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Lattices of fuzzy objects. (English) Zbl 0865.06003
The essence of fuzzification was examined by many authors [cf., e.g., {\it J. A. Goguen}, Bull. Am. Math. Soc. 75, 622-624 (1969; Zbl 0177.02401); {\it M. A. Erceg}, Fuzzy Sets Syst. 3, 75-82 (1980; Zbl 0421.03044); {\it L. Biacino} and {\it G. Gerla}, Inf. Sci. 33, 181-195 (1984; Zbl 0562.06004); {\it L. Filep}, J. Fuzzy Math. 2, 871-892 (1994; Zbl 0822.20066)]. The paper introduces a new concept of fuzzification as a relation between complete lattices. The introduced model generalizes constructions known in fuzzy algebra and in fuzzy topology.

06B23Complete lattices, completions
03E72Fuzzy set theory
54A40Fuzzy topology
Full Text: DOI EuDML