mathematics Article Computer Analysis of Human Belligerency José A. Tenreiro Machado 1,† , António M. Lopes 2,*,† and Maria Eugénia Mata 3,† 1 Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal;
[email protected] 2 LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal 3 Nova SBE, Nova School of Business and Economics (Faculdade de Economia da Universidade Nova de Lisboa), Rua da Holanda, 1, 2775-405 Carcavelos, Portugal;
[email protected] * Correspondence:
[email protected] † These authors contributed equally to this work. Received: 13 June 2020; Accepted: 20 July 2020; Published: 22 July 2020 Abstract: War is a cause of gains and losses. Economic historians have long stressed the extreme importance of considering the economic potential of society for belligerency, the role of management of chaos to bear the costs of battle and casualties, and ingenious and improvisation methodologies for emergency management. However, global and inter-temporal studies on warring are missing. The adoption of computational tools for data processing is a key modeling option with present day resources. In this paper, hierarchical clustering techniques and multidimensional scaling are used as efficient instruments for visualizing and describing military conflicts by electing different metrics to assess their characterizing features: time, time span, number of belligerents, and number of casualties. Moreover, entropy is adopted for measuring war complexity over time. Although wars have been an important topic of analysis in all ages, they have been ignored as a subject of nonlinear dynamics and complex system analysis.