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dc.contributor.authorMattioli Aramburu, Gabriel
dc.contributor.authorRecasens Ferrés, Jorge
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
dc.identifier.citationMattioli, G.; Recasens, J. Structural analysis of indistinguishability operators and related concepts. "Information sciences", 20 Juny 2013, vol. 241, p. 85-100.
dc.description.abstractGiven an indistinguishability operator E, it is possible to obtain the set of extensional fuzzy subsets HEHE and the respective operators of upper and lower approximations by extensional sets ¿E¿E and ¿E¿E. Reciprocally, given any of these objects, the initial indistinguishability operator E can be retrieved. It is well known that these concepts are in bijection. In this paper, we will prove that the relation underlying them is a lattice isomorphism. We will also consider further operators such as natural means and finally show the robustness of the results with respect to isomorphisms of t-norms.
dc.format.extent16 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
dc.subject.lcshFuzzy logic
dc.subject.otherSet theory
dc.subject.otherArtificial intelligence
dc.subject.otherSoftware engineering
dc.titleStructural analysis of indistinguishability operators and related concepts
dc.subject.lemacLògica difusa
dc.contributor.groupUniversitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
upcommons.citation.authorMattioli, G.; Recasens, J.
upcommons.citation.publicationNameInformation sciences

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