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Generation and Characterization of Fuzzy T-preorders
dc.contributor.author | Boixader Ibáñez, Dionís |
dc.contributor.author | Recasens Ferrés, Jorge |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura |
dc.date.accessioned | 2015-07-07T10:18:46Z |
dc.date.available | 2015-07-07T10:18:46Z |
dc.date.created | 2015-05-28 |
dc.date.issued | 2015-05-28 |
dc.identifier.citation | Boixader, D.; Recasens, J. Generation and Characterization of Fuzzy T-preorders. "Applied artificial intelligence", 28 Maig 2015, vol. 29, núm. 5, p. 514-530. |
dc.identifier.issn | 0883-9514 |
dc.identifier.uri | http://hdl.handle.net/2117/28527 |
dc.description.abstract | This article studies T-preorders that can be generated in a natural way by a single fuzzy subset. These T-preorders are called one-dimensional and are of great importance, because every T-preorder can be generated by combining one-dimensional T-preorders.; In this article, the relation between fuzzy subsets generating the same T-preorder is given, and one-dimensional T-preorders are characterized in two different ways: They generate linear crisp orderings on X and they satisfy a Sincov-like functional equation. This last characterization is used to approximate a given T-preorder by a one-dimensional one by relating the issue to Saaty matrices used in the Analytical Hierarchical Process. Finally, strong complete T-preorders, important in decision-making problems, are also characterized. |
dc.format.extent | 17 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica |
dc.subject.lcsh | Fuzzy logic |
dc.title | Generation and Characterization of Fuzzy T-preorders |
dc.type | Article |
dc.subject.lemac | Lògica difusa |
dc.identifier.doi | 10.1080/08839514.2015.1026663 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.tandfonline.com/doi/abs/10.1080/08839514.2015.1026663#.VZum_RvtlBc |
dc.rights.access | Open Access |
local.identifier.drac | 15830465 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Boixader, D.; Recasens, J. |
local.citation.publicationName | Applied artificial intelligence |
local.citation.volume | 29 |
local.citation.number | 5 |
local.citation.startingPage | 514 |
local.citation.endingPage | 530 |
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