We investigate the problem of approximating a coherent lower probability on a finite space by a 2-monotone capacity that is at the same time as close as possible while not including additional information. We show that this can be tackled by means of a linear programming problem, and investigate the features of the set of undominated solutions. While our approach is based on a distance proposed by Baroni and Vicig, we also discuss a number of alternatives. Finally, we show that our work applies to the more general problem of approximating coherent lower previsions.
CITATION STYLE
Montes, I., Miranda, E., & Vicig, P. (2018). Approximations of coherent lower probabilities by 2-monotone capacities. In Communications in Computer and Information Science (Vol. 854, pp. 214–225). Springer Verlag. https://doi.org/10.1007/978-3-319-91476-3_18
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