The cardinality of a finite fuzzy set can be defined as a scalar or a fuzzy quantity. The fuzzy cardinalities are represented by means the generalized natural numbers, where it is possible to define arithmetical operations, in particular the division by a natural number. The main result obtained in this paper is that, if determined conditions are assured, the scalar cardinality of a finite fuzzy set, B, whose fuzzy cardinality is a rational part of the fuzzy cardinality of another fuzzy set, A, is obtained by the same division of the scalar cardinality of A.
@article{urn:eudml:doc:39233,
title = {Scalar cardinalities for divisors of a fuzzy cardinality.},
journal = {Mathware and Soft Computing},
volume = {9},
year = {2002},
pages = {43-57},
zbl = {1022.03036},
mrnumber = {MR1956874},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39233}
}
Casasnovas Casasnovas, Juan. Scalar cardinalities for divisors of a fuzzy cardinality.. Mathware and Soft Computing, Tome 9 (2002) pp. 43-57. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39233/