关于Sugeno测度的收敛理论

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英文篇名：Convergence Theory on Sugeno Measure 作者：张春琴 ; 李纯果 英文作者：ZHANG Chun-qin;LI Chun-guo;Key Laboratory of Machine Learning and Computational Intelligence, College of Mathematics and Information Science, Hebei University; 关键词：Sugeno测度 ; 收敛理论 ; 收敛概念 ; gλ-随机变量 英文关键词：Sugeno measure;;convergence theory;;convergence concept;;gλ-random variables 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：河北省机器学习与计算智能重点实验室;河北大学数学与信息科学学院; 出版日期：2019-02-23 出版单位：数学的实践与认识 年：2019 期：v.49 基金：河北省教育厅青年基金项目(QN2018161);; 河北省自然科学基金项目(F2018201115) 语种：中文; 页：SSJS201904026 页数：9 CN：04 ISSN：11-2018/O1 分类号：203-211

摘要

研究了Sugeno测度空间上收敛概念之间的关系这一问题.首先介绍Sugeno测度的定义和一些主要的性质;其次提出一些新的关于gλ-随机变量的收敛概念;最后讨论这些收敛概念之间的关系.所得结论推广了经典的收敛理论,扩大了收敛理论的研究范围和应用领域.
        The purpose of this paper is to investigate the relationships among the convergence concepts on Sugeno measure space. First, the definition and some main properties of Sugeno measure are introduced. Second, some new convergence concepts for gλ-random variables are proposed and, ultimately, the relationships among the convergence concepts are discussed.All obtained conclusions are natural extensions of the classical convergence theory. Our work generalizes the researches and applications of the convergence theory.

引文

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