A NON-SPECIFICITY MEASURE FOR CONVEX SETS OF PROBABILITY DISTRIBUTIONS
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Publication:3427889
DOI10.1142/S0218488500000253zbMath1113.68505OpenAlexW2174301901MaRDI QIDQ3427889
Serafín Moral, Joaquín Abellán
Publication date: 27 March 2007
Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218488500000253
Reasoning under uncertainty in the context of artificial intelligence (68T37) Foundations of probability theory (60A99)
Related Items (20)
Critique of modified Deng entropies under the evidence theory ⋮ Nonspecificity for infinite random sets of indexable type ⋮ AN ALGORITHM TO COMPUTE THE UPPER ENTROPY FOR ORDER-2 CAPACITIES ⋮ Upper entropy of credal sets. Applications to credal classification ⋮ Analyzing properties of Deng entropy in the theory of evidence ⋮ On the selection of an optimal outer approximation of a coherent lower probability ⋮ Extreme points of credal sets generated by 2-alternating capacities ⋮ Combining Decision Trees Based on Imprecise Probabilities and Uncertainty Measures ⋮ MAXIMUM OF ENTROPY FOR CREDAL SETS ⋮ Difference of entropies as a non-specificity function on credal sets† ⋮ Estimating information amount under uncertainty: algorithmic solvability and computational complexity ⋮ On the variety of imprecise probabilities ⋮ Measures of divergence on credal sets ⋮ Building classification trees using the total uncertainty criterion ⋮ Aleatoric and epistemic uncertainty in machine learning: an introduction to concepts and methods ⋮ Additivity of uncertainty measures on credal sets ⋮ Use and Applications of Non-Additive Measures and Integrals ⋮ An uncertainty interchange format with imprecise probabilities ⋮ Application of uncertainty measures on credal sets on the naive Bayesian classifier ⋮ Interpreting evidential distances by connecting them to partial orders: application to belief function approximation
Cites Work
- A Mathematical Theory of Communication
- Uniqueness of information measure in the theory of evidence
- Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
- Theory of capacities
- ENTROPY AND SPECIFICITY IN A MATHEMATICAL THEORY OF EVIDENCE
- A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets
- 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
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