Arithmetic and distance-based approach to the statistical analysis of imprecisely valued data

Most of the research developed in the last years by the SMIRE Research Group concerns the statistical analysis of imprecisely (set- and fuzzy set)-valued experimental data. This analysis has been based on an approach considering the usual arithmetic for these data as well as suitable metrics between them. The research perfectly fits into the research directions of the COST Action IC0702, which has been particularly helpful for scientific activities, discussions and exchanges associated with group members. The main objective of this paper is to summarize some of the main recent advances of the SMIRE Research Group.