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Normalizing possibility distributions using t-norms
dc.contributor.author | Recasens Ferrés, Jorge |
dc.contributor.author | Lawry, J |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura |
dc.date.accessioned | 2013-04-26T12:29:49Z |
dc.date.created | 2003-06 |
dc.date.issued | 2003-06 |
dc.identifier.citation | Recasens, J.; Lawry, J. Normalizing possibility distributions using t-norms. "International journal of uncertainty fuzziness and knowledge-based systems", Juny 2003, vol. 11, núm. 3, p. 343-360. |
dc.identifier.issn | 0218-4885 |
dc.identifier.uri | http://hdl.handle.net/2117/19011 |
dc.description.abstract | A new approach to normalizing fuzzy sets is introduced where it is assumed that the normalization method is compatible with a given t-norm. In this context it is proved that the most usual ways to normalize fuzzy subsets correspond to the most common t-norms. For a given fuzzy subset μ, the corresponding normalized fuzzy subset can be viewed as the distribution of μ conditioned on the (degree of) existence of its elements with maximal membership. From this view point we investigate the less specific normal fuzzy subset of X among the most similar fuzzy subsets to μ and the normal fuzzy subset generating the same fuzzy T-preorder as μ. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
dc.subject.lcsh | Fuzzy logic |
dc.title | Normalizing possibility distributions using t-norms |
dc.type | Article |
dc.subject.lemac | Lògica difusa |
dc.contributor.group | Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions |
dc.identifier.doi | 10.1142/S0218488503002119 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.worldscientific.com/doi/pdf/10.1142/S0218488503002119 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 786746 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Recasens, J.; Lawry, J. |
local.citation.publicationName | International journal of uncertainty fuzziness and knowledge-based systems |
local.citation.volume | 11 |
local.citation.number | 3 |
local.citation.startingPage | 343 |
local.citation.endingPage | 360 |
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