Evaluation and Choice of an Anti-Aircraft Missile System under Uncertain Conditions Based on Fuzzy-Integral Calculus and Hierarchical Cluster Analysis

Abstract

Evaluation and choice of anti-aircraft missile weapon systems (AAMWSs) are a relevant problem in many countries. Estimates are often reduced to one top-level criterion. This is questionable since subordinated criteria are usually difficult to compare and decision-makers excluded from the final decision. The solution to the problem should also take into account non-statistical uncertainty. We propose to use a combination of two algorithms. The first algorithm calculates the estimates of AAMWSs in the criteria hierarchy using fuzzy-integral calculus. The hierarchy relates the characteristics of the AAMWSs to the three top-level criteria. In the space of these criteria, the second algorithm based on hierarchical clustering forms a class of the best AAMWSs equivalent to each other. The decision-maker makes the final choice from the obtained class, taking into account non-formalized factors. These algorithms are tested using the example of medium-range AAMWSs. (original abstract)