On fuzzy-qualitative descriptions and entropy

Francesc Prats, Llorenç Roselló, Mónica Sánchez, N. Agell*

*Autor corresponent d’aquest treball

Producció científica: Article en revista indexadaArticleAvaluat per experts

1 Citació (Scopus)

Resum

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.

Idioma originalAnglès
Pàgines (de-a)93-107
Nombre de pàgines15
RevistaInternational Journal of Approximate Reasoning
Volum75
DOIs
Estat de la publicacióPublicada - 1 d’ag. 2016
Publicat externament

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