The notion of roughness of a fuzzy set

TitleThe notion of roughness of a fuzzy set
Publication TypeJournal Article
Year of Publication2014
AuthorsCouso, Inés, Garrido Laura, and Sánchez Luciano
JournalFuzzy Sets and Systems
Volume249
Pagination114 - 127
ISSN0165-0114
KeywordsDissimilarity measure, Divergence measure, fuzzy set, Rough set, Roughness
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.

Notes

Theme: Automata Theory and Algebra

URLhttp://www.sciencedirect.com/science/article/pii/S0165011414000657
DOI10.1016/j.fss.2014.02.013