MAXIMUM OF ENTROPY FOR CREDAL SETS

DOI10.1142/S021848850300234XzbMath1072.68099MaRDI QIDQ5696990

Joaquín Abellán, Serafín Moral

Publication date: 19 October 2005

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

uncertaintyimprecisionimprecise probabilitiesrandomnesscredal setsnon-specificity

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (20)

Classification with decision trees from a nonparametric predictive inference perspective ⋮ Disaggregated total uncertainty measure for credal sets ⋮ A new score for adaptive tests in Bayesian and credal networks ⋮ Upper entropy of credal sets. Applications to credal classification ⋮ Using credal C4.5 for calibrated label ranking in multi-label classification ⋮ On the selection of an optimal outer approximation of a coherent lower probability ⋮ Centroids of the core of exact capacities: a comparative study ⋮ Maximising entropy on the nonparametric predictive inference model for multinomial data ⋮ Adaptive selection of extra cutpoints -- towards reconciling robustness and interpretability in classification trees ⋮ Split Criterions for Variable Selection Using Decision Trees ⋮ Combining Decision Trees Based on Imprecise Probabilities and Uncertainty Measures ⋮ On the fusion of non-independent belief structures ⋮ Difference of entropies as a non-specificity function on credal sets† ⋮ Estimating information amount under uncertainty: algorithmic solvability and computational complexity ⋮ Measures of divergence on credal sets ⋮ Measures of uncertainty for imprecise probabilities: an axiomatic approach ⋮ Building classification trees using the total uncertainty criterion ⋮ Additivity of uncertainty measures on credal sets ⋮ Uncertainty measures on probability intervals from the imprecise Dirichlet model ⋮ Application of uncertainty measures on credal sets on the naive Bayesian classifier

Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• PROBABILITY INTERVALS: A TOOL FOR UNCERTAIN REASONING
• CALCULATING MAXIMUM-ENTROPY PROBABILITY DENSITIES FOR BELIEF FUNCTIONS
• A NON-SPECIFICITY MEASURE FOR CONVEX SETS OF PROBABILITY DISTRIBUTIONS
• ENTROPY AND SPECIFICITY IN A MATHEMATICAL THEORY OF EVIDENCE
• MEASURES OF UNCERTAINTY AND INFORMATION BASED ON POSSIBILITY DISTRIBUTIONS
• AN UNCERTAINTY MEASURE WITH MONOTONICITY UNDER THE RANDOM SET INCLUSION
• MEASURING TOTAL UNCERTAINTY IN DEMPSTER-SHAFER THEORY: A NOVEL APPROACH
• COMPLETING A TOTAL UNCERTAINTY MEASURE IN THE DEMPSTER-SHAFER THEORY
• Upper and Lower Probabilities Induced by a Multivalued Mapping

This page was built for publication: MAXIMUM OF ENTROPY FOR CREDAL SETS