On Fuzzy Modular Spaces

Yonghong Shen and Wei Chen

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by a β‐homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems on μ‐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.

Date: 2013
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https://doi.org/10.1155/2013/576237

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:576237

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