Two-degree-of-freedom Ellsberg urn problem

被引：0
作者：
Waichon Lio
Guangquan Cheng
机构：
[1] Tsinghua University,Department of Mathematical Sciences
[2] National University of Defense Technology,College of Systems Engineering
来源：
Soft Computing | 2020年 / 24卷
关键词：
Urn problem; Ellsberg urn; Uncertainty theory; Chance theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Traditional model assumes there is only randomness existing in the urn problem. However, if the numbers of the colored balls are unknown, then they should be regarded as uncertain variable. Since a ball is drawn randomly, Ellsberg urn problem is essentially a complicated system with randomness and uncertainty. Instead of psychological experiment, this paper applies uncertainty theory and chance theory to provide a rigorous mathematical method for formulating the general case of a one-degree-of-freedom Ellsberg urn problem. Furthermore, a two-degree-of-freedom Ellsberg urn problem is proposed, and the formulation for the problem is given to deal with three unknown numbers of colored balls.
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收藏
页码：6903 / 6908
页数：5
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[23]   minimum-risk problem of unmanned aerial vehicle task allocation with expert belief degree [J].
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Mao S. ;
Gu T.-Y. .
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[24]   Two-stage programming model for time slot allocation problem under uncertain capacity [J].
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Wang Y. ;
Liang Y. ;
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Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics, 2019, 45 (09) :1747-1756
[25]   Two-Stage Uncertain UAV Combat Mission Assignment Problem Based on Uncertainty Theory [J].
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[26]   Uncertain location-allocation decisions for a bi-objective two-stage supply chain network design problem with environmental impacts [J].
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