MEASURING TOTAL UNCERTAINTY IN DEMPSTER-SHAFER THEORY: A NOVEL APPROACH

DOI10.1080/03081079408935225zbMath0867.28014OpenAlexW1971520700MaRDI QIDQ4306551

David Harmanec, George J. Klir

Publication date: 8 July 1997

Published in: International Journal of General Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081079408935225

zbMATH Keywords

Dempster-Shafer theorymaximum entropy principleevidence theorybody of evidencemeasure of total uncertainty

Mathematics Subject Classification ID

Modal logic (including the logic of norms) (03B45) Logic in artificial intelligence (68T27) Foundations of probability theory (60A99) Measures of information, entropy (94A17) Fuzzy measure theory (28E10) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05)

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Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• On the uniqueness of possibilistic measure of uncertainty and information
• Properties of measures of information in evidence and possibility theories
• Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like?
• Classification of possibilistic uncertainty and information functions
• Uniqueness of information measure in the theory of evidence
• Measures of discord in the Dempster-Shafer theory
• MEASURES OF ENTROPY IN THE THEORY OF EVIDENCE
• MAXIMUM ENTROPY ALGORITHMS FOR UNCERTAINTY MEASURES
• UNCERTAINTY IN THE DEMPSTER-SHAFER THEORY: A CRITICAL RE-EXAMINATION
• ENTROPY AND SPECIFICITY IN A MATHEMATICAL THEORY OF EVIDENCE
• A NOTE ON MEASURES OF SPECIFICITY FOR FUZZY SETS
• MEASURES OF UNCERTAINTY AND INFORMATION BASED ON POSSIBILITY DISTRIBUTIONS
• DISCORD IN POSSIBILITY THEORY
• AN UNCERTAINTY MEASURE WITH MONOTONICITY UNDER THE RANDOM SET INCLUSION
• MEASURE OF STRIFE IN DEMPSTER-SHAFER THEORY

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