ON NEW AGGREGATION FUNCTIONS OF ADDITIVE VALUE WITHIN THE FRAMEWORK OF THE GROUP DECISION
An average is a value representing a set of data. The main averages are: the arithmetic mean, the geometric mean and the harmonic mean. Some decisions often depend on several contradictory criteria and also on several decision-makers. This is of great importance to group decision support. The dynamics of group aggregation of individual decisions has been a matter of central importance in the theory of decision [12]. There are many problem solving methods that are part of the group decision, but many of them are difficult to use and do not allow to obtain a choice of consensus. It is clear that the arithmetic mean is the one that comes most often in many aggregation functions. In this paper, we use this average to develop a collective aggregation function called the MACASP method.We also use the harmonic mean for the implementation of another function of collective aggregation, the Lon-Zo method.Since there is already in the literature a collective aggregation method based on the Electre I method, we make a digital application of these two aggregation functions and carry comparison between the Electre I method, Lon-Zo and MACASP methods.We find that our two aggregation functions give satisfactory results and are easier to use.
group decision, harmonic mean, Electre I method, arithmetic average, Lon-Zo method, MACASP method.