An approach to generalize laws of large numbers for fuzzy random variables (Q698768)

Strong and weak laws of large numbers for fuzzy random variables are presented. Although some techniques used here are well known in classical probability theory [and have been suggested by \textit{R. Körner}, ibid. 92, No. 1, 83-93 (1997; Zbl 0936.60017)] the author overcomes some difficulties, e.g. the lack of a distributive law for fuzzy sets with the consequence that the classical concept of symmetrization cannot be used. The concept of variance of a fuzzy random variable, however, demonstrates its efficiency.