Geodesic
Division schemes under uncertainty of claims
Kybernetika, Tome 57 (2021) no. 5, pp. 840-855.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In some economic or social division problems, we may encounter uncertainty of claims, that is, a certain amount of estate has to be divided among some claimants who have individual claims on the estate, and the corresponding claim of each claimant can vary within a closed interval or fuzzy interval. In this paper, we classify the division problems under uncertainty of claims into three subclasses and present several division schemes from the perspective of axiomatizations, which are consistent with the classical bankruptcy rules in particular cases. When claims of claimants have fuzzy interval uncertainty, we settle such type of division problems by turning them into division problems under interval uncertainty.
DOI : 10.14736/kyb-2021-5-0840
Classification : 03B52, 91A12
Keywords: division scheme; bankruptcy; interval; fuzzy 
@article{10_14736_kyb_2021_5_0840,
     author = {Li, Xianghui and Li, Yang and Zheng, Wei},
     title = {Division schemes under uncertainty of claims},
     journal = {Kybernetika},
     pages = {840--855},
     publisher = {mathdoc},
     volume = {57},
     number = {5},
     year = {2021},
     doi = {10.14736/kyb-2021-5-0840},
     mrnumber = {4363240},
     zbl = {07478643},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0840/}
}
TY  - JOUR
AU  - Li, Xianghui
AU  - Li, Yang
AU  - Zheng, Wei
TI  - Division schemes under uncertainty of claims
JO  - Kybernetika
PY  - 2021
SP  - 840
EP  - 855
VL  - 57
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0840/
DO  - 10.14736/kyb-2021-5-0840
LA  - en
ID  - 10_14736_kyb_2021_5_0840
ER  - 
%0 Journal Article
%A Li, Xianghui
%A Li, Yang
%A Zheng, Wei
%T Division schemes under uncertainty of claims
%J Kybernetika
%D 2021
%P 840-855
%V 57
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0840/
%R 10.14736/kyb-2021-5-0840
%G en
%F 10_14736_kyb_2021_5_0840
Li, Xianghui; Li, Yang; Zheng, Wei. Division schemes under uncertainty of claims. Kybernetika, Tome 57 (2021) no. 5, pp. 840-855. doi : 10.14736/kyb-2021-5-0840. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-5-0840/

Cité par Sources :