A Boolean Algebra of Receiver Operating Characteristic Curves
Abstract
A reasonable starting place for developing decision fusion rules of families of classification systems is using the logical AND and OR rules. These two rules, along with the unary rule NOT, can lead to a Boolean algebra when a number of properties are shown to exist. This paper examines how these rules for classification system families comprise a Boolean algebra of systems. This Boolean algebra of families is then shown under assumptions of independence to be isomorphic to a Boolean Algebra of Receiver Operating Characteristic (ROC) curves. These decision fusion rules produce ROC curves which become the bounds by which to test non-boolean, possibly non-decision fusion rules for performance increases. We give an example to demonstrate the usefulness of this Boolean Algebra of ROC curves.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 2007
- Accession Number
- ADA521040
Entities
People
- Christine M Schubert
- Mark E. Oxley
- Steven N. Thorsen
Organizations
- Air Force Institute of Technology