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Brain Storm Optimization Algorithm Based on Formal Concept Analysis

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12689))

Abstract

The brain storm optimization (BSO) algorithm is an excellent swarm intelligence paradigm, inspired from the behaviors of the human process of brainstorming. The design of BSO is characterized by the clustering mechanism. However, this mechanism is inefficient to deal with complex large-scale optimization problems. In this paper, we propose a high-dimensional BSO algorithm based on formal concept analysis (FCA), called HBSO, for dealing with large-scale optimization problems. In HBSO, two new procedures are developed, i.e., relationship analysis of individuals and adaptively determine the number of clusters. Relationship analysis is used to judge the similarity of individuals in the population. The FCA is used to determine the size of k in the original clustering algorithm, in order to alleviate the evolution stagnation of clusters. Experiments are conducted on a set of the CEC2017 benchmark functions and the results verify the effectiveness and efficiency of HBSO on the benchmark problems.

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References

  1. Dorigo, M., Gambardella, L.M.: Ant colony system: a cooperative learning approach to the traveling salesman problem. IEEE Trans. Evol. Comput. 1(1), 53–56 (1997)

    Google Scholar 

  2. Gambardella, L.M., Dorigo, M.: An ant colony system hybridized with a new local search for the sequential ordering problem. INFORMS J. Comput. 12(3), 237–255 (2000)

    Google Scholar 

  3. Eberhart, Y.S.: Particle swarm optimization: developments, applications and resources. In: IEEE Congress on Evolutionary Computation, vol. 1, no. 1, pp. 81–86 (2001)

    Google Scholar 

  4. Shi, Y., Eberhart, R.C.: Empirical study of particle swarm optimization. IEEE Congress Evol. Comput. 3, 101–106 (1999)

    Google Scholar 

  5. Karaboga, D.: Artificial Bee colony algorithm. Scholarpedia 5(3), 6915 (2010)

    Google Scholar 

  6. Ma, L., Hu, K., Zhu, Y., Chen, H.: Cooperative artificial bee colony algorithm for multi-objective RFID network planning. J. Netw. Comput. Appl. 42, 143–162 (2014)

    Google Scholar 

  7. Ma, L., Huang, M., Yang, S., Wang, R., Wang, X.: An adaptive localized decision variable analysis approach to large-scale multi-objective and many-objective optimization. IEEE Trans. Cybern. (2021). https://doi.org/10.1109/TCYB.2020.3041212

  8. Thrun, M.C., Alfred, U.: Swarm intelligence for self-organized clustering. Artif. Intell. 290 (2021). https://doi.org/10.1016/j.artint.2020.103237

  9. Slowik, A., Kwasnicka, H.: Nature inspired methods and their industry applications—swarm intelligence algorithms. IEEE Trans. Industr. Inf. 14(3), 1004–1015 (2018)

    Article  Google Scholar 

  10. Ma, L., Cheng, S., Shi, Y.: Enhancing learning efficiency of brain storm optimization via orthogonal learning design. IEEE Trans. Syst. Man Cybern.: Syst. (2020). https://doi.org/10.1109/TSMC.2020.2963943

  11. Cheng, J., Chen, J., Guo, Y., Cheng, S.: Adaptive CCR-ELM with variable length brain storm optimization algorithm for class-imbalanced learning. Nat. Comput. 20, 11–22 (2021)

    Article  MathSciNet  Google Scholar 

  12. Shi, Y.: Brain storm optimization algorithm. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds.) ICSI 2011. LNCS, vol. 6728, pp. 303–309. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21515-5_36

    Chapter  Google Scholar 

  13. Xue, J., Wu, Y., Shi, Y., Cheng, S.: Brain storm optimization algorithm for multi-objective optimization problems. In: Tan, Y., Shi, Y., Ji, Z. (eds.) ICSI 2012. LNCS, vol. 7331, pp. 513–519. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-30976-2_62

    Chapter  Google Scholar 

  14. Shi, Y.: Brain storm optimization algorithm in objective space. In: IEEE Congress on Evolutionary Computation (CEC), Sendai, Japan, pp. 1227–1234 (2015)

