Cut properties of resemblance
Vladimir Janiš; Magdaléna Renčová; Branimir Šešelja; Andreja Tepavčević
Kybernetika (2010)
- Volume: 46, Issue: 4, page 600-608
- ISSN: 0023-5954
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topJaniš, Vladimir, et al. "Cut properties of resemblance." Kybernetika 46.4 (2010): 600-608. <http://eudml.org/doc/197153>.
@article{Janiš2010,
abstract = {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.},
author = {Janiš, Vladimir, Renčová, Magdaléna, Šešelja, Branimir, Tepavčević, Andreja},
journal = {Kybernetika},
keywords = {fuzzy sets; resemblance relation; cuts; fuzzy sets; resemblance relation; cuts},
language = {eng},
number = {4},
pages = {600-608},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Cut properties of resemblance},
url = {http://eudml.org/doc/197153},
volume = {46},
year = {2010},
}
TY - JOUR
AU - Janiš, Vladimir
AU - Renčová, Magdaléna
AU - Šešelja, Branimir
AU - Tepavčević, Andreja
TI - Cut properties of resemblance
JO - Kybernetika
PY - 2010
PB - Institute of Information Theory and Automation AS CR
VL - 46
IS - 4
SP - 600
EP - 608
AB - 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.
LA - eng
KW - fuzzy sets; resemblance relation; cuts; fuzzy sets; resemblance relation; cuts
UR - http://eudml.org/doc/197153
ER -
References
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