@misc{Krawczak_Maciej_On_2014,
 author={Krawczak, Maciej and Szkatuła, Grażyna},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2014},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={This paper proposes the new measure of remoteness between sets of nominal values. Instead of considering distance between two sets, the measures of perturbation of one set by another are introduced. The consideration is based on set-theoretic operations and the proposed measure describes changes of the second set after adding the first set to it, or vice versa. The measure of sets' perturbation returns a value from (0, 1], and it must be emphasized that this measure is not symmetric in general. The difference between 1 and the sum of these two measures of perturbation of a pair of sets can be understood as Jaecard's extended similarity measure. In this paper several mathematical properties of the measure of sets' perturbation are studied, and interpretation of proximity is explained by the comparison of selected measures.},
 title={On Asymmetric Matching between Sets},
 type={Text},
 URL={http://www.rcin.org.pl/Content/109229/PDF/RB-2014-35.pdf},
 keywords={Jaccard coefficient, Sets’ perturbation, Perturbacja zbiorów, Tversky index, Symbolic data analysis, Indeks tverskego, Analiza danych symbolicznych, Sets' matching, Dopasowanie zbiorów},
}