This relation could have been derived from data using similarity methods such as those discussed in Chapter 3. If the evaluation team applies a scoring factor of 0.4 for performance, 0.3 for cost, 0.2 for availability, and 0.1 for software, which together form the factor vector, w ∼ , then the composition, e ∼=w ∼◦R ∼ ={ 0.1,0.3,0.4,0.2}, results in an evaluation vector that has itshighest membership in the category “adequate.”
It is important to point out in concluding this section that the relations expressed in this section are not constrained in that their row sums should equal unity. The examples given show the row sums equaling unity, a matter of convenience for illustration. However, since the entries in the synthetic evaluation matrix relations are membership values showing the degree of relation between the factors and the evaluations, these values can take on any number between 0 and 1. Hence, row sums could be larger, or smaller, than unity.