Constructing fuzzy numbers from arbitrary statistical intervals

We show a simple method to construct a fuzzy number from an arbitrary statistical interval around the mean (or central value) of a sample while considering the uncertainty in the assumed distribution. Furthermore, we discuss its relationship with probability-possibility transformations and fuzzy estimators. Finally, we suggest some possible applications in evolving information systems of the proposed fuzzy number and other fuzzy numbers which can be constructed from well-known statistical intervals.