Kybernetika 28 no. 7, 12-16, 1992

From an alternative model of rough sets to fuzzy sets

Ivan Kramosil


Instead of the classical definition of rough sets based on an indiscernibility relation, an alternative approach is suggested, based on a relation which quantifies the effort and other demands necessary to decide the membership predicate for a given element and a given set. The points for which this effort exceeds a threshold value are taken as undecidable. A simply defined inverse mapping of this quantifying relation may be taken as a membership degree function which defines fuzzy sets in the universe of discourse.


04A72, 03E72