The notion of roughness of a fuzzy set

Artículo de revista 2014

Autores: Inés Couso, Laura Garrido, Luciano Sánchez

Fuzzy Sets and SystemsVolumen 249Páginas 114-127

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Cómo citar esta publicación

Couso, I., Garrido, L., & Sánchez, L. (2014). The notion of roughness of a fuzzy set. Fuzzy Sets and Systems, 249, 114-127. https://doi.org/10.1016/j.fss.2014.02.013

BibTeX

Resumen

The roughness of a set (according to the notion introduced by Pawlak in 1991) can be regarded as the MZ-distance between its upper and the lower approximations. With this idea in mind, we have generalized Pawlak s definition, by replacing the MZ-distance by a general distance measure. We also generalize the notion of roughness of fuzzy sets introduced by Huyhn and Nakamori in 2005.

Palabras clave

Dissimilarity measure
Divergence measure
fuzzy set
Rough set
Roughness

Detalles

DOI: 10.1016/j.fss.2014.02.013
ISSN: 0165-0114
Notas: Theme: Automata Theory and Algebra