Article ID: | iaor19972121 |
Country: | Netherlands |
Volume: | 16 |
Issue: | 1 |
Start Page Number: | 39 |
End Page Number: | 53 |
Publication Date: | Jan 1996 |
Journal: | Decision Support Systems |
Authors: | Hooker J.N., Andersen K.A. |
Keywords: | logic |
Several logics for reasoning under uncertainty distribute ‘probability mass’ over sets in some sense. These include probabilistic logic, Dempster-Shafer theory, other logics based on belief functions, and second-order probabilistic logic. The authors show that these logics are instances of a certain type of linear programming model, typically with exponentially many variables. The authors also show how a single linear programming package can implement these logics computationally if one ‘plugs in’ a different column generation subroutine for each logic, although the practicality of this approach has been demonstrated so far only for probabilistic logic.