dc.contributor.author | Prats Duaygues, Francesc |
dc.contributor.author | Roselló Saurí, Llorenç |
dc.contributor.author | Sánchez Soler, Monica |
dc.contributor.author | Agell Jané, Núria |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2017-01-17T10:27:49Z |
dc.date.available | 2018-08-01T00:30:29Z |
dc.date.issued | 2016-08-01 |
dc.identifier.citation | Prats, F., Rosello, L., Sanchez, M., Agell, N. On fuzzy-qualitative descriptions and entropy. "International journal of approximate reasoning", 1 Agost 2016, vol. 75, p. 93-107. |
dc.identifier.issn | 0888-613X |
dc.identifier.uri | http://hdl.handle.net/2117/99417 |
dc.description.abstract | This paper models the assessments of a group of experts when evaluating different magnitudes, features or objects by using linguistic descriptions. A new general representation of linguistic descriptions is provided by unifying ordinal and fuzzy perspectives. Fuzzy qualitative labels are proposed as a generalization of the concept of qualitative labels over a well-ordered set. A lattice structure is established in the set of fuzzy-qualitative labels to enable the introduction of fuzzy-qualitative descriptions as L-fuzzy sets. A theorem is given that characterizes finite fuzzy partitions using fuzzy-qualitative labels, the cores and supports of which are qualitative labels. This theorem leads to a mathematical justification for commonly-used fuzzy partitions of real intervals via trapezoidal fuzzy sets. The information of a fuzzy-qualitative label is defined using a measure of specificity, in order to introduce the entropy of fuzzy-qualitative descriptions. (C) 2016 Elsevier Inc. All rights reserved. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Aspectes socials |
dc.subject.lcsh | Coding theory |
dc.subject.other | L-fuzzy sets |
dc.subject.other | Fuzzy partitions |
dc.subject.other | Measures of information |
dc.subject.other | Information sciences |
dc.subject.other | Qualitative reasoning |
dc.subject.other | Linguistic term sets |
dc.subject.other | Decision-making |
dc.subject.other | Extensions |
dc.subject.other | Consensus |
dc.subject.other | Model |
dc.title | On fuzzy-qualitative descriptions and entropy |
dc.type | Article |
dc.subject.lemac | Codificació, Teoria de la |
dc.contributor.group | Universitat Politècnica de Catalunya. GREC - Grup de Recerca en Enginyeria del Coneixement |
dc.identifier.doi | 10.1016/j.ijar.2016.02.006 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::94 Information And Communication, Circuits::94D05 Fuzzy sets and logic |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0888613X16300160 |
dc.rights.access | Open Access |
local.identifier.drac | 17689161 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MICINN//TIN2010-20966-C02-02/ES/APRENDIZAJE AUTOMATICO DE CAPACIDADES SENSORIALES MEDIANTE MAQUINAS DE SOPORTE VECTORIAL/ |
local.citation.author | Prats, F.; Rosello, L.; Sanchez, M.; Agell, N. |
local.citation.publicationName | International journal of approximate reasoning |
local.citation.volume | 75 |
local.citation.startingPage | 93 |
local.citation.endingPage | 107 |