A linear programming framework for logics of uncertainty

A linear programming framework for logics of uncertainty

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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: ,
Keywords: logic
Abstract:

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.

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