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dc.contributor.authorBoixader Ibáñez, Dionís
dc.contributor.authorRecasens Ferrés, Jorge
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
dc.date.accessioned2007-09-06T12:42:47Z
dc.date.available2007-09-06T12:42:47Z
dc.date.issued2005-10
dc.identifier.citationBoixader Ibáñez, D.; Recasens Ferrés, J. A map characterizing the fuzzy points and columns of a T-indistinguishability operator. "International journal of uncertainty fuzziness and knowledge-based systems", Octubre 2005, vol. 16, núm. 2, p. 129-145.
dc.identifier.urihttp://hdl.handle.net/2117/1178
dc.description.abstractA new map (ΛE) between fuzzy subsets of a universe X endowed with a T-indistinguishability operator E is introduced. The main feature of ΛE is that it has the columns of E as fixed points, and thus it provides us with a new criterion to decide whether a generator is a column. Two well known maps (φE and ψE) are also reviewed, in order to compare them with ΛE. Interesting properties of the fixed points of ΛE and Λ2 E are studied. Among others, the fixed points of ΛE (Fix(ΛE)) are proved to be the maximal fuzzy points of (X,E) and the fixed points of Λ2 E coincide with the Image of ΛE. An isometric embedding of X into Fix(ΛE) is established and studied.
dc.language.isoeng
dc.subject.lcshExpert systems (Computer sciences)
dc.subject.lcshFuzzy systems
dc.subject.lcshArtificial intelligence
dc.subject.lcshFuzzy logic
dc.subject.lcshFuzzy sets
dc.subject.otherFuzzy point
dc.subject.otherFuzzy relation
dc.subject.otherColumn of a fuzzy relation
dc.subject.otherT-norm
dc.subject.otherT-indistinguishability operator
dc.subject.otherGenerator
dc.titleA map characterizing the fuzzy points and columns of a T-indistinguishability operator
dc.typeArticle
dc.subject.lemacSistemes experts (Informàtica)
dc.subject.lemacSistemes difusos
dc.subject.lemacIntel·ligència artificial
dc.subject.lemacLògica difusa
dc.subject.lemacConjunts difusos
dc.contributor.groupUniversitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
dc.identifier.doi10.1142/S0218488508005108
dc.subject.amsClassificació AMS::03 Mathematical logic and foundations::03E Set theory
dc.subject.amsClassificació AMS::68 Computer science::68T Artificial intelligence
dc.relation.publisherversionhttp://www.worldscientific.com/doi/abs/10.1142/S0218488508005108
dc.rights.accessOpen Access
local.identifier.drac786772
local.citation.publicationNameInternational journal of uncertainty fuzziness and knowledge-based systems
local.citation.volume16
local.citation.number2
local.citation.startingPage129
local.citation.endingPage145


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