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On Fuzzy Modular Spaces

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  • Yonghong Shen
  • Wei Chen

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.

Suggested Citation

  • Yonghong Shen & Wei Chen, 2013. "On Fuzzy Modular Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, March.
    • Handle: RePEc:hin:jnljam:576237
    DOI: 10.1155/2013/576237
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    Cited by:

    1. Hark-Mahn Kim & Hwan-Yong Shin, 2020. "Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ∗-Algebras," Mathematics, MDPI, vol. 8(9), pages 1-13, September.

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