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Please use this identifier to cite or link to this item: http://hdl.handle.net/10651/40573

Title: Adding Feasibility Constraints to a Ranking Rule under a Monotonicity Constraint
Author(s): Pérez Fernández, Raúl
Rademaker, Michael
Alonso Velázquez, Pedro
Díaz Rodríguez, Susana Irene
Baets, Bernard de
Issue date: 2015
Abstract: We propose a new point of view in the long-standing problem where several voters have expressed a linear order relation (or ranking) over a set of candidates. For a ranking a > b > c to represent a group’s opinion, it would be logical that the strength with which a > c is supported should not be less than the strength with which either a > b or b > c is supported. This intuitive property can be considered a monotonicity constraint, and has been addressed before. We extend previous approaches in the following way: as the voters are expressing linear orders, we can take the number of candidates between two candidates to be a measure of the degree to which one candidate is preferred to the other. In this way, intensity of support is both counted as the number of voters who indicate a > c is true, as well as the distance between a and c in these voters’ rankings. The resulting distributions serve as input for a natural ranking rule that is based on stochastic monotonicity and stochastic dominance. Adapting the previous methodology turns out to be non-trivial once we add some natural feasibility constraints
Description: IFSA-EUSFLAT'2015: 16th World Congress of the International Fuzzy Systems Association and 9th Conference of the European Society for Fuzzy Logic and Technlogy, July 2015, Gijón, Spain
URI: http://hdl.handle.net/10651/40573
Sponsored: This work has been partially supported by Campus of International Excellence of University of Oviedo
Appears in Collections:Estadística e Investigación Operativa
Ponencias, Discursos y Conferencias

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