Математичне моделювання процесу багатокритеріального прийняття рішень у системах управління

Abstract

This study is relevant because well-reasoned decisions must be made in complex management systems that require the simultaneous consideration of multiple conflicting criteria. Traditional optimisation methods do not always provide sufficiently accurate results in such conditions; therefore, multicriteria analysis approaches are appropriate. This study aims to examine the mathematical modelling of multicriteria choice and investigate the potential of hierarchical ranking methods, particularly TOPSIS, Fuzzy TOPSIS and AHP, for evaluating and ranking alternatives. The study illuminates the principles of model construction and the determination of criteria weights, as well as the use of ideal and anti-ideal solutions in the decision-making process. The analysis demonstrates the effectiveness of combining AHP and TOPSIS methods to improve the validity of the chosen option. The results obtained may be applied in decision-support systems, enterprise management, and risk assessment