Interval-valued probability in the analysis of problems containing a mixture of possibilistic, probabilistic, and interval uncertainty

被引：18
|
作者：
Lodwick, Weldon A. [1 ]
Jamison, K. David [1 ]
机构：
[1] Univ Colorado, Dept Math Sci & Stat, Denver, CO 80217 USA
来源：
FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 21期
关键词：
possibility theory; probability theory; interval analysis; interval-valued probability; clouds;
D O I：
10.1016/j.fss.2008.03.013
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A simple definition of interval-valued probability measure (IVPM) is used and its implications are examined for problems in mathematical analysis. In particular, IVPMs are constructed and then used to develop the extension of these measures in such a way that probability, possibility, clouds, and intervals fit within the context of IVP. With the extension principle, integration and product measures that are derived below, mathematical analysis applied to this new structures is enabled. Optimization will be the mathematical analysis used to illustrate the approaches that are developed. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2845 / 2858
页数：14
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