Tkacenko, Alexandra2025-07-102024TKACENKO, Alexandra. The Synthesis Function Method for Solving the Multi-Criteria Linear-Fractional Model in Integers. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 476-482. ISBN 978-9975-68-515-3.978-9975-68-515-3https://msuir.usm.md/handle/123456789/18296In this paper, I will propose a method for solving the linearfractional multi-criteria optimization model with identical denominators in whole numbers. The solving procedure involves assigning utilities (weights) to each criterion, after which a singlecriterion linear-fractional optimization model is constructed and can be solved. By changing the utility values, we can determine a new optimal compromise solution(s). The algorithm is theoretically justified and it was tested successfully on several examples.enmulti-criteria model in integersefficient solutionoptimal compromise solutionArticle