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A Novel Many-Objective Optimization Algorithm Based on the Hybrid Angle-Encouragement Decomposition

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10956))

Abstract

For many-objective optimization problems (MaOPs), the problem of balancing the convergence and the diversity during the search process is often encountered but very challenging due to its vast range of searching objective space. To solve the above problem, we propose a novel many-objective evolutionary algorithm based on the hybrid angle-encouragement decomposition (MOEA/AD-EBI). The proposed MOEA/AD-EBI combines two types of decomposition approaches, i.e., the angle-based decomposition and the encouragement-based boundary intersection decomposition. By coordinating the above two decomposition approaches, MOEA/AD-EBI is expected to effectively achieve a good balance between the convergence and the diversity when solving various kinds of MaOPs. Extensive experiments on some well-known benchmark problems validate the superiority of MOEA/AD-EBI over some state-of-the-art many-objective evolutionary algorithms.

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References

  1. Hughes, E.: Evolutionary many-objective optimization: many once or one many? In: Proceedings of the 2005 IEEE Congress on Evolutionary Computation, Edinburgh, UK, pp. 222–227 (2005)

    Google Scholar 

  2. Huband, S., Barone, L., While, L., Hingston, P.: A scalable multi-objective test problem toolkit. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 280–295. Springer, Heidelberg (2005). https://doi.org/10.1007/978-3-540-31880-4_20

    Chapter  MATH  Google Scholar 

  3. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable test problems for evolutionary multi-objective optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds.) Evolutionary Multiobjective Optimization. AI&KP, pp. 105–145. Springer, London (2005). https://doi.org/10.1007/1-84628-137-7_6

    Chapter  MATH  Google Scholar 

  4. Deb, K., Agrawal, R.B.: Simulated binary crossover for continuous search space. Complex Syst. 9, 115–148 (1995)

    MathSciNet  MATH  Google Scholar 

  5. Li, B., Tang, K., Li, J., Yao, X.: Stochastic ranking algorithm for many-objective optimization based on multiple indicators. IEEE Trans. Evol. Comput. 20(6), 924–938 (2016)

    Article  Google Scholar 

  6. Deb, K., Jain, H.: An evolutionary many-objective optimization algorithm using reference-point based non-dominated sorting approach, part I: solving problems with box constraints. IEEE Trans. Evol. Comput. 18(4), 577–601 (2014)

    Article  Google Scholar 

  7. Li, K., Deb, K., Zhang, Q.F., Kwong, S.: An evolutionary many-objective optimization algorithm based on dominance and decomposition. IEEE Trans. Evol. Comput. 19(5), 694–716 (2015)

    Article  Google Scholar 

  8. Wang, H., Jiao, L., Yao, X.: Two_Arch2: an improved two-archive algorithm for many-objective optimization. IEEE Trans. Evol. Comput. 19(4), 524–541 (2015)

    Article  Google Scholar 

  9. Xiang, Y., Zhou, Y.R., Li, M.Q.: A vector angle-based evolutionary algorithm for unconstrained many-objective optimization. IEEE Trans. Evol. Comput. 21(1), 131–152 (2017)

    Article  Google Scholar 

  10. He, Z., Yen, G.: Many-objective evolutionary algorithm: object space reduction and diversity improvement. IEEE Trans. Evol. Comput. 20(1), 145–160 (2016)

    Article  Google Scholar 

  11. Tian, Y., Zhang, X., Jin, Y.: A knee point driven evolutionary algorithm for many-objective optimization. IEEE Trans. Evol. Comput. 19(6), 761–776 (2015)

    Article  Google Scholar 

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Correspondence to Jia Wang .

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Su, Y., Wang, J., Ma, L., Wang, X., Lin, Q., Chen, J. (2018). A Novel Many-Objective Optimization Algorithm Based on the Hybrid Angle-Encouragement Decomposition. In: Huang, DS., Gromiha, M., Han, K., Hussain, A. (eds) Intelligent Computing Methodologies. ICIC 2018. Lecture Notes in Computer Science(), vol 10956. Springer, Cham. https://doi.org/10.1007/978-3-319-95957-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-95957-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95956-6

  • Online ISBN: 978-3-319-95957-3

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