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Associations Among Information Granules and Their Optimization in Granulation-Degranulation Mechanism of Granular Computing

  • Pedrycz, Witold (Department of Electrical & Computer Engineering, University of Alberta, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Systems Research Institute, Polish Academy of Sciences)
  • Received : 2013.12.04
  • Accepted : 2013.12.24
  • Published : 2013.12.25

Abstract

Knowledge representation realized by information granules is one of the essential facets of granular computing and an area of intensive research. Fuzzy clustering and clustering are general vehicles to realize formation of information granules. Granulation - degranulation paradigm is one of the schemes determining and quantifying functionality and knowledge representation capabilities of information granules. In this study, we augment this paradigm by forming and optimizing a collection of associations among original and transformed information granules. We discuss several transformation schemes and analyze their properties. A series of numeric experiments is provided using which we quantify the improvement of the degranulation mechanisms offered by the optimized transformation of information granules.

Keywords

References

  1. W. Pedrycz, Granular Computing: Analysis and Design of Intelligent Systems, Boca Raton, FL: Taylor & Francis, 2013.
  2. W. Pedrycz, "From fuzzy sets to shadowed sets: interpretation and computing," International Journal of Intelligent Systems, vol. 24, no. 1, pp. 48-61, Jan. 2009. http://dx.doi.org/10.1002/int.20323
  3. W. Pedrycz, Knowledge-Based Clustering: From Data to Information Granules, Hoboken, NJ: Wiley, 2005.
  4. C. Hwang and F. C. H. Rhee, "Uncertain fuzzy clustering: interval type-2 fuzzy approach to c-means," IEEE Transactions on Fuzzy Systems, vol. 15, no. 1, pp. 107-120, Feb. 2007. http://dx.doi.org/10.1109/TFUZZ.2006.889763
  5. S. J. Kim and I. Y. Seo, "A clustering approach to wind power prediction based on support vector regression," International Journal of Fuzzy Logic and Intelligent Systems, vol. 12, no. 2, pp. 108-112, Jun. 2012. http://dx.doi.org/10.5391/IJFIS.2012.12.2.108
  6. X. Y. Ye and M. M. Han, "A systematic approach to improve fuzzy C-mean method based on genetic algorithm," International Journal of Fuzzy Logic and Intelligent Systems, vol. 13, no. 3, pp. 178-185, Sep. 2013. http://dx.doi.org/10.5391/IJFIS.2013.13.3.178
  7. W. Pedrycz, "Why triangular membership functions?," Fuzzy Sets and Systems, vol. 64, no. 1, pp. 21-30, May 1994. http://dx.doi.org/10.1016/0165-0114(94)90003-5
  8. J. C. Bezdek, Pattern Recognition With Fuzzy Objective Function Algorithms, New York, NY: Plenum Press, 1981.
  9. W. Pedrycz and J. V. de Oliveira, "A development of fuzzy encoding and decoding through fuzzy clustering," IEEE Transactions on Instrumentation and Measurement, vol. 57, no. 4, pp. 829-837, Apr. 2008. http://dx.doi.org/10.1109/TIM.2007.913809
  10. A. Gersho and R. M. Gray, Vector Quantization and Signal Compression, Boston, MA: Kluwer Academic Publishers, 1992.
  11. R. M. Gray, "Vector quantization," IEEE ASSP Magazine, vol. 1, no. 2, pp. 4-29, Apr. 1984. http://dx.doi.org/10.1109/MASSP.1984.1162229
  12. A. Lendasse, D. Francois, V. Wertz, and M. Verleysen, "Vector quantization: a weighted version for time-series forecasting," Future Generation Computer Systems, vol. 21, no. 7, pp. 1056-1067, Jul. 2005. http://dx.doi.org/10.1016/j.future.2004.03.006
  13. Y. Linde, A. Buzo, and R. M. Gray, "An algorithm for vector quantizer design," IEEE Transactions on Communications, vol. 28, no. 1, pp. 84-95, Jan. 1980. http://dx.doi.org/10.1109/TCOM.1980.1094577
  14. E. Yair, K. Zeger, and A. Gersho, "Competitive learning and soft competition for vector quantizer design," IEEE Transactions on Signal Processing, vol. 40, no. 2, pp. 294-309, Feb. 1992. http://dx.doi.org/10.1109/78.124940
  15. S. Yuhui and R. C. Eberhart, "Empirical study of particle swarm optimization," in Proceedings of the 1999 Congress on Evolutionary Computation, Washington, DC, July 6-9, 1999, pp. 1945-1950. http://dx.doi.org/10.1109/CEC.1999.785511