Construction of the \(L\)-fuzzy concept lattice. (English) Zbl 0927.06006

Summary: We propose two processes to obtain \(L\)-fuzzy concepts based on finite \(L\)-fuzzy contexts and the theory of P. Cousot and R. Cousot [Pac. J. Math. 82, 43-57 (1979; Zbl 0413.06004)]. The first algorithm calculates the \(L\)-fuzzy concepts derived from an \(L\)-fuzzy set and the second one constructs the whole \(L\)-fuzzy concept lattice. We also represent the \(L\)-fuzzy concept lattice graphically.


06B99 Lattices
68T30 Knowledge representation
68T05 Learning and adaptive systems in artificial intelligence
03E72 Theory of fuzzy sets, etc.
06B23 Complete lattices, completions
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