The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by a -homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems on -completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to fuzzy modular spaces.
Yonghong Shen. Wei Chen. "On Fuzzy Modular Spaces." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/576237