Measures of distortion in possibilistic approximations of consistent random sets and intervals.

Joslyn, C.

Technical Information Center Oak Ridge Tennessee

关键词: Distortion;    Probability;    Availability;    Specificity;    Random sets;   

RP-ID  :  DE2001777457

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

The availability of probability or possibility measures for random set (Dempster-Shafer evidence theoretical) structures are highly desirable. Probabilistic conditions involve disjointness or specificity, while possibilistic conditions involve consonance of the underlying focal elements. Consistency results in possibilistic distributions, but not measures, but then a unique approximation is available. Especially in random interval measurement situations, this condition is common. In this paper we develop some of the mathematical ideas necessary to develop a measure of the distortion introduced by this consonant approximation of a consistent random set.