On Fuzzy Modular Spaces | Zendy

Yonghong Shen | Zendy; Wei Chen | Zendy

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On Fuzzy Modular Spaces

Author(s) -

Yonghong Shen,

Wei Chen

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/576237

Subject(s) - modular design , hausdorff space , mathematics , homogeneous , fuzzy logic , space (punctuation) , discrete mathematics , computer science , algorithm , topology (electrical circuits) , artificial intelligence , combinatorics , operating system

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

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