Autocontinuity, convergence in measure, and convergence in distribution
It is shown that the autocontinuity is equivalent to the property that the convergence in measure implies the convergence in distribution. This result is applied to Denneberg's dominated convergence theorem for the Choquet integral. (C) 1997 Elsevier Science B.V.
autocontinuity convergence in measure convergence in distribution choquet integral measure theory fuzzy measure