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Regular version of the site

Book chapter

The Kantorovich Problem and Wasserstein Metric in the Theory of Belief Functions

P. 31-38.
Bronevich A., Rozenberg I. N.

The aim of this paper is to show that the Kantorovich problem, well known in models of economics and very intensively studied in probability theory in recent years, can be viewed as the basis of some constructions in the theory of belief functions. We demonstrate this by analyzing specialization relation for finitely defined belief functions and belief functions defined on reals. In addition, for such belief functions, we consider the Wasserstein metric and study its connections to disjunctions of belief functions.