0333084 20240111140729.820091210235959.9 000273188500037 10.1016/j.na.2009.08.033 12 s. www cav_un_epca*02573310362-546X721488-1499Elsevier t-norm Migrative property Homogeneity property Overlap function cav_un_auth*0248954 Bustince H. ES cav_un_auth*0042411 Fernández J. ES cav_un_auth*0101163 Mesiar Radko UTIA-B Department of Econometrics Ekonometrie Department of Econometrics E E Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0248955 Montero J. ES cav_un_auth*0255836 Orduna R. ES pdf http://library.utia.cas.cz/separaty/2009/E/mesiar-overlap functions.pdf GA402/08/0618 GA ČR cav_un_auth*0241569 CEZ:AV0Z10750506 In this paper we address a key issue in scenario classification, where assifying concepts show a natural overlapping. In fact, overlapping needs to be evaluated whenever classes are not crisp, in order to be able to check if a certain classification structure fits reality and still can be useful for our declared decision making purposes. In this paper we address an object recognition problem, where the best classification with respect to background is the one with less overlapping between the class object and the class background. In particular, in this paper we present the basic properties that must be fulfilled by overlap functions, associated to the degree of overlapping between two classes. Článek se věnuje klasifikaci v kontextu s indexem překřývání. Zavádíme axiomatiku funkcí překrývání, uvádíme několik tříd takovýchto funkcí a zkoumame jejich vlastnosti. 2010 BA http://hdl.handle.net/11104/0178159 MATHEMATICS|MATHEMATICSAPPLIED 1.409 0.348 5.6 0.03575 0.565 9265 764 62 1.286 21.94 1.28 Q1 41.205 84.731 Q3 Q1 2010 000273188500037 WOS pdf cav_un_epca*0257331 Nonlinear Analysis: Theory, Methods & Applications 0362-546X 1873-5215 Roč. 72 3-4 2010 1488 1499 Elsevier