On possibilistic mean value and variance of fuzzy numbers (Q5951747)

The authors introduce a lower possibilistic mean and an upper possibilistic mean of a fuzzy number. Both constitute the interval-valued possibilistic mean, which is a proper subset of the interval-valued mean introduced by \textit{D. Dubois} and \textit{H. Prade} [ibid. 24, 279--300 (1987; Zbl 0634.94026)]. Formally, also a possibilistic variance of a fuzzy number is introduced. Both possibilistic mean and possibilistic variance share some properties known from the probabilistic counterparts.