continuity are researched.In the section 6 the boundedness and its properties are discussed.

On Continuity and Boundedness of Fuzzy Syntopogenous Spaces