×

Classification of the regular De Morgan algebras of fuzzy sets. (English) Zbl 0582.06013

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

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.
PDFBibTeX XMLCite
Full Text: EuDML