© Springer Nature Singapore Pte Ltd. 2019. It is obvious in the analytic hierarchy process that criteria weights heavily affect the final global weights of alternatives. However, it is not always important for decision-makers to weigh criteria priorities in advance if they are mainly interested in whom they would like to choose. We propose a method that visualizes the relationship between criteria priorities and the most favorable alternative to help decision-makers with reaching their decision. This method has two features: one, the decision-makers do not need to provide criteria priorities, and two, the alternative weights with respect to each criterion are measured not by pairwise comparison but by using a ternary diagram. This makes decision-making easier to understand visually and eliminates having to deal with C.I. values.