We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff's theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact, separable metric space.
"Note on the Regularity of Nonadditive Measures." J. Appl. Math. 2013 (SI21) 1 - 4, 2013. https://doi.org/10.1155/2013/234681