Computation of Probabilities of Preference - Probabilistic Composition of Preferences, Theory and Applications - page 35

fixing the kind of
quantile, the scale of the evaluations is standardized. For instance, in the case of the
nine deciles, forming with the alternative being evaluated a total of ten, it may be

An advantage of comparing to a sample of quantiles is that, by

Table 4.2 Sample of nine reference alternatives
Deciles Beauty Comfort Consumption Power Price Reliability Safety

1 0 0 0 0 0 0 0

2 0 0 0 0 0 1 0.5

3 0.5 0 0 0 0 1 1

4 1 1 0 0 0 1 1

5 1 1 0 1 0.5 1 1

6 1 1 1 1 1 1 1

7 1 1 1 1 1 1 1

8 1 1 1 1 1 1 1

9 1 1 1 1 1 1 1

Table 4.3 Probabilities of maximization in a sample of 4
Beauty Comfort Consumption Powerer Price Reliability Safety

Car1

0.3214 0.3214 0.4405 0.3214 0.4153 0.25 0.25

Car2

0.3214 0.3214 0.4405 0.0595 0.4153 0.25 0.0357

Car3

0.3214 0.3214 0.4405 0.0595 0.4153 0.0357 0.25

Car4

0.3214 0.3214 0.4405 0.0595 0.093 0.25 0.25

Car5

0.3214 0.3214 0.1119 0.3214 0.093 0.25 0.25

Car6

0.3214 0.3214 0.1119 0.3214 0.093 0.25 0.0357

Car7

0.3214 0.3214 0.1119 0.3214 0.093 0.0357 0.25

Car8

0.3214 0.3214 0.1119 0.0595 0.4153 0.25 0.25

Car9

0.3214 0.3214 0.1119 0.0595 0.4153 0.25 0.0357

Car10

0.3214 0.3214 0.1119 0.0595 0.093 0.25 0.25

Car11

0.3214 0.0595 0.4405 0.3214 0.093 0.25 0.25

Car12

0.3214 0.0595 0.4405 0.0595 0.4153 0.0357 0.25

Car13

0.3214 0.0595 0.1119 0.3214 0.4153 0.25 0.25

Car14

0.3214 0.0595 0.1119 0.3214 0.093 0.25 0.25

Car15

0.3214 0.0595 0.1119 0.0595 0.4153 0.25 0.25

Car16

0.0595 0.3214 0.4405 0.3214 0.4153 0.25 0.0357

Car17

0.0595 0.3214 0.4405 0.3214 0.093 0.25 0.25

Car18

0.0595 0.3214 0.4405 0.0595 0.4153 0.25 0.25

Car19

0.0595 0.3214 0.1119 0.3214 0.093 0.25 0.25

Car20

0.0595 0.0595 0.4405 0.3214 0.093 0.25 0.25