A linear programming framework for logics of uncertainty

@article{Andersen1996ALP,
  title={A linear programming framework for logics of uncertainty},
  author={K. A. Andersen and John N. Hooker},
  journal={Decision Support Systems},
  year={1996},
  volume={16},
  pages={39-53}
}
Several logics for reasoning under uncertainty distribute probabil ity mass over sets in some sense These include probabilistic logic Dempster Shafer theory other logics based on belief functions and second order probabilistic logic We show that these logics are in stances of a certain type of linear programming model typically with exponentially many variables We also show how a single linear pro gramming package can implement these logics computationally if one plugs in a di erent column… CONTINUE READING
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 11 extracted citations

An Algorithm for Constructing and Searching Spaces of Alternative Hypotheses

IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) • 2011
View 4 Excerpts
Highly Influenced

Research of uncertain reasoning based on Description Logic and Horn rule

2011 IEEE 3rd International Conference on Communication Software and Networks • 2011

Research of uncertain reasoning based on resolution principle for constrained logics

2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC) • 2011

Possible Semantics for a Common Framework of Probabilistic Logics

Interval / Probabilistic Uncertainty and Non-Classical Logics • 2008
View 1 Excerpt

Sample Spaces and Feature Models: There and Back Again

2008 12th International Software Product Line Conference • 2008
View 1 Excerpt

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Boole's Logic and Probability, Studies in Logic and the Foundations of Mathematics v

T. Hailperin
1976
View 4 Excerpts
Highly Influenced

Araga o, Column generation methods for probabilistic logic, ORSA

B. Jaumard, M.P.P. Hansen
Journal on Computing • 1991
View 2 Excerpts

A quantitative approach to logical inference

Decision Support Systems • 1988
View 1 Excerpt

Probabilistic logic, in Non-standard Logics for Automated Reasoning, ed

G. Paa
P. Smets em et al., Academic Press (New York, • 1988
View 1 Excerpt

An inequality paradigm for probabilistic reasoning

B. N. Grosof
Uncertainty in Arti cial Intelligence • 1986
View 1 Excerpt

Non-monotonicity in probabilistic knowledge

B. N. Grosof
Uncertainty in Arti cial Intelligence • 1986
View 1 Excerpt

Similar Papers

Loading similar papers…