dc.contributor.author Burusco Juandeaburre, Ana dc.contributor.author Fuentes-González, Ramón dc.date.accessioned 2007-09-12T11:47:02Z dc.date.available 2007-09-12T11:47:02Z dc.date.issued 1996 dc.identifier.issn 1134-5632 dc.identifier.uri http://hdl.handle.net/2099/3471 dc.description.abstract \begin{abstract} \noindent We generalize in this paper the $L$-Fuzzy concept theory we developed in a previous paper ([1]), using the composition of $L$-Fuzzy relations. This theory models knowledge acquisition and classification and takes as departure point Wille's idea ([5]). We begin the work defining $L$-Fuzzy W-contexts as the tuples (L,W,X,Y, $\underset{\textstyle \backsim}{R}$) where W, X and Y are the sets of labels, objects and attributes respectively, and $\underset{\textstyle \backsim}{R}\in L^{X\times Y}$ is an $L$-Fuzzy relation. From these contexts, we will give the operators needed to define the \linebreak $L$-Fuzzy W-concepts. These concepts will be pairs of relations ($\underset{\textstyle \backsim}{P}, \underset{\textstyle \backsim}{Q}$) where $\underset{\textstyle \backsim}{P}\in L^{W\times X}$, $\underset{\textstyle \backsim}Q\in L^{W\times Y}$ satisfying $\underset{\textstyle \backsim}{P_{1}}= \underset{\textstyle \backsim}Q$ and $\underset{\textstyle \backsim}Q_{2}= \underset{\textstyle \backsim}P$ with the operator 1 and 2 definitions given. After proving the lattice structure of the $L$-Fuzzy W-concepts set, we analyse a practical example where we interpret the new concept definition \bigskip \noindent {\bf Key words:} $L$-Fuzzy concepts, $L$-Fuzzy W-concepts, $L$-Fuzzy W-contexts, Conceptual knowledge. \end{abstract} dc.format.extent 321-327 dc.language.iso eng dc.publisher Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica dc.relation.ispartof Mathware & soft computing . 1996 Vol. 3 Núm. 3 dc.rights Reconeixement-NoComercial-CompartirIgual 3.0 Espanya dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/ dc.subject.other Lattices dc.subject.other Fuzzy set theory dc.title Concept lattices associated with L-Fuzzy W-contexts dc.type Article dc.subject.lemac Lògica difusa dc.subject.lemac Conjunts, Teoria de dc.subject.ams Classificació AMS::03 Mathematical logic and foundations::03E Set theory dc.rights.access Open Access
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