**6.2 Rate**

For a finite set S and a subset S\* of S, the rate of the total number of S\* among the total numbers of S obtained in the same way as that to calculate the total number of S\* is called a rate of S\* among S. In particular, the rate of the cardinality of S\* among that of S is called the cardinality rate of S\* among S. Moreover, the rate of the total attribute number of S\* with respect to *A1,..., An* and *f* among that of S with respect to the same attributes and the same attribute quantifier function is called the total attribute number rate.

The quantifying concept ⫷cardinality rate⫸ is regarded as a function that has the following data as input data:


In contrast, the quantifying concept ⫷total attribute number rate⫸ is regarded as a function that has the following data as input data:


⫷total attribute number rate⫸ outputs the rate of the total attribute number of [[�]] with respect to *A1,..., An* and f among that of [[�\*]] with respect to the same attributes and the same attribute quantifier function.
