dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. GREC - Grup de Recerca en Enginyeria del Coneixement
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.date.issued
2016-08-01
dc.identifier
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
https://hdl.handle.net/2117/99417
dc.identifier
10.1016/j.ijar.2016.02.006
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.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.relation
http://www.sciencedirect.com/science/article/pii/S0888613X16300160
dc.relation
info:eu-repo/grantAgreement/MICINN//TIN2010-20966-C02-02/ES/APRENDIZAJE AUTOMATICO DE CAPACIDADES SENSORIALES MEDIANTE MAQUINAS DE SOPORTE VECTORIAL/
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Aspectes socials
dc.subject
Fuzzy partitions
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Measures of information
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Information sciences
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Qualitative reasoning
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Linguistic term sets
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Decision-making
dc.subject
Codificació, Teoria de la
dc.subject
Classificació AMS::94 Information And Communication, Circuits::94D05 Fuzzy sets and logic
dc.title
On fuzzy-qualitative descriptions and entropy
