A new definition of entropy of belief functions in the Dempster-Shafer theory

DOI10.1016/j.ijar.2017.10.010zbMath1423.68505OpenAlexW2590498657MaRDI QIDQ1687270

Prakash P. Shenoy, Radim Jiroušek

Publication date: 22 December 2017

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2017.10.010

zbMATH Keywords

maximum entropy propertyDempster's rule of combinationDempster-Shafer theory of belief functionsDempster-Shafer theory semanticsplausibility transform of a belief function

Mathematics Subject Classification ID

Knowledge representation (68T30) Reasoning under uncertainty in the context of artificial intelligence (68T37) Measures of information, entropy (94A17)

Related Items (18)

Approximations of belief functions using compositional models ⋮ On the negation of a Dempster-Shafer belief structure based on maximum uncertainty allocation ⋮ Fractal-based basic probability assignment: a transient mass function ⋮ Logical entropy and aggregation of fuzzy orthopartitions ⋮ A generalization of Rényi entropy for basic probability assignment ⋮ Belief eXtropy: Measure uncertainty from negation ⋮ A Decomposable Entropy of Belief Functions in the Dempster-Shafer Theory ⋮ Higher order information volume of mass function ⋮ Fractal-based belief entropy ⋮ Computing the decomposable entropy of belief-function graphical models ⋮ An improved belief structure satisfaction to uncertain target values by considering the overlapping degree between events ⋮ Bim-afa: Belief information measure-based attribute fusion approach in improving the quality of uncertain data ⋮ Entropy and monotonicity in artificial intelligence ⋮ Rough set-based feature selection for weakly labeled data ⋮ D number theory based game-theoretic framework in adversarial decision making under a fuzzy environment ⋮ On properties of a new decomposable entropy of Dempster-Shafer belief functions ⋮ Interval-valued belief entropies for Dempster-Shafer structures ⋮ Entropy for evaluation of Dempster-Shafer belief function models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• On the relative belief transform
• Perspectives on the theory and practice of belief functions
• Constructive probability
• Properties of measures of information in evidence and possibility theories
• Uniqueness of information measure in the theory of evidence
• Rejoinders to comments on Perspectives on the theory and practice of belief functions
• Two views of belief: Belief as generalized probability and belief as evidence
• Uncertainty measures for evidential reasoning. I: A review
• Uncertainty measures for evidental reasoning. II: A new measure of total uncertainty
• The transferable belief model
• Entropy of belief functions in the Dempster-Shafer theory: a new perspective
• Analyzing properties of Deng entropy in the theory of evidence
• A mathematical theory of hints. An approach to the Dempster-Shafer theory of evidence
• Uncertainty-based information. Elements of generalized information theory.
• Generalized information theory for hints
• Deng entropy
• On the plausibility transformation method for translating belief function models to probability models
• Risk, Ambiguity, and the Savage Axioms
• MEASURES OF ENTROPY IN THE THEORY OF EVIDENCE
• CALCULATING MAXIMUM-ENTROPY PROBABILITY DENSITIES FOR BELIEF FUNCTIONS
• MAXIMUM ENTROPY ALGORITHMS FOR UNCERTAINTY MEASURES
• Combining nonspecificity measures in Dempster–Shafer theory of evidence
• UNCERTAINTY IN THE DEMPSTER-SHAFER THEORY: A CRITICAL RE-EXAMINATION
• Requirements for total uncertainty measures in Dempster–Shafer theory of evidence
• ENTROPY AND SPECIFICITY IN A MATHEMATICAL THEORY OF EVIDENCE
• AN UNCERTAINTY MEASURE WITH MONOTONICITY UNDER THE RANDOM SET INCLUSION
• MEASURE OF STRIFE IN DEMPSTER-SHAFER THEORY
• MEASURING TOTAL UNCERTAINTY IN DEMPSTER-SHAFER THEORY: A NOVEL APPROACH
• ON THE COMPUTATION OF UNCERTAINTY MEASURE IN DEMPSTER-SHAFER THEORY
• A computationally efficient approximation of Dempster-Shafer theory
• COMPLETING A TOTAL UNCERTAINTY MEASURE IN THE DEMPSTER-SHAFER THEORY
• AN ALGORITHM TO COMPUTE THE UPPER ENTROPY FOR ORDER-2 CAPACITIES
• On transformations of belief functions to probabilities
• Upper and Lower Probabilities Induced by a Multivalued Mapping

This page was built for publication: A new definition of entropy of belief functions in the Dempster-Shafer theory