The extension of imprecise probabilities based on generalized Credal sets

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Abstract

In the paper we continue investigations started in the paper presented at ISIPTA’15, where the notions of lower and upper generalized credal sets has been introduced. Generalized credal sets are models of imprecise probabilities, where it is possible to describe contradiction in information, when the avoiding sure loss condition is not satisfied. The paper contains the basic principles of approximate reasoning: models of uncertainty based on upper previsions and generalized credal sets, natural extension, and coherence principles.

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Bronevich, A. G., & Rozenberg, I. N. (2017). The extension of imprecise probabilities based on generalized Credal sets. In Advances in Intelligent Systems and Computing (Vol. 456, pp. 87–94). Springer Verlag. https://doi.org/10.1007/978-3-319-42972-4_11

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