An additive decomposition of fuzzy numbers
Kybernetika (2003)
- Volume: 39, Issue: 3, page [289]-294
- ISSN: 0023-5954
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topHong, Dug Hun. "An additive decomposition of fuzzy numbers." Kybernetika 39.3 (2003): [289]-294. <http://eudml.org/doc/33642>.
@article{Hong2003,
abstract = {Hong and Do[4] improved Mareš[7] result about additive decomposition of fuzzy quantities concerning an equivalence relation. But there still exists an open question which is the limitation to fuzzy quantities on R (the set of real numbers) with bounded supports in the presented theory. In this paper we restrict ourselves to fuzzy numbers, which are fuzzy quantities of the real line R with convex, normalized and upper semicontinuous membership function and prove this open question.},
author = {Hong, Dug Hun},
journal = {Kybernetika},
keywords = {fuzzy number; fuzzy quantity; equivalence of fuzzy number; fuzzy number; fuzzy quantity; equivalence of fuzzy number},
language = {eng},
number = {3},
pages = {[289]-294},
publisher = {Institute of Information Theory and Automation AS CR},
title = {An additive decomposition of fuzzy numbers},
url = {http://eudml.org/doc/33642},
volume = {39},
year = {2003},
}
TY - JOUR
AU - Hong, Dug Hun
TI - An additive decomposition of fuzzy numbers
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 3
SP - [289]
EP - 294
AB - Hong and Do[4] improved Mareš[7] result about additive decomposition of fuzzy quantities concerning an equivalence relation. But there still exists an open question which is the limitation to fuzzy quantities on R (the set of real numbers) with bounded supports in the presented theory. In this paper we restrict ourselves to fuzzy numbers, which are fuzzy quantities of the real line R with convex, normalized and upper semicontinuous membership function and prove this open question.
LA - eng
KW - fuzzy number; fuzzy quantity; equivalence of fuzzy number; fuzzy number; fuzzy quantity; equivalence of fuzzy number
UR - http://eudml.org/doc/33642
ER -
References
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