Multiplicative method based on expected criteria values

Abstract

When making a choice, there is a tendency to make the decision-making process as efficient as possible. The choice of method depends on the type of problem to be solved, but it also depends on the knowledge and experience of the decision maker in the field of multi-criteria analysis. The aim of this paper is to show how an additive multi-criteria decision-making model can be naturally converted into a multiplicative one. In this way, it is possible for the decision-maker to choose between additive and multiplicative approaches as suits him better. The paper introduces methodology and provides an algorithm for construction of multiplicative MCDM model based on aggregation function introduced by Žižović et al. (2016). The concept of ratio of the expected alternative value with respect to the ideal value and to anti-ideal value, for all criteria, are introduced and based on these relations, weighted coefficients for multiplicative method are given. Also, we provide a normalization method for multiplicative MCDM method based on values from decision matrix.