Geodesic
Cut properties of resemblance
Kybernetika, Tome 46 (2010) no. 4, pp. 600-608 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 04A72
Keywords: fuzzy sets; resemblance relation; cuts 
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     title = {Cut properties of resemblance},
     journal = {Kybernetika},
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%A Tepavčević, Andreja
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Janiš, Vladimir; Renčová, Magdaléna; Šešelja, Branimir; Tepavčević, Andreja. Cut properties of resemblance. Kybernetika, Tome 46 (2010) no. 4, pp. 600-608. http://geodesic.mathdoc.fr/item/KYB_2010_46_4_a1/

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