Geodesic
An additive decomposition of fuzzy numbers
Kybernetika, Tome 39 (2003) no. 3, p. [289]

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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.
Classification : 03E02, 03E72
Keywords: fuzzy number; fuzzy quantity; equivalence of fuzzy number 
@article{KYB_2003__39_3_a3,
     author = {Hong, Dug Hun},
     title = {An additive decomposition of fuzzy numbers},
     journal = {Kybernetika},
     pages = {[289]},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {2003},
     mrnumber = {1995732},
     zbl = {1249.03094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_3_a3/}
}
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Hong, Dug Hun. An additive decomposition of fuzzy numbers. Kybernetika, Tome 39 (2003) no. 3, p. [289]. http://geodesic.mathdoc.fr/item/KYB_2003__39_3_a3/