Estimation of weights in multi-criteria decision-making optimization models

Multi-criteria evaluation of alternatives is a category of the operational research that uses various kinds of methods to find the best alternative, the order of the alternatives or divide them into efficient and inefficient according to the selected criteria. A lot of methods need cardinal information about the criteria it means weights of the criteria to calculate the results. The weight vector describes the importance of criteria and its influence over the results may be crucial. It is easy to find non-dominated alternatives but it is not easy to say which of them can be on the top. Sometimes it is good to know whether there exists a weight vector for the selected alternative to be at the first place. That is why we have decided to think about the method that tells us what weight vector should be used for the selected alternative to be on the first place. This article describes the optimization models for this situation when selected methods of multi-criteria evaluation of alternatives are used.