On fuzzy modular spaces (Q2375588)

Summary: The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by a \(\beta\)-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems on \(\mu\)-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.