Cut properties of resemblance

Janiš, Vladimír, 1963-

Cut properties of resemblance = Vlastnosti hladín podobnosti / Vladimír Janiš, Magdaléna Renčová, Branimir Šešelja, Andreja Tepavčević. -- The resemblance relation is used to reflect some real life situations for which a fuzzy equivalence is not suitable. We study the properties of cuts for such relations. In the case of a resemblance on a real line E we show that it determines a special family of crisp functions closely connected to its cut relations. Conversely, we present conditions which should be satisfied by a collection of real functions in E in order that this collection determines a resemblance relation

In Kybernetika. -- Praha : Akademie věd České republiky, 2010. -- ISSN 0023-5954. -- ISSN 1805-949X. -- Roč. 46, č. 4 (2010), pp. 600-608