Autocontinuity, convergence in measure, and convergence in distribution

doi:10.1016/S0165-0114(97)00170-X

Fuzzy Sets and Systems

Volume 92, Issue 2, 1 December 1997, Pages 197-203

https://doi.org/10.1016/S0165-0114(97)00170-X Get rights and content

Abstract

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.

References (4)

Z. Wang
The autocontinuity of set function and fuzzy integral
J. Math. Anal. Appl.
(1984)
D. Denneberg
Non-Additive Measure and Integral
(1994)

There are more references available in the full text version of this article.

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Autocontinuity, convergence in measure, and convergence in distribution

Abstract

J. Math. Anal. Appl.

Non-Additive Measure and Integral