In this short note we show that for fuzzy sets of type II the additive rule for cardinalities holds true. The proof of this result requires an application of approximate reasoning as means of inference by use of the entailment principle.
@article{urn:eudml:doc:38887, title = {On the additivity of the cardinalities of fuzzy sets of type II.}, journal = {Stochastica}, volume = {7}, year = {1983}, pages = {243-248}, zbl = {0559.04007}, mrnumber = {MR0773828}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38887} }
Yager, Ronald R. On the additivity of the cardinalities of fuzzy sets of type II.. Stochastica, Tome 7 (1983) pp. 243-248. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38887/