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Overlap functions

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    0333084 - ÚTIA 2010 RIV NL eng J - Journal Article
    Bustince, H. - Fernández, J. - Mesiar, Radko - Montero, J. - Orduna, R.
    Overlap functions.
    [Překrývající se funkce.]
    Nonlinear Analysis: Theory, Methods & Applications. Roč. 72, 3-4 (2010), s. 1488-1499. ISSN 0362-546X
    R&D Projects: GA ČR GA402/08/0618
    Institutional research plan: CEZ:AV0Z10750506
    Keywords : t-norm * Migrative property * Homogeneity property * Overlap function
    Subject RIV: BA - General Mathematics
    Impact factor: 1.279, year: 2010 functions.pdf

    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.
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