These data are often derived from the ratio scale
by a scale reduction and are represented on the interval scale.
If an attribute was either in the interval or the ratio scale
, it was scored based on Equation (1) only when the score of attribute similarity was more than that of MCAS.
Thomas Saaty, the developer of the AHP, recommends a one-to-nine ratio scale
when deciding between the two alternatives.
By adding a ratio scale
of 1 to 9 for rating the relative importance of one criterion over another, a decision maker could make statements such as "leadership is four times as important as human relations skills for this job," "financial management ability is three times as important as leadership," and "financial management ability is seven times as important as human relations skills.
To put these feelings on a cardinal ratio scale
, Mayerfeld opts for What he calls "the intuitive measure," suggesting that "[t]hese estimates [of intensity] are directly produced by intuition, hence their name" (p.
In general, that index is an affine transformation which does not yield a ratio scale