A special issue on multi-criteria decision aiding
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A special issue on multi-criteria decision aiding Matteo Brunelli1 · Michele Fedrizzi1 · Salvatore Greco2 · José Rui Figueira3 · Roman Słowinski ´ 4 / Accepted: 4 November 2020 © Associazione per la Matematica Applicata alle Scienze Economiche e Sociali (AMASES) 2020
It is often the case that, in complex contexts (and economics and finance are no exceptions), decisions must be analyzed and then made by carefully considering the alternatives with respect to several points of view. In this perspective, multi-criteria decision aiding (MCDA) supplies a set of concepts, theories, methodologies, and techniques to handle systematically these types of decisions. MCDA has been applied successfully in countless real-life problems in different domains, including economics and finance. The MCDA EURO Working Group (MCDA-EWG), in its 45 years of history characterized by two meetings each year, has been an important forum for the proposal and discussion of methodological contributions and real life applications permitting the development, of an original way of thinking in the theory and practice of MCDA. Within this community, the idea of this special issue found fertile ground and represents a follow up of the 89th meeting held in Trento, Italy. We are now happy to present six papers on methodological developments and real-world applications in the field of MCDA. Anzilli and Giove (2020) present an application of the Choquet integral, a wellknown aggregation function permitting to represent interaction between criteria on the basis of an underlying normalized monotone measure, to a multi-criteria problem stemming from health care. In particular, the Choquet integral is used to relate the risk of heart diseases to the patient’s scores with respect to three attributes, taking also into account their interdependencies. The authors also offer insights into the perspective of insurance policies. The Choquet integral is also the focus of the paper by Bortot et al. (2020). This time the Choquet integral is coupled with De Groot’s model of consensual dynamic and a number of theoretical results and correspondences are established by the authors. In
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Matteo Brunelli [email protected]
1
Department of Industrial Engineering, University of Trento, Trento, Italy
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Department of Economics and Business, University of Catania, Catania, Italy
3
CEG-IST, Instituto Superior Técnico, Universidade de Lisboa, Lisbon, Portugal
4
Institute of Computing Science, Pozna´n University of Technology, Poznan, Poland
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addition, the analysis of the results help shed light on the relation between Shapley and SuperShapley indices. Brunelli and Cavallo (2020) study a number of rationality conditions for pairwise preference judgments and develop optimization problems to find the closest preferences satisfying such rationality conditions. They propose to use the distance as an estimation of the degree of violation of the rationality condition. On their way to studying these optimization problems, they provide a full set of
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