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If you've NEVER registered a DOI in your Lattes, check our tutorial!Este artigo apresenta um estudo sobre o problema de fluxo de custo mínimo em Grafos com capacidades e custos Fuzzy. Descreve alguns dos fundamentos referentes à Teoria de Grafos e a Teoria de Conjuntos Fuzzy, necessários para a compreensão dos métodos abordados. Por fim, propõe dois algoritmos compostos pelo meta-heurístico Harmony Search em conjunto com um esquema de representação de grafos, chamado de Representação Probabilística baseada em Árvore (PTbR), a fim de verificar a aplicabilidade deste algoritmo no problema de fluxo de custo mínimo.
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