Geodesic
Cut properties of resemblance
Kybernetika, Tome 46 (2010) no. 4, pp. 600-608.

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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.
Classification : 04A72
Keywords: fuzzy sets; resemblance relation; cuts 
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     author = {Jani\v{s}, Vladimir and Ren\v{c}ov\'a, Magdal\'ena and \v{S}e\v{s}elja, Branimir and Tepav\v{c}evi\'c, Andreja},
     title = {Cut properties of resemblance},
     journal = {Kybernetika},
     pages = {600--608},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2010},
     mrnumber = {2722090},
     zbl = {1211.03073},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_4_a1/}
}
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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/