@article{547, keywords = {Dissimilarity measure, Divergence measure, fuzzy set, Rough set, Roughness}, author = {Inés Couso and Laura Garrido and Luciano Sánchez}, title = {The notion of roughness of a fuzzy set}, 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.}, year = {2014}, journal = {Fuzzy Sets and Systems}, volume = {249}, pages = {114-127}, issn = {0165-0114}, url = {http://www.sciencedirect.com/science/article/pii/S0165011414000657}, doi = {10.1016/j.fss.2014.02.013}, note = {Theme: Automata Theory and Algebra}, }