Study of the choice of the weighting measure aphi; on the aphi;-wabl/ldev/rdev median.

When summarizing the location of a random fuzzy number, some more robust approaches than the well-known Aumann-type mean have been proposed in the literature. Among them, the 'wabl/ldev/rdev median extends the concept of median from the real-valued case. The characterization for fuzzy numbers and the distance the 'wabl/ldev/redev median is based on will be recalled. This distance involves a weighting measure to distinguish the relevance of the different �-levels ('). Since the '-wabl/ldev/rdev median depends on such a weighting measure, a sensitivity analysis on the real influence of this choice on the estimate will be developed.