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The group of isometries of an indistinguishability operator
dc.contributor.author | Jacas Moral, Juan |
dc.contributor.author | Recasens Ferrés, Jorge |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura |
dc.date.accessioned | 2013-05-15T08:28:50Z |
dc.date.created | 2004-08 |
dc.date.issued | 2004-08 |
dc.identifier.citation | Jacas, J.; Recasens, J. The group of isometries of an indistinguishability operator. "Fuzzy sets and systems", Agost 2004, vol. 146, núm. 1, p. 27-41. |
dc.identifier.issn | 0165-0114 |
dc.identifier.uri | http://hdl.handle.net/2117/19228 |
dc.description.abstract | This paper studies some geometric aspects of indistinguishability operators (also called similarities and fuzzy equivalences). Concretely, it will be focused on the (geometric) group associated to a T-indistinguishability operator E on X (i.e., the group of all bijective maps View the MathML source such that E(x,y)=E(h(x),h(y))∀x,y∈X). The cases for E being one dimensional and invariant under translations on the real line will be completely studied. This last property will be generalized to any group and there will be stated a bijection between indistinguishability operators invariant under translations on a group and its normal fuzzy subgroups. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
dc.subject.lcsh | Fuzzy logic |
dc.title | The group of isometries of an indistinguishability operator |
dc.type | Article |
dc.subject.lemac | Lògica difusa |
dc.contributor.group | Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions |
dc.identifier.doi | 10.1016/j.fss.2003.11.004 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.sciencedirect.com/science/journal/01650114 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 655206 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Jacas, J.; Recasens, J. |
local.citation.publicationName | Fuzzy sets and systems |
local.citation.volume | 146 |
local.citation.number | 1 |
local.citation.startingPage | 27 |
local.citation.endingPage | 41 |
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