Using the Monte - Carlo method and genetic programming to obtain a mathematical model of the method of evolutionary matching of solutions

Vladislav I. Protasov, Zinaida E. Potapova, Roman O. Mirakhmedov, Vladislav A. Klimenko

Moscow Aviation Institute (National University), Moscow Institute of Physics and Technology (National University)

Abstract. The paper discusses a new decision-making method - the method of evolutionary decision matching, which has been developed over a number of years at the Moscow Aviation Institute. The theoretical substantiation of the method is given, using the Georg Rasch model and the Condorcet jury theorem. The method is based on the procedure of evolutionary coordination of the solution, built on the basis of genetic algorithms. To build a mathematical model of the method, genetic programming is used. The training sample was obtained based on calculations using the Monte Carlo model and a computer model of the evolutionary decision matching method. The analysis of the mathematical model showed a significant decrease in the probability of making mistakes when solving problems for any difficulty values.

solution matching, problem difficulty, Rasch model, Condorcet theorem, genetic algorithms, genetic algorithms, error reduction

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