How to cope with division problems under interval uncertainty of claims?

被引:20
|
作者
Branzei, R
Dimitrov, D
Pickl, S
Tijs, S
机构
[1] Alexandru Ioan Cuza Univ, Fac Comp Sci, R-6600 Iasi, Romania
[2] Tilburg Univ, Ctr & Dept Econometr & Operat Res, NL-5000 LE Tilburg, Netherlands
[3] Univ Cologne, ZAIK, Ctr Appl Comp Sci, Dept Math, D-50931 Cologne, Germany
关键词
claims; division problems; interval uncertainty; rules;
D O I
10.1142/S021848850400276X
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:191 / 200
页数:10
相关论文
共 50 条
  • [1] Fair division under interval uncertainty
    Yager, RR
    Kreinovich, V
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2000, 8 (05) : 611 - 618
  • [2] A note on fair division under interval uncertainty
    Woeginger, Gerhard J.
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2006, 14 (06) : 753 - 756
  • [3] Weak and Strong Compatibility in Data Fitting Problems Under Interval Uncertainty
    Shary, Sergey P.
    ADVANCES IN DATA SCIENCE AND ADAPTIVE ANALYSIS, 2020, 12 (01)
  • [4] Interval deep learning for computational mechanics problems under input uncertainty
    Betancourt, David
    Muhanna, Rafi L.
    PROBABILISTIC ENGINEERING MECHANICS, 2022, 70
  • [5] Cooperation under interval uncertainty
    S. Zeynep Alparslan-Gök
    Silvia Miquel
    Stef H. Tijs
    Mathematical Methods of Operations Research, 2009, 69 : 99 - 109
  • [6] Solving Robust Weighted Independent Set Problems on Trees and under Interval Uncertainty
    Klobucar, Ana
    Manger, Robert
    SYMMETRY-BASEL, 2021, 13 (12):
  • [7] Cooperation under interval uncertainty
    Alparslan-Goek, S. Zeynep
    Miquel, Silvia
    Tijs, Stef H.
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2009, 69 (01) : 99 - 109
  • [8] FIX-AND-OPTIMIZE METAHEURISTICS FOR MINMAX REGRET BINARYINTEGER PROGRAMMING PROBLEMS UNDER INTERVAL UNCERTAINTY
    Carvalho, Iago A. A.
    Noronha, Thiago F. F.
    Duhamel, Christophe
    RAIRO-OPERATIONS RESEARCH, 2022, 56 (06) : 4281 - 4301
  • [9] ESTIMATION AND RANKING OF ALTERNATIVES UNDER INTERVAL UNCERTAINTY
    Ovezgel'dyev, A. O.
    Petrov, K. E.
    CYBERNETICS AND SYSTEMS ANALYSIS, 2005, 41 (04) : 599 - 603
  • [10] OPTIMIZATION PROBLEMS WITH INTERVAL UNCERTAINTY: BRANCH AND BOUND METHOD
    Sergienko, I. V.
    Iemets, Ol. O.
    Yemets, Ol. O.
    CYBERNETICS AND SYSTEMS ANALYSIS, 2013, 49 (05) : 673 - 683