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Performance indicators in multiobjective optimization

Charles Audet(Charles.Audet***at***gerad.ca)
Jean Bigeon(jean.bigeon***at***grenoble-inp.fr)
Dominique Cartier(dcartier***at***cmaisonneuve.qc.ca)
Sebastien Le Digabel(Sebastien.Le.Digabel***at***gerad.ca)
Ludovic Salomon(ludovic.salomon***at***gerad.ca)

Abstract: In the recent years, the development of new algorithms for multiobjective optimization has considerably grown. A large number of performance indicators has been introduced to measure the quality of Pareto fronts approximations produced by these algorithms. In this work, we propose a review of a total of 57 performance indicators partitioned into four groups according to their properties: cardinality, convergence, distribution and spread. Applications of these indicators are presented as well.

Keywords: multiobjective optimization, quality indicators, performance indicators

Category 1: Other Topics (Multi-Criteria Optimization )

Category 2: Convex and Nonsmooth Optimization (Nonsmooth Optimization )


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Entry Submitted: 10/25/2018
Entry Accepted: 10/25/2018
Entry Last Modified: 10/25/2018

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