Copyright © 2013 Yonghong Shen and Wei Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.