The notion of roughness of a fuzzy set

Journal Article 2014

Authors: Inés Couso, Laura Garrido, Luciano Sánchez

Fuzzy Sets and SystemsVolume 249Pages 114-127

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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

Abstract

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.

Keywords

Dissimilarity measure
Divergence measure
fuzzy set
Rough set
Roughness

Details

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