On Perturbation Measure of Sets : Properties

• Autorzy: Krawczak M. , Szkatuła G.

Identyfikatory

DOI

10.14313/JAMRIS_4-2014/38

• Języki publikacji: EN

Abstrakty

EN

In this paper we describe a new measure of remoteness between sets described by nominal values. The introduced measures of perturbation of one set by another are considered instead of commonly used distance between two sets. The operations of the set theory are operated and the considered measures describe changes of the perturbed second set by adding the first one or vice versa. The values of the measure of sets’ perturbation are range between 0 and 1, and in general, are not symmetric – it means that the perturbation of one set by another is not the same as the perturbation of the second set by the first one.

Słowa kluczowe

EN

nominal-valued attribute; measure of perturbation; perturbation methodology

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2014
• Tom: Vol. 8, No. 4
• Strony: 59--62
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Krawczak M.

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, Warsaw, Poland, and Warsaw School of Information Technology, Newelska 6, Warsaw, Poland

autor

Szkatuła G.

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, Warsaw, Poland

Bibliografia

• [1] Jaccard P., Étude comparative de la distribution florale dans une portion des alpes et des jura, Bulletin del la Société Vaudoise des Sciences Naturelles, 37, 1901, 547–579. (in French)
• [2] Krawczak M., Szkatuła G., A new measure of groups perturbation. In: Proceedings of the 2013 Joint IFSA World Congress NAFIPS Annual Meeting, Edmonton, Canada, 2013, 1291–1296. DOI: http://dx.doi.org/10.1109/IFSA-NAFIPS.2013.6608588.
• [3] Krawczak M., Szkatuła G., On perturbation measure of clusters – application, ICAISC 2013, Lecture Notes in Artificial Intelligence, vol. 7895, Part II, 2013, Springer, Berlin, 176–183.
• [4] Krawczak M., Szkatuła G., An approach to dimensionality reduction in time series. Information Sciences, vol. 260, 2014, 15–36. DOI: http://dx.doi.org/10.1016/j.ins.2013.10.037.
• [5] Krawczak M., Szkatuła G., On asymmetric matching between sets, Information Sciences (under review process).
• [6] Tversky A., Features of similarity, Psychological Review, vol. 84, no. 4, 1977, 327–352. DOI: http://dx.doi.org/10.1037/h0025470.