### Abstract

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.

Original language | English (US) |
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Title of host publication | ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability |

Subtitle of host publication | Theories and Applications |

Editors | Teddy Seidenfeld, Fabio Cozman, Thierry Denoeux, Sebastien Destercke |

Publisher | Society for Imprecise Probability: Theories and Applications, SIPTA |

Pages | 265-274 |

Number of pages | 10 |

ISBN (Electronic) | 9782913923355 |

State | Published - Jan 1 2013 |

Event | 8th International Symposium on Imprecise Probability: Theories and Applications, ISIPTA 2013 - Compiegne, France Duration: Jul 2 2013 → Jul 5 2013 |

### Publication series

Name | ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability: Theories and Applications |
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### Conference

Conference | 8th International Symposium on Imprecise Probability: Theories and Applications, ISIPTA 2013 |
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Country | France |

City | Compiegne |

Period | 7/2/13 → 7/5/13 |

### Fingerprint

### Keywords

- Belief theory
- Dempster-shafer theory
- Probabilistic logic
- Uncertain logic
- Uncertain reasoning

### ASJC Scopus subject areas

- Statistics and Probability

### Cite this

*ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability: Theories and Applications*(pp. 265-274). (ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability: Theories and Applications). Society for Imprecise Probability: Theories and Applications, SIPTA.

**Modeling uncertainty in first-order logic : A dempster-shafer theoretic approach.** / Núñez, Rafael C.; Scheutz, Matthias; Premaratne, Kamal; Murthi, Manohar.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability: Theories and Applications.*ISIPTA 2013 - Proceedings of the 8th International Symposium on Imprecise Probability: Theories and Applications, Society for Imprecise Probability: Theories and Applications, SIPTA, pp. 265-274, 8th International Symposium on Imprecise Probability: Theories and Applications, ISIPTA 2013, Compiegne, France, 7/2/13.

}

TY - GEN

T1 - Modeling uncertainty in first-order logic

T2 - A dempster-shafer theoretic approach

AU - Núñez, Rafael C.

AU - Scheutz, Matthias

AU - Premaratne, Kamal

AU - Murthi, Manohar

PY - 2013/1/1

Y1 - 2013/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=84921807348&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84921807348&partnerID=8YFLogxK

M3 - Conference contribution

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 - Seidenfeld, Teddy

A2 - Cozman, Fabio

A2 - Denoeux, Thierry

A2 - Destercke, Sebastien

PB - Society for Imprecise Probability: Theories and Applications, SIPTA

ER -