论文标题
模糊随机变量的简单深度
Simplicial depths for fuzzy random variables
论文作者
论文摘要
最近定义的模糊集统计深度函数的概念提供了一个理论框架，以相对于模糊随机变量的分布来订购模糊集。基于多元简单的多元数据，最常用和研究的统计深度函数之一是简单的深度。我们介绍了模糊集产生的假单胞菌的概念，并提出了三个合理的简单深度概括到模糊集。分析了它们的理论特性，并通过对合成数据和真实数据进行研究来说明提案的行为。
The recently defined concept of a statistical depth function for fuzzy sets provides a theoretical framework for ordering fuzzy sets with respect to the distribution of a fuzzy random variable. One of the most used and studied statistical depth function for multivariate data is simplicial depth, based on multivariate simplices. We introduce a notion of pseudosimplices generated by fuzzy sets and propose three plausible generalizations of simplicial depth to fuzzy sets. Their theoretical properties are analyzed and the behavior of the proposals illustrated through a study of both synthetic and real data.
