The Role of Conditional Event Algebra in the Modeling of C3 Systems

Abstract

This paper highlights the newly-emerging discipline of conditional event algebra, showing how this area can be of use in combining conditional evidence in a command control communications setting, compatible with all possible conditional probability evaluations. Typically, such information arises from many different sources and has widely varying antecedents. Recent breakthroughs are underscored, including: (1) derivation of a number of new properties pointing to a particular conditional event algebra (GNW) as being one of the leading candidates of choice; (2) full development of non-boolean operators acting upon conditional events, including cartesian products and inverse functions, resulting in a fully-developed model of joint conditional rand variables. In addition, a recent uniqueness of representation of fuzzy sets by random sets is shown for both the unconditional and conditional cases. Finally, a previously introduced diagonalization technique for combining different stochastic information is further extended and justified, showing how multi-source linguistic-based and stochastic, conditional and unconditional, information can be combined.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA262985

Entities

People

  • I. R. Goodman

Organizations

  • Naval Command, Control and Ocean Surveillance Center

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms
  • Sensors

DTIC Thesaurus Topics

  • Boolean Algebra
  • Command Control Communications
  • Computational Science
  • Data Fusion
  • Fuzzy Sets
  • Indicators
  • Intervals
  • Language
  • Logic
  • Mathematical Models
  • Natural Languages
  • Notation
  • Ocean Surveillance
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Set Theory

Readers

  • Artificial Intelligence
  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • Fully Networked C3
  • Fully Networked C3 - Command and Control