鲁棒可信性优化的新进展

doi:10.3969/j.issn.1000-1565.2021.05.002

摘要/Abstract

摘要： 鲁棒可信性优化方法是处理模糊可信性分布中包含不确定性的一类有效建模工具.本文综述了近年来鲁棒可信性优化的一些新发展.关于鲁棒可信性优化理论,从垂直和水平波动方向的区分到单参数和双参数选择的设置,回顾了不同波动模式下参数选择变量的定义方法及其与非精确分布集构建的联系.关于鲁棒可信性优化的实践研究,介绍了一些应用问题,如库存、投资、供应链管理以及可持续发展问题,力争提供该方法最新进展的说明并探求未来研究的发展方向.

关键词: 鲁棒可信性, 选择变量, 非精确分布集, 应用研究

Abstract: Robust credibilistic optimization method is an effective modeling tool to deal with the uncertainty in fuzzy credibility distribution. This paper reviews some new developments of robust credibilistic optimization in recent years. As for the theory of robust credibilistic optimization, this paper reviews the definition of parameter selection variables under different fluctuation modes and their relationship with the construction of ambiguous distribution sets, from the distinction of vertical and horizontal fluctuation directions to the setting of single parameter and double parameter selection. On the practical research of robust credibilistic optimization, we introduce some application problems, such as inventory,- DOI:10.3969/j.issn.1000-1565.2021.05.002鲁棒可信性优化的新进展刘彦奎,刘颖(河北大学数学与信息科学学院,河北保定 071002)刘彦奎教授,博士生导师,省管优秀专家,研究领域包括可信性测度论、鲁棒优化、最优控制等,在所从事的研究领域中取得了多项代表性研究成果,目前已主持国家自然科学基金面上项目4项;2007年《不确定规划及其应用》项目获得教育部自然科学奖二等奖(排名第二)、2012年《机会测度理论与模糊优化方法》项目获得河北省自然科学奖二等奖(排名第一)、2018年《不确定信息简约理论与参数可信性优化方法》项目获得河北省自然科学奖二等奖(排名第一);出版中、英文学术著作6部,在多家国际知名学术期刊发表SCI/SSCI检索期刊论文70余篇;2014年至2020年连续入选Elsevier中国高被引学者榜单.摘要:鲁棒可信性优化方法是处理模糊可信性分布中包含不确定性的一类有效建模工具.本文综述了近年来鲁棒可信性优化的一些新发展.关于鲁棒可信性优化理论,从垂直和水平波动方向的区分到单参数和双参数选择的设置,回顾了不同波动模式下参数选择变量的定义方法及其与非精确分布集构建的联系.关于鲁棒可信性优化的实践研究,介绍了一些应用问题,如库存、投资、供应链管理以及可持续发展问题,力争提供该方法最新进展的说明并探求未来研究的发展方向. 关键词:鲁棒可信性;选择变量;非精确分布集;应用研究中图分类号:TP183 文献标志码:A 文章编号:1000-1565(2021)05-0457-06Recent advances in robust credibilistic optimizationLIU Yankui, LIU Ying(College of Mathematics and Information Science, Hebei University, Baoding 071002, China )Abstract: Robust credibilistic optimization method is an effective modeling tool to deal with the uncertainty in fuzzy credibility distribution. This paper reviews some new developments of robust credibilistic optimization in recent years. As for the theory of robust credibilistic optimization, this paper reviews the definition of parameter selection variables under different fluctuation modes and their relationship with the construction of ambiguous distribution sets, from the distinction of vertical and horizontal fluctuation directions to the setting of single parameter and double parameter selection. On the practical research of robust credibilistic optimization, we introduce some application problems, such as inventory,- 收稿日期:2021-03-01 基金项目:国家自然科学基金资助项目(61773150) 第一作者:刘彦奎(1963—),男,河北三河人,河北大学教授,博士生导师,主要从事广义测度论、鲁棒优化、最优控制等领域研究. E-mail:yliu@hbu.edu.cn 通信作者:刘颖(1980—),女,河北保定人,河北大学副教授,博士,主要从事不确定优化、供应链管理、项目管理等领域研究. E-mail:yingliu@hbu