Equivalent conditions for laws of large numbers for T-related L-R fuzzy numbers
In this paper, we give some necessary and sufficient conditions for laws of large numbers for sequence of mutually T-related L-R fuzzy numbers when T is an continuous Archimedean t-norm and diameter of support of the fuzzy numbers is not uniformly bounded. We also consider some necessary and sufficient conditions for laws of large numbers for L-R fuzzy random numbers, and generalize earlier results of Fuller (Fuzzy Sets and Systems 45 (1992) 299-303), Triesch (Fuzzy Sets and Systems 58 (1993) 339-342) and Hong and Lee (Fuzzy Sets and Systems 121 (2001) 537-543). (C) 2002 Elsevier Science B.V. All rights reserved.
law of large numbers fuzzy numbers continuous archimedean t-norm necessity random fuzzy numbers