JACIII Vol.15 No.3 pp. 299-303
doi: 10.20965/jaciii.2011.p0299


Compound Distance Function for Similarity Measurement Between Fuzzy Sets

László Kovács

Department of Information Technology, University of Miskolc, H-3515 Miskolc-Egyetemváros, Hungary

December 21, 2010
March 29, 2011
May 20, 2011
distance function, similarity of fuzzy sets, Hausdorff metric, Hamilton metric

Distance is usually used to measure the similarity of different objects. The distance function has a key role in clustering, pattern recognition, in information retrieval. The compound real valued distance function on fuzzy sets we propose considers both key aspects of fuzzy sets – membership function and support set.

Cite this article as:
László Kovács, “Compound Distance Function for Similarity Measurement Between Fuzzy Sets,” J. Adv. Comput. Intell. Intell. Inform., Vol.15, No.3, pp. 299-303, 2011.
Data files:
  1. [1] L. A. Zadeh, “Fuzzy Sets,” Information and Control, Vol.8, pp. 338-353, 1965.
  2. [2] V. G. Adelson and E. Landis, “An algorithm for the organisation of information,” Doklady Akademii Nauk, SSR, pp. 146-263, 1962.
  3. [3] P.-N. Yianilos, “Data structures and algorithms for nearest neighbor search in general metric spaces,” Proc. of SODA, pp. 311-321, 1993.
  4. [4] A. Anderson, “General Balanded Tree,” J. of Algorithms, 30, pp. 1-18, 1999.
  5. [5] Z. C. Johanyák, “Fuzzy Rule Interpolation based on Subsethood Values,” Proc. of 2010 IEEE Int. Conf. on Systems Man and Cybernetics, pp. 2387-2393, 2010.
  6. [6] L. T. Kóczy and K. Hirota, “Approximate reasoning by linear rule interpolation and general approximation,” Int. J. of Approximative Reasoning, pp. 197-225, 1993.
  7. [7] P. Baranyi, L. T. Kóczy, and T. D. Gedeon, “A Generalized Concept for Fuzzy Rule Interpolation,” IEEE Trans. on Fuzzy Systems, Vol.12, No.6, pp. 820-837, 2004.
  8. [8] D. Huttenlocher, G. Klanderman, A. Gregory, and W. Rucklidge, “Comparing Images Using the Hausdorff Distance,” IEEE Trans. on Pattern Analysis and Machine Intelligence, pp. 850-863, 1993.
  9. [9] B. Huffaker, M. Fomenkov, D. Plummer, and D. Moore, “Distance Metrics in the Internet,” IEEE Int. Telecommunications Symposium, pp. 200-212, 2002.
  10. [10] D. Dubois and H. Prade, “Operations on fuzzy numbers,” Int. J. of Systems Science, Vol.9, No.6, pp. 613-626, 1978.
  11. [11] B. Sridevi and R. Nadarajan, “Fuzzy similarity Measure for Generalized Fuzzy Members,” Int. J. Open Problems Compt.Math., Vol.2, No.2, pp. 240-254, June 2009.

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Last updated on Mar. 05, 2021