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On fuzzy modular spaces. (English) Zbl 1266.46058
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.
##### MSC:
 46S40 Fuzzy functional analysis
Full Text:
##### References:
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