Extension of Relational Event Algebra to a General Decision Making Setting

Abstract

Relational Event Algebra (REA) is a new mathematical tool which provides all explicit algebraic reconstruction of events (appropriately designated as relational events) when initially only the formal probability values of such events are given as functions of known contributing event probabilities. In turn, once such relational events are obtained, one call then determine the probability of any finite logical combination, and in particular, various probabilistic distance measures among the events. A basic application of REA is to test hypotheses for the similarity of distinct models attempting to describe the same events such as in data fusion and combination of evidence. This paper considers new motivation for the use of REA, as well as a more general decision-making framework where system performance and redundancy/consistency tradeoffs are considered.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1998
Accession Number
ADA365034

Entities

People

  • G. F. Kramer
  • I. R. Goodman

Organizations

  • Naval Information Warfare Systems Command

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boolean Algebra
  • Classification
  • Command And Control
  • Complex Systems
  • Fuzzy Logic
  • Fuzzy Sets
  • Hypotheses
  • Language
  • Linguistics
  • Logic
  • Mathematics
  • Nonlinear Dynamics
  • Numbers
  • Pattern Recognition
  • Probability
  • Redundancy
  • Rule Based Systems

Fields of Study

  • Mathematics

Readers

  • Neural Network Machine Learning.
  • Regression Analysis.
  • Statistical inference.