Possibilistic Vulnerability Measures

Abstract

Possibility theory has been developed to handle data that are vague but not necessarily probabilistic. Because this type of information is characteristic for vulnerability problems, possibility theory is particularly well suited for applications in vulnerability analysis. This report provides a short introduction to the theory and describes how possibilistic concepts can be used to analyze vulnerabilities. The essential result is the establishment of measures for the possibility and necessity of kill of a system in presence of a threat. The system, the threat and the responses of elementary system components are approximately defined in terms of fuzzy sets. This information is used to specify a possibilistic pattern matching problem the solution of which are degrees of possibility and necessity that the system is killed. The advantage of these measures of vulnerability is that they indicate not only whether a system is intact or damaged, but also how close the system is to the threshold of damage. Keywords: Degree of possibility; Degree of necessity; Possibilistic kill criterion; Vaque data; Possibilistic pattern matching.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1989
Accession Number
ADA215445

Entities

People

  • Aivars Celmins

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • C4I
  • Human Systems
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Army
  • Army Aviation
  • Availability
  • Classification
  • Commerce
  • Computations
  • Computer Programs
  • Deflection
  • Equations
  • Four Dimensional
  • Fuzzy Sets
  • Probabilistic Models
  • Probability
  • Security
  • Two Dimensional
  • Vulnerability

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Strategic Security Studies
  • Vision Science/Vision Psychology/Cognitive Neuroscience.