On decomposable measures constructed by using stationary fuzzy pseudo-ultrametrics
We prove that for a given stationary fuzzy ultrametric space (in the sense of Kramosil & Michalek) it can induce a sigma--superdecomposable measure, by constructing a Hausdorff fuzzy pseudo-metric on its power set. We also prove that the restriction of the sigma--superdecomposable measure to the sigma-algebra of all measurable sets is a sigma--decomposable measure. Finally we conclude this paper with two open problems.
decomposable measures non-additive measures fuzzy metric spaces t-norm t-conorm