The Synthesis Function Method for Solving the Multi-Criteria Linear-Fractional Model in Integers [Articol]

Abstract

In 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.