Division schemes under uncertainty of claims

Xianghui Li; Yang Li; Wei Zheng

Kybernetika (2021)

  • Volume: 57, Issue: 5, page 840-855
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Li, Xianghui, Li, Yang, and Zheng, Wei. "Division schemes under uncertainty of claims." Kybernetika 57.5 (2021): 840-855. <http://eudml.org/doc/297661>.

@article{Li2021,
abstract = {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.},
author = {Li, Xianghui, Li, Yang, Zheng, Wei},
journal = {Kybernetika},
keywords = {division scheme; bankruptcy; interval; fuzzy},
language = {eng},
number = {5},
pages = {840-855},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Division schemes under uncertainty of claims},
url = {http://eudml.org/doc/297661},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Li, Xianghui
AU - Li, Yang
AU - Zheng, Wei
TI - Division schemes under uncertainty of claims
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 5
SP - 840
EP - 855
AB - 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.
LA - eng
KW - division scheme; bankruptcy; interval; fuzzy
UR - http://eudml.org/doc/297661
ER -

References

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