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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 255))

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Abstract

In this paper, a new possibilistic C-means (PCM) clustering algorithm is proposed based on particle swarm optimization (PSO) and simulated annealing (SA). Two optimizing algorithms automatically define the centers and number of clustering by different searching mechanisms in each sub-swarms and collaborative interaction among sub-swarms, which provides the optimal initialization for the new algorithm’s good clustering result within a bid to solve the problem that PCM algorithm is very sensitive to initialization and parameter. The new PCM has the strong ability in the global searching and has less sensitivity to initialization and less possibility of stagnation in local optimum. Furthermore, the PSO-SA defines the centers and numbers of clustering automatically. Its advantages lie in the fact that it can not only improve the clustering performance but also has better accuracy and robustness, avoiding the problem of coincident clusters.

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References

  1. Krishnapuram, R., Keller, J.: A possibilistic approach to clustering. IEEE Trans. FS 1(2), 98–110 (1993)

    Google Scholar 

  2. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms, pp. 95–107. Plenum Press, New York (1981)

    Book  MATH  Google Scholar 

  3. YouRui, H.: Intelligent Optimization Algorithm and Application, pp. 85–97. National Defence Industry Press, Beijing (2008). (in Chinese)

    Google Scholar 

  4. Vaz, A., Ismael, F., Pereira Ana, I.P.N et al.: Particle swarm and simulated annealing for multi-global optimization. WSEAS Trans. Inf. Sci. Appl. 2(5), 534–539 (2005)

    Google Scholar 

  5. Kathiravan, R., Ganguli, R.: Strength design of composite beam using gradient and particle swarm optimization. Compos. Struct. 81(4), 471–479 (2007)

    Article  Google Scholar 

  6. Zhang, J., Liu, S., Zhang, X.: Improved particle swarm algorithm. Comput. Eng. Des. 28(17), 4215–4216 (2007)

    Google Scholar 

  7. Gao, Y., Xie, S.: Particle swarm cooperative optimization based on the simulated annealing. Comput. Eng. Appl. 40(1), 47–50 (2004). (in Chinese)

    Google Scholar 

  8. Liang, J.J., Suganthan, P.N.: Dynamic multi-swarm particle swarm optimizer. In: Proceedings of IEEE International Swarm Intelligence Symposium, vol. 3(4), pp. 124–129 (2005)

    Google Scholar 

  9. Iwamatsu, M.: Locating all global minima using multi-species particle swarm optimizer the inertia weight and the constriction factor variants. In: Proceedings of 2006 IEEE Congress on Evolutionary Computation, pp. 816–822. Vancouver (2006)

    Google Scholar 

  10. Seo, J.H., Im, C.H., et al.: Multimodal function optimization based on particle swarm optimization. IEEE Trans. Magneties 2(4), 1095–1098 (2006)

    Article  Google Scholar 

  11. Timm, H., Borgelt, C., Doring, C., Kruse, R.: An extension to possibilistic fuzzy cluster analysis. Fuzzy Sets Syst. 147(1), 3–16 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  12. Gao, Y., Wang, X., Lu, X., Yin, Y.: The study of PCM clustering algorithm of PSO. Comput. Simul. 27(9), 177–180 (2010)

    Google Scholar 

  13. Zhang, J.S., Yeung, Y.W.: Improved possibilistic c-means clustering algorithms. IEEE Trans Fuzzy Syst. 12(2), 209–217 (2004)

    Article  Google Scholar 

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Acknowledgments

This research is partly supported by Research on Case-based Reasoning in Precision Spade Punch Planter Design Theory and Method (Project No. 51075282) from the National Natural Science Fund, China.

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Correspondence to Jing Zang .

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© 2014 Springer India

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Zang, J., Li, C. (2014). Possibilistic C-means Algorithm Based on Collaborative Optimization. In: Patnaik, S., Li, X. (eds) Proceedings of International Conference on Computer Science and Information Technology. Advances in Intelligent Systems and Computing, vol 255. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1759-6_67

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  • DOI: https://doi.org/10.1007/978-81-322-1759-6_67

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1758-9

  • Online ISBN: 978-81-322-1759-6

  • eBook Packages: EngineeringEngineering (R0)

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