PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

The transportation distance for fuzzy descriptions of measurements

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Fuzzy nominal scales were introduced in order to propose a formalism to the representation of empirical quantities by fuzzy subsets of words. This scale proposes a similarity relation and an associated bounded distance that can be used to perform signal processing on fuzzy subsets of words. Due to the limits of this last distance, we studied distances associated to this formalism and proposed a new distance operator named transportation distance. This paper presents the results of these studies.
Rocznik
Strony
25--37
Opis fizyczny
Bibliogr. 13 poz., rys., tab., wykr.
Twórcy
autor
autor
autor
  • Universite de Savoie, Laboratoire d'Informatique, Systemes, Traitement de l'Information et de la Connaissance, Annecy, France, eric.benoit@univ-savoie.fr
Bibliografia
  • 1. Zadeh L. A.: Quantitative fuzzy semantics, Information Sciences, vol. 3, pp. 159-176, 1971.
  • 2. Finkelstein L.: Representation by symbol systems as an extension of the concept of measurement, Kybernetes, vol. 4, pp. 215-223, 1975.
  • 3. Benoit E., Foulloy L.: Towards fuzzy nominal scales, Measurement, ISSN 0263-2241, vol. 34, no. 1 (Fundamental of Measurement), pp. 49-55, 2003.
  • 4. Benoit E., Foulloy L., Mauris G.: Fuzzy approaches for measurement, Handbook of Measuring Systems Design, vol. 1, Eds. Peter Sydenham and Richard Thorn, John Wiley & Sons, pp. 60-67, 2005.
  • 5. Allevard T., Benoit E., Foulloy L.: Fuzzy nominal scale approach for signal processing, 10th IMEKO TC 7 Int. Symp., vol. 2, Saint-Petersburg, Russia, pp. 478-483, 2004.
  • 6. Allevard T., Benoit E., Foulloy L.: Dynamic gesture recognition using signal processing based on fuzzy nominal scales, Measurement, no. 38, pp. 303-312, 2005.
  • 7. Allevard T.: Représentation symbolique de la configuration de la main - application à la reconnaissance de signes et au contrôle d'un robot mobile, Phd Thesis, Université de Savoie, 2005. (in French)
  • 8. Foulloy L., Benoit E.: Building a class of fuzzy equivalence relations. Fuzzy Sets and Systems, no. 157, pp. 1417-1437, 2006.
  • 9. Bloch I.: On fuzzy distances and their use in image processing under imprecision, Pattern Recognition, vol. 32, pp. 1873-1895, 1999.
  • 10. Zwick R., Carlstein E., Budescu D. V.: Measures of similarity among fuzzy concepts: a comparative analysis, International Journal of Approximate reasoning, vol. 1, pp. 351-356, 1987.
  • 11. Rachev S. T., Rüschendorf L.: Mass transportation problems, Springer-Verlag, New-York, 1998.
  • 12. Allevard T, Benoit E., Foulloy L.: Hand posture recognition with the fuzzy glove, IPMU’04, pp. 2139-2146, 2004.
  • 13. Wagner A. R., Fischer J. M.: The string to string correction problem, Journal of the Association for Computing Machinery, vol. 21, no. 1, pp. 168-173, 1974.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0028-0003
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.