Esteva, Francesc; Piera, Núria Classification of the regular De Morgan algebras of fuzzy sets. (English) Zbl 0582.06013 Stochastica 8, 249-266 (1984). The paper deals with lattices S of fuzzy sets, where \(2^ X\subset S\subset [0,1]^ X\) for a set \(X\neq \emptyset\). There are characterized its isomorphisms and antitone involutions (strong negations). This leads to a classification of different De Morgan algebras of fuzzy sets (equivalence classes determined by different negations). Reviewer: J.Drewniak Cited in 3 Documents MSC: 06D30 De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects) 06A15 Galois correspondences, closure operators (in relation to ordered sets) 03E72 Theory of fuzzy sets, etc. Keywords:isomorphisms; antitone involutions; strong negations; De Morgan algebras of fuzzy sets PDFBibTeX XMLCite \textit{F. Esteva} and \textit{N. Piera}, Stochastica 8, 249--266 (1984; Zbl 0582.06013) Full Text: EuDML