Revistes Catalanes amb Accés Obert (RACO)

Scalar cardinalities for divisors of a fuzzy cardinality

Jaime Casasnovas Casasnovas


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.

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