We prove that for a given normalized compact metric space it can induce a -max-superdecomposable measure, by constructing a Hausdorff pseudometric on its power set. We also prove that the restriction of this set function to the algebra of all measurable sets is a -max-decomposable measure. Finally we conclude this paper with two open problems.
"On Decomposable Measures Induced by Metrics." J. Appl. Math. 2012 1 - 8, 2012. https://doi.org/10.1155/2012/701206