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Using L-fuzzy sets to introduce information theory into qualitative reasoning

Autor
Prats, F.; Rosello, L.; Sanchez, M.; Agell, N.
Tipus d'activitat
Article en revista
Revista
Fuzzy sets and systems
Data de publicació
2014-02-01
Volum
236
Pàgina inicial
73
Pàgina final
90
DOI
https://doi.org/10.1016/j.fss.2013.06.013 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0165011413002765?via%3Dihub Obrir en finestra nova
Resum
We formally construct the extended set of qualitative labels Lover a well-ordered set.The qualitative descriptions of a given set are defined as L-fuzzy sets. In the case where the well-ordered set is finite, a distance between L-fuzzy sets is introduced based on the properties of the lattice L. The concept of the information contained in a qualitative label is introduced, leading to a formal definition of the entropy of an L-fuzzy set as a Lebesgue integral. In the discrete case, this integral...
Paraules clau
Information sciences, L-fuzzysets, Measures of information, Qualitative reasoning
Grup de recerca
GREC - Grup de Recerca en Enginyeria del Coneixement
IDEAI-UPC Intelligent Data Science and Artificial Intelligence

Participants