**Example 3**

For priorities *Y CRP X age Z body weight* we determine the contents of *B* as

1 3 1 1 3 5 1 3 315 1 *XYZ X B Y Z* 

The largest eigenvalue ( = 3.033) of *B* has the associated eigenvector *V* = (0.37, 0.92, 0.15). *V* is composed of coordinates that are interpreted as the importance weights *w*1, *w*2, *w*3 sought for *X*, *Y*, *Z*.

Let us rearrange the form of function *f* by adding the weights of importance to the vector code values. The new pattern of *f* is designed as *f*(*x y z*) = *w*1*x* + *w*2*y* + *w*3*z*. The function value yields the patient's characteristics given by a combination of codes stated for different symptoms.

#### **Example 4**

The patient vector *v* = (3, 1, 2) has the characteristics *f* (312) 0.37 3 0.92 1 0.15 2 2.33 .

Due to the physician's expertise we assume that we can operate patients who are characterized by codes of age equal to 1, 2 and 3, codes of *CRP* recognized as 0, 1 and 2 and codes of body weight determined as 1, 2 and 3. The minimal patient characteristics to be operated is thus *f* (101) 0.37 1 0.92 0 0.15 1 0.52 , whereas the maximal data characteristics, classifying the patient for the operation is given by *f* (323) 0.37 3 0.92 2 0.15 3 3.4 . We conclude that the patient who is capable to be operated should have the characteristics *f*(*x y z*) included in the interval [0.52, 3.4]. It is worth emphasizing that the decisions are made with respect to the decisive power of biological markers *age*, *CRP* and *body weight*.

#### **Example 5**

We test *v* = (4, 2, 4). As *f* (4 2 4) 0.37 4 0.92 2 0.15 4 3.92 , which lies beyond the boundaries of the "operate" interval, then the patient with data *v* = (4, 2, 4) should not be operated. For vectors *v*1 = (3, 2, 2), *v*2 = (2, 0, 2), *v*3 = (3, 1, 3), *v*4 = (3, 1, 2) the decision will be made as "operate".

The flow chart, sketched in Fig. 3, will show the selection of vectors typical of the decision "operate".

The vectors *v*1, *v*2, *v*3 and *v*4 will be included in the experimental population of representative data strings for the positive decision of the operation. We intend to use them in the next part of the chapter, when discussing the action of the NS algorithm adapted to the operation model.
