TY - GEN
T1 - Modeling uncertainty in first-order logic
T2 - 8th International Symposium on Imprecise Probability: Theories and Applications, ISIPTA 2013
AU - Núñez, Rafael C.
AU - Scheutz, Matthias
AU - Premaratne, Kamal
AU - Murthi, Manohar N.
N1 - Funding Information:
This work is based on research supported by the US Office of Naval Research (ONR) via grants #N00014-10-1-0140. and #N00014-11-1-0493, and the US National Science Foundation (NSF) via grant #1038257.
Publisher Copyright:
© 2013 Proceedings of the 8th International Symposium on Imprecise Probability.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - First order logic lies at the core of many methods in mathematics, philosophy, linguistics, and computer science. Although important efforts have been made to extend first order logic to the task of handling uncertainty, there is still a lack of a consistent and unified approach, especially within the Dempster-Shafer (DS) theory framework. In this work we introduce a systematic approach for building belief assignments based on first order logic formulas. Furthermore, we outline the foundations of Uncertain Logic, a robust framework for inference and modeling when information is available in the form of first order logic formulas subject to uncertainty. Applications include data fusion, rule mining, credibility estimation, and crowd sourcing, among many others.
AB - First order logic lies at the core of many methods in mathematics, philosophy, linguistics, and computer science. Although important efforts have been made to extend first order logic to the task of handling uncertainty, there is still a lack of a consistent and unified approach, especially within the Dempster-Shafer (DS) theory framework. In this work we introduce a systematic approach for building belief assignments based on first order logic formulas. Furthermore, we outline the foundations of Uncertain Logic, a robust framework for inference and modeling when information is available in the form of first order logic formulas subject to uncertainty. Applications include data fusion, rule mining, credibility estimation, and crowd sourcing, among many others.
KW - Belief theory
KW - Dempster-shafer theory
KW - Probabilistic logic
KW - Uncertain logic
KW - Uncertain reasoning
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M3 - Conference contribution
AN - SCOPUS:84921807348
T3 - ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability: Theories and Applications
SP - 265
EP - 274
BT - ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability
A2 - Cozman, Fabio
A2 - Denoeux, Thierry
A2 - Destercke, Sebastien
A2 - Seidenfeld, Teddy
PB - Society for Imprecise Probability: Theories and Applications, SIPTA
Y2 - 2 July 2013 through 5 July 2013
ER -