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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433


DE-LOS-COBOS-SILVA, Sergio G.. SC - system of convergence: theory and foundations. Rev. Mat [online]. 2015, vol.22, n.2, pp.341-367. ISSN 1409-2433.

In this paper a novel system of convergence (SC) is presented as well as its fundamentals and computing experience. An implementation using a novel mono-objetive particle swarm optimization (PSO) algorithm with three phases (PSO-3P): stabilization, generation with broad-ranging exploration and generation with in-depth exploration, is presented and tested in a diverse benchmark problems. Evidence shows that the three-phase PSO algoritm along with the SC criterion (SC-PSO-3P)can converge to the global optimum in several difficult test functions for multiobjective optimization problems, constrained optimization problems and unconstrained optimization problems with 2 until 120,000 variables.

Keywords : particle swarm optimization; unconstrained optimization; constrained optimization; multiobjective optimization; fuzzy numbers.

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