an:06175876
Zbl 1266.46058
Shen, Yonghong; Chen, Wei
On fuzzy modular spaces
EN
J. Appl. Math. 2013, Article ID 576237, 8 p. (2013).
00318830
2013
j
46S40
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.