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Lattices of fuzzy objects. (English) Zbl 0865.06003
The essence of fuzzification was examined by many authors [cf., e.g., J. A. Goguen, Bull. Am. Math. Soc. 75, 622-624 (1969; Zbl 0177.02401); M. A. Erceg, Fuzzy Sets Syst. 3, 75-82 (1980; Zbl 0421.03044); L. Biacino and G. Gerla, Inf. Sci. 33, 181-195 (1984; Zbl 0562.06004); 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.

MSC:
06B23 Complete lattices, completions
03E72 Theory of fuzzy sets, etc.
54A40 Fuzzy topology
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