# 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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