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On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces. (English) Zbl 0697.54005
Summary: The aim of this paper is to extend the spectral approach for the study of uniform properties of fuzzy sets in (Hutton’s) fuzzy uniform spaces. The notions of completeness spectrum and precompactness spectrum are introduced and studied. In particular, the relations between these spectra and the compactness spectrum of a fuzzy set in a fuzzy topological space introduced earlier by the first author are discussed.

MSC:
54A40 Fuzzy topology
54E15 Uniform structures and generalizations
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