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

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