Journal of Applied Mathematics
Volume 2013 (2013), Article ID 576237, 8 pages
http://dx.doi.org/10.1155/2013/576237
Research Article

On Fuzzy Modular Spaces

Yonghong Shen1,2 and Wei Chen3

1School of Mathematics, Beijing Institute of Technology, Beijing 100081, China
2School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
3School of Information, Capital University of Economics and Business, Beijing 100070, China

Received 12 November 2012; Revised 30 January 2013; Accepted 18 February 2013

Academic Editor: Luis Javier Herrera

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.

Abstract

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.