On linearly topological structure and property of fuzzy normed linear space. (English) Zbl 1018.46039
Summary: A simplified definition of fuzzy normed linear space is introduced, the different structure of fuzzy normed linear space with variable right norm \(R\) is discussed in terms of topological vector spaces, and its properties such as compactness, completeness and density are studied under more general left norms \(L\) and right norms \(R\); as an application, the linearly topological structure of Menger PN space is obtained.
Keywords:
fuzzy normed linear spacesReferences:
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