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Concept lattices associated with L-Fuzzy W-contexts
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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1996, Vol. III, Núm. 3 [13]
ESTYLF'95