Advances and Applications in Discrete Mathematics
Volume 26, Issue 2, Pages 179 - 196
(March 2021) http://dx.doi.org/10.17654/DM026020179 |
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NEW COLLECTIVE AGGREGATION FUNCTION OF ADDITIVE VALUE FUNCTIONS BY THE QUADRATIC MEAN
Zoïnabo Savadogo, Saïdou Ouedraogo, Frédéric Nikiema, Somdouda Sawadogo and Blaise Some
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Abstract: Group decision-making plays a crucial role in decision support. Indeed today, it seems that a decision made by a single decision-maker hardly reflects reality. Many methods have been dealt with in group decision support. Generally, this is done through a collective aggregation function which, through the judgments given by each decision-maker on actions, must at the end find an action that is the best or represents a consensus.
In many cases, the individual transformation into a collective preference encounters difficulties taking into account the fact that the use of certain methods generates a lot of calculations. Others are also based on the weighted average which is criticized because the weak criteria are compensated by the strongest.
In this work, the collective aggregation function that we have developed is based on the quadratic mean. We note that it is easy to implement and does not entail compensation for the so-called weak criteria by the stronger ones. We also made a digital application and got some interesting results. |
Keywords and phrases: quadratic mean, aggregation function, collective, additive value functions.
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