    Google Scholar 

  15. Zhan, Z., Zhang, J., Shi, Y., Liu, H.: A modified brain storm optimization. In: IEEE Congress on Evolutionary Computation, pp. 1–8 (2012)

    Google Scholar 

  16. Duan, H., Li, S., Shi, Y.: Predator–prey brain storm optimization for DC brushless motor. IEEE Trans. Magn. 49(10), 5336–5340 (2013)

    Google Scholar 

  17. Sun, C., Duan, H., Shi, Y.: Optimal satellite formation reconfiguration based on closed-loop brain storm optimization. IEEE Comput. Intell. Mag. 8(4), 39–51 (2013)

    Google Scholar 

  18. Duan, H., Li, C.: Quantum-behaved brain storm optimization approach to solving Loney’s solenoid problem. IEEE Trans. Magn. 51(1), 1–7 (2015)

    Article  Google Scholar 

  19. Wang, R., Ma, L., Zhang, T.: Brain storm optimization algorithm based on improved clustering approach using orthogonal experimental design. In: IEEE Congress on Evolutionary Computation, pp. 262–270 (2019)

    Google Scholar 

  20. Arsuaga-Ríos, M., Vega-Rodríguez, M.A.: Cost optimization based on brain storming for grid scheduling. In: 2014 Fourth International Conference on Innovative Computing Technology, pp. 31–36 (2014)

    Google Scholar 

  21. Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, Heidelberg (1999). https://doi.org/10.1007/978-3-642-59830-2

  22. Du, N., Wu, B., Pei, X.: Community detection in large-scale social networks. In: The 9th WebKDD and 1st SNA-KDD 2007 Workshop on Web Mining and Social Network Analysis, pp. 16–25 (2007)

    Google Scholar 

  23. Tang, P., Hui, S., Fong, A.: A lattice-based approach for chemical structural retrieval. Eng. Appl. Artif. Intell. 39, 215–222 (2015)

    Google Scholar 

  24. Li, K., Du, Y., Xiang, D., Chen, H., Liao, Z.: A method for building concept lattice based on matrix operation. In: Huang, D.-S., Heutte, L., Loog, M. (eds.) ICIC 2007. LNCS (LNAI), vol. 4682, pp. 350–359. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74205-0_39

    Chapter  Google Scholar 

  25. Hao, F., Yau, S.S., Min, G., Yang, L.T.: Detecting K-balanced trusted cliques in signed social networks. IEEE Internet Comput. 18(2), 24–31 (2014)

    Article  Google Scholar 

  26. Rui, M.: An algorithm for knowledge acquisition of uncertain decision-making based on rough sets theory. J. Bohai Univ. (2017). http://en.cnki.com.cn/Article_en/CJFDTotal-JZSF201704014.htm

  27. Hao, F., Min, G., Pei, Z., Park, D.S., Yang, L.T.: K-clique community detection in social networks based on formal concept analysis. IEEE Syst. J. 11(1), 250–259 (2017)

    Article  Google Scholar 

  28. Kazimipour, B., Li, X., Qin, K.: A review of population initialization techniques for evolutionary algorithms. In: IEEE Congress on Evolutionary Computation, Beijing, China, pp. 2585–2592 (2014)

    Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (61773103), the Intelligent Manufacturing Standardization and Test Verification Project “Time Sensitive Network (TSN) and Object Linking and Embedding Unified Architecture for Industrial Control OPC UA Fusion Key Technology Standard Research and Test Verification” project, Ministry of Industry and Information Technology of the People’s Republic of China, and National key research and development program of China, No. 2018YFB1700103.

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Correspondence to Lianbo Ma .

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Chang, F., Ma, L., Song, Y., Dong, A. (2021). Brain Storm Optimization Algorithm Based on Formal Concept Analysis. In: Tan, Y., Shi, Y. (eds) Advances in Swarm Intelligence. ICSI 2021. Lecture Notes in Computer Science(), vol 12689. Springer, Cham. https://doi.org/10.1007/978-3-030-78743-1_43

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  • DOI: https://doi.org/10.1007/978-3-030-78743-1_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-78742-4

  • Online ISBN: 978-3-030-78743-1

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