2017 , Volume 22, № 2, p.37-49

In many situations, our decision results either in a money gain (or loss) and/or in the gain of goods having a money equivalent. A natural idea is to assign a fair price to different alternatives, and then to use these fair prices to select the best alternative. Sometimes, interval uncertainty is present in such situations, which means that we do not know the exact amount of money that we will get for each possible decision, we only know lower and upper bounds on this amount. In this paper, we show how to assign a fair price under interval uncertainty. We also explain how to assign a fair price in the case of more general types of uncertainty such as p-boxes, twin intervals, fuzzy values, etc.

In other situations, the result of a decision is the decision maker’s own satisfaction. Then, a more adequate approach is to use utilities - a quantitative way of describing user’s preferences. In our paper, after a brief introduction describing what are utilities, how to evaluate them, and how to make decisions based on utilities, we explain how to make decisions in situations with user uncertainty - a realistic situation when a decision maker cannot always decide which alternative is better.