Preference Incorporation into Many-Objective Optimization: An Outranking-based Ant Colony Algorithm

• URL: http://arxiv.org/abs/2107.07121v1
• Date: Thu, 15 Jul 2021 05:01:21 GMT
• Title: Preference Incorporation into Many-Objective Optimization: An Outranking-based Ant Colony Algorithm
• Authors: Gilberto Rivera, Carlos A. Coello Coello, Laura Cruz-Reyes, Eduardo R. Fernandez, Claudia Gomez-Santillan, and Nelson Rangel-Valdez
• Abstract summary: We develop a novel multiobjective Ant Colony Optimization (ACO) with interval outranking to approach problems with many objective functions. The introduced Interval Outranking-based ACO, IO-ACO, is the first ant-colony that embeds an outranking model to bear vagueness and ill-definition of DM preferences.
• Score: 0.08795040582681389
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we enriched Ant Colony Optimization (ACO) with interval outranking to develop a novel multiobjective ACO optimizer to approach problems with many objective functions. This proposal is suitable if the preferences of the Decision Maker (DM) can be modeled through outranking relations. The introduced algorithm (named Interval Outranking-based ACO, IO-ACO) is the first ant-colony optimizer that embeds an outranking model to bear vagueness and ill-definition of DM preferences. This capacity is the most differentiating feature of IO-ACO because this issue is highly relevant in practice. IO-ACO biases the search towards the Region of Interest (RoI), the privileged zone of the Pareto frontier containing the solutions that better match the DM preferences. Two widely studied benchmarks were utilized to measure the efficiency of IO-ACO, i.e., the DTLZ and WFG test suites. Accordingly, IO-ACO was compared with two competitive many-objective optimizers: The Indicator-based Many-Objective ACO and the Multiobjective Evolutionary Algorithm Based on Decomposition. The numerical results show that IO-ACO approximates the Region of Interest (RoI) better than the leading metaheuristics based on approximating the Pareto frontier alone.

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