Burusco, A.; Fuentes-González, R. Conceptual knowledge from \(L\)-fuzzy contexts. (English) Zbl 0876.68105 J. Fuzzy Math. 4, No. 4, 889-903 (1996). Summary: Taking as departure point the concept theory of R. Wille [Ordered sets, Proc. NATO Adv. Study Inst., Banff/Can. 1981, 445-470 (1982; Zbl 0491.06008)] and the fuzzy sets theory, in this paper, we develop a new model called \(L\)-fuzzy concept theory using \(L\)-fuzzy relations between objects and attributes.We begin this paper with the definitions of some new operators that serve to make the \(L\)-fuzzy concepts. We obtain the concepts using a constructive version of the fixed points theorem of Tarski. We introduce an order relation that expresses the hierarchy between \(L\)-fuzzy concepts, and we prove below the lattice structure of the \(L\)-fuzzy concept set. Also, we recover the Wille’s theory as a particular case when \(L=\{0,1\}\) and we give the iso-structured \(L\)-fuzzy context definition that is used to analyze certain \(L\)-fuzzy contexts from others. In particular, we will be able to study \(L\)-fuzzy contexts from Wille’s context. Finally, we provide an example to illustrate this theory. MSC: 68T30 Knowledge representation 06B23 Complete lattices, completions Keywords:\(L\)-fuzzy concepts Citations:Zbl 0491.06008 PDFBibTeX XMLCite \textit{A. Burusco} and \textit{R. Fuentes-González}, J. Fuzzy Math. 4, No. 4, 889--903 (1996; Zbl 0876.68105)