The Choquet integral with respect to fuzzy measures and applications Skip to content Should
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A Vitali convergence theorem is proved for subspaces of an abstract convex combination
space which admits a complete separable metric. The convergence may be in that metric or …

The seminal result of Benamou and Brenier provides a characterization of the Wasserstein
distance as the path of the minimal action in the space of probability measures, where paths …

The connection between probability and g-integral is investigated. The purposes of this
paper are mainly to introduce the concept g-expectation with general kernels on a g …

The Wasserstein distances between probability distributions are an important tool in modern
probability theory which has been generalized to sets of probability distributions. We will …

In this study, we embed a metric space endowed with a convex combination operation,
which is called a convex combination space, into a Banach space, where the embedding …

The study of random geometrical objects goes back to the famous Buffon needle problem.
Similar to the ideas of Geometric Probability, which can be traced back to the very origins of …

A random set is a multivalued measurable function defined on a probability space. If this
multivalued function depends on the second argument (eg, time or space), then random …

The space 𝔽 F of closed sets (and also the space 𝕂 K of compact sets) is non-linear, so that
conventional concepts of expectations in linear spaces are not directly applicable for …

As the name suggests, a random set is an object with values being sets, so that the
corresponding record space is the space of subsets of a given carrier space. At this stage, a …