A Note on an Example of Use of Fuzzy Preference Structures

In this paper we present a problem of multicriterial optimization and different models to solve it. We illustrate various alternatives on a practical example. 1. Motivation Example In this paper we illustrate several aspects of a multicriterial problem that we try to approach from different perspectives – deductive, inductive, and different formal models – Choquet integrals, fuzzy preference structures. Example 1. (Michel Grabisch, Marc Roubens [3]) In [3] the authors consider the problem of the evaluation of trainees learning to drive military vehicles. The instructors evalueted the trainees according to 4 criteria: C1. Firing precision: The percentage of success during the exercise is computed. C2. Target detection rapidity: The elapsed time between the appearance of the target and the detection is measured in tu (time unit). C3. Driving: In order to go from one point to another, the trainee has to choose a suitable trajectory, or to follow a given one as precisely as possible. A qualitive score is given by the instructor, ranging from A (excelent) to E (hopeless). C4. Communication: The trainee is supposed to belong to some unit, and thus he should understand and obey orders, and also report actions. As for the driving criterion, a qualitative score is given by the instructor, ranging from A (perfect) to E (incontrollable). 2000 Mathematics Subject Classification. 68T30, 68T05, 03E72.