On Continuity and Boundedness of Fuzzy Syntopogenous Spaces

Abstract

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 spaceand 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．