Issue: 2024/Vol.34/No.2, Pages 135-161
EVALUATION AND CHOICE OF AN ANTI-AIRCRAFT MISSILE SYSTEM UNDER UNCERTAIN CONDITIONS BASED ON FUZZY-INTEGRAL CALCULUS AND HIERARCHICAL CLUSTER ANALYSIS
Sergey Sveshnikov
, Victor Bocharnikov , Yuri Mudrak
Cite as: S. Sveshnikov, V. Bocharnikov, Y. Mudrak. Evaluation and choice of an anti-aircraft missile system under uncertain conditions based on fuzzy-integral calculus and hierarchical cluster analysis. Operations Research and Decisions 2024: 34(2), 135-161. DOI 10.37190/ord240209
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.
Keywords: evaluation, uncertainty, fuzzy-integral calculus, hierarchical clustering, anti-aircraft missile system
Received: 18 May 2023 Accepted: 4 April 2024
Published online: 8 July 2024