This paper presents two methods based on probabilistic sets to achieve
some problems in data analysis. We are indebted to Professor Arnold K
aufmann for the beginnings of these two methods; some of the first ide
as were found in his profile work. The first method is related to subj
ective data analysis, the second one is an approach for establishing a
relationship two data sets, the first one having a subjective origin
and the second one being objective. The purpose of this paper is not t
o compete with improved data analysis methods but to propose, if data
can be taken into account as probabilistic fuzzy sets, to use such a r
epresentation, which loses very little information. Both methods were
tested on real data and the results compared with those obtained with
improved data analysis methods, mainly those of the Principal Componen
t Analysis and Multiple Correspondence Factor Analysis.