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Comparing Fuzzy Data Sets by Means of Graph Matching Technique

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Abstract

In several applications it is necessary to compare two or more data sets. In this paper we describe a new technique to compare two data partitions of two different data sets with a quite similar structure as frequently occurs in defect detection. The comparison is obtained dividing each data set in partitions by means of a supervised fuzzy clustering algorithm and associating an undirected complete weighted graph structure to these partitions. Then, a graph matching operation returns an estimation of the level of similarity between the data sets.

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References

  1. Bodnarova, A., Bennamoun, M., Latham, S.: Optimal Gabor Filter for Textile Flaw Detection. Elsevier, Pattern recognition, no 35, 2002, pp. 2973–2991.

    Article  MATH  Google Scholar 

  2. Aksoy, S., Haralick, R. M.: Graph Theoretic Clustering for Image Grouping and Retrieval. IEEE, Conference on Computer Vision and Pattern Recognition, June 1999, pp. 63–68.

    Google Scholar 

  3. Sahasrabudhe, N., West, J.E., Machiraju, R., Janus, M: Structured Spatial Domain Image and Data Comparison Metrics. Visualization’ 99, Proceedings, October 1999 pp. 97–105.

    Google Scholar 

  4. Pal, N. R., Bezdek, J. C.: On Cluster Validity for the Fuzzy c-Means Model. IEEE, Transaction on Fuzzy Systems, Vol. 3, no3, August 1995, pp. 370–379.

    Article  Google Scholar 

  5. Wang, J., Rau, D.: VQ-Agglomeration: a Novel Approach to Clustering. IEE proceedings-Visual Image Signal Processing. Vol 148, no 1, February 2001, pp. 36–44.

    Article  Google Scholar 

  6. Wu, Z., Leahy, R.: An optimal Graph Theoretic Approach to Data Clustering: Theory and Its Application to image segmentation. IEEE, Transaction on Pattern Analysis and Machine Intelligence, Vol 15, no 11, November 1993, pp. 1101–1113.

    Article  Google Scholar 

  7. Hoppner, F., Klawonn, F., Kruse, R., Runkler, T.: Fuzzy Cluster Analysis. John Wiley & Sons, LTD, Chichester, New York, Weinheim, Brisbane, Singapore, Toronto, 2000.

    Google Scholar 

  8. Gath, V. A., Geva, B.: Unsupervised Optimal Fuzzy Clustering. IEEE, Transaction on Pattern Analysis and Machine Intelligence, Vol 11, no 7, July 1989, pp. 773–781.

    Article  Google Scholar 

  9. Babuska, R.: Fuzzy and Neural Control. Disc Course Lecture Notes, October 2001.

    Google Scholar 

  10. Umeyama, S.: An Eigendecomposition Approach to Weighted Graph Matching Problems. IEEE, Transaction on Pattern Analysis and Machine Intelligence, Vol 10, no 5, September 1988, pp. 695–703.

    Article  MATH  Google Scholar 

  11. Almohamad, H. A., Dufuaa, S. O.: A Linear Programming Approach for the Weighted Graph Matching Problem. IEEE, Transaction on Pattern Analysis and Machine Intelligence, Vol 15, no 5, May 1993, pp. 522–525.

    Article  Google Scholar 

  12. Papadimitiou, C. H., Steiglitz, K.: Combinatorial Optimization: Algorithm and Complexity. Englewood Cliffs, NJ: Prentice-Hall 1982.

    Google Scholar 

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© 2003 Springer-Verlag Berlin Heidelberg

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Acciani, G., Fornarelli, G., Liturri, L. (2003). Comparing Fuzzy Data Sets by Means of Graph Matching Technique. In: Kaynak, O., Alpaydin, E., Oja, E., Xu, L. (eds) Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003. ICANN ICONIP 2003 2003. Lecture Notes in Computer Science, vol 2714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44989-2_44

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  • DOI: https://doi.org/10.1007/3-540-44989-2_44

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40408-8

  • Online ISBN: 978-3-540-44989-8

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