On fuzzy-qualitative descriptions and entropy
Rights accessOpen Access
ProjectAPRENDIZAJE AUTOMATICO DE CAPACIDADES SENSORIALES MEDIANTE MAQUINAS DE SOPORTE VECTORIAL (MICINN-TIN2010-20966-C02-02)
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.
CitationPrats, 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.