On Fuzzy Modular Spaces

[摘要] The concept of fuzzy modular space is first proposed in this paper. Afterwards,a Hausdorff topology induced by aβ-homogeneous fuzzy modular is defined and some related topological properties are also examined. Andthen, several theorems onμ-completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theoremare extended to fuzzy modular spaces.

[学科分类] 应用数学