Applying Fuzzy Relation Equations to Threat Analysis

Targeting behavior of vehicles in the battlefield (Target Analysis) is one of the most critical tasks in Computer Generated Forces (CGF) systems. This is simply because of many complex and ambiguous factors that can effect the targeting behavior of such systems in the real world. There has been many approaches including using Fuzzy Set Theory for Target Analysis. Target detection, and threat analysis and selection are considered the main constituents of Target Analysis and selection. In this paper we introduce a model to illustrate how to apply a fuzzy relational equation algorithm to threat analysis in context of Computer Generated Forces systems such ModSAF (Modular Semi Automated Forces) Using Fuzzy Relational Equations the proposed algorithm generates the data from the historic information and its earlier runs. Therefore, each new outcome of the algorithm is more realistic and more accurate than the earlier one. 1. BACKGROUND The threat level posed by various targets, in real life, depends on various factors some are situation dependent and some related to characteristics of the target being analyzed, such are its formation, its firing status, etc. A great deal of work has been done by the Institute for Simulation and Training (IST) to identify those factors. The following is a list of the factors identified in [1]: 1. Aggregate Threat Assessment 0-7695-1435-9/02 $17.0 ternational Conference on System Sciences (HICSS-35’02) 2. Near Counter Threat 3. Target's Effective Range 4. Target Firing Status 5. Aspect Angle 6. Relative Elevation of Target 7. Target Movement 8. Target Type 9. Sector of Fire Given the uncertainty and inaccuracy that is inherent in measuring/estimating the above factors, we use Fuzzy Set Theory to represent them. The following subsections, give a brief description of each of those factors. The reader is referred to [1] for a more detailed discussion. Aggregate Threat Assessment A target may be part of a unit and that unit could be a threatening or non-threatening unit. Targets belonging to a threatening unit are more threatening than the ones in non-threatening units. Factors considered in this category are: 1. Formation 2. Distance 3. Heading 4. Aiming Status 5. Closing Speed 6. Percentage of stationary targets To estimate the unit's level of threat the above six factors must be considered. A detailed