HOW TO COPE WITH DIVISION PROBLEMS UNDER INTERVAL UNCERTAINTY OF CLAIMS?-Reference-Cited by-同舟云学术

HOW TO COPE WITH DIVISION PROBLEMS UNDER INTERVAL UNCERTAINTY OF CLAIMS?

Published:2004-04 Issue:02 Volume:12 Page:191-200
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

BRANZEI RODICA¹,DIMITROV DINKO²,PICKL STEFAN³,TIJS STEF²

Affiliation:

1. Faculty of Computer Science, "Alexandru Ioan Cuza" University, 11 Carol I Bd., Iasi, 6600, Romania

2. CentER and Department of Econometrics and Operations Research, Tilburg Universiy, P.O. Box 90153, Tilburg, 5000 LE, The Netherlands

3. Department of Mathematics, Center for Applied Computer Science (ZAIK), University of Cologne, Weyertal 80, Cologne, D-50931, Germany

Abstract

The paper deals with division situations where individual claims can vary within closed intervals. Uncertainty of claims is removed by weighting in a consistent way the upper and lower bounds of the claim intervals. Deterministic division problems with the obtained compromise claims are then considered and classical division rules from the bankruptcy literature are used to generate several procedures leading to efficient and reasonable rules for division problems under interval uncertainty of claims.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021848850400276X

Reference11 articles.

1. The proportional solution for rights problems

2. New characterizations of old bankruptcy rules

3. Individual rights and collective responsibility: the rights–egalitarian solution

4. The three musketeers: four classical solutions to bankruptcy problems

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fair Bankruptcy Solutions Under Interval Uncertainty;Optimal Transport Statistics for Economics and Related Topics;2023-10-31

2. Bankruptcy problem under uncertainty of claims and estate;Fuzzy Sets and Systems;2023-04

3. Division schemes under uncertainty of claims;Kybernetika;2022-01-03

4. Equal-quantile rules in resource allocation with uncertain needs;Journal of Economic Theory;2021-10

5. How to Divide When There Isn't Enough;ECON SOC MONOGR;2019-08-13