Aggregating preference rankings using an optimistic-pessimistic approach: Closed-form expressions

- A model proposed by Khodabakhshi and Aryavash for ranking alternatives is analyzed.
- Closed-form expressions for the scores of alternatives are given.
- These expressions allow us to know the score obtained by each alternative without solving the model.
- The expressions also allow us to carry out a deeper analysis of some features of the model.
- Some suggestions are made to improve model performance.

There exist in the literature several models to tackle the problem of aggregating preferences rankings where each alternative is evaluated with the most favorable scoring vector for it (which can be considered as an optimistic approach). Recently, Khodabakhshi and Aryavash (2015) have suggested a new model where both the optimistic and the pessimistic approaches are taken into account. In this paper we provide closed-form expressions for the scores of alternatives when the model proposed by these authors is used. The expressions obtained allow us to analyze the model and suggest some small modifications.