On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability

The process of outer approximating a coherent lower probability by a more tractable model with additional properties, such as 2- or completely monotone capacities, may not have a unique solution. In this paper, we investigate whether a number of approaches may help in eliciting a unique outer approx...

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Detalles Bibliográficos
Autores principales: Miranda, Enrique, Montes, Ignacio, Vicig, Paolo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274745/
http://dx.doi.org/10.1007/978-3-030-50143-3_6
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author Miranda, Enrique
Montes, Ignacio
Vicig, Paolo
author_facet Miranda, Enrique
Montes, Ignacio
Vicig, Paolo
author_sort Miranda, Enrique
collection PubMed
description The process of outer approximating a coherent lower probability by a more tractable model with additional properties, such as 2- or completely monotone capacities, may not have a unique solution. In this paper, we investigate whether a number of approaches may help in eliciting a unique outer approximation: minimising a number of distances with respect to the initial model, or maximising the specificity of the outer approximation. We apply these to 2- and completely monotone approximating lower probabilities, and also to possibility measures.
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spelling pubmed-72747452020-06-08 On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability Miranda, Enrique Montes, Ignacio Vicig, Paolo Information Processing and Management of Uncertainty in Knowledge-Based Systems Article The process of outer approximating a coherent lower probability by a more tractable model with additional properties, such as 2- or completely monotone capacities, may not have a unique solution. In this paper, we investigate whether a number of approaches may help in eliciting a unique outer approximation: minimising a number of distances with respect to the initial model, or maximising the specificity of the outer approximation. We apply these to 2- and completely monotone approximating lower probabilities, and also to possibility measures. 2020-05-15 /pmc/articles/PMC7274745/ http://dx.doi.org/10.1007/978-3-030-50143-3_6 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Miranda, Enrique
Montes, Ignacio
Vicig, Paolo
On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability
title On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability
title_full On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability
title_fullStr On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability
title_full_unstemmed On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability
title_short On the Elicitation of an Optimal Outer Approximation of a Coherent Lower Probability
title_sort on the elicitation of an optimal outer approximation of a coherent lower probability
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274745/
http://dx.doi.org/10.1007/978-3-030-50143-3_6
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