This paper addresses the analysis of fuzzy data from a possibilistic p
erspective. The concept of a double fuzzy variable is introduced and r
elated notions are defined and investigated. The properties and fuzzy
parameter estimation of the possibility distribution are also investig
ated. A maximum possibility likelihood principle is provided to estima
te unknown fuzzy parameters. A normal possibility distribution is used
as an example and estimates of its fuzzy parameters are given. The pr
oposed possibility theory of fuzzy data constitutes a new approach to
analyzing fuzzy data from a possibilistic point of view. (C) 1998 Else
vier Science B.V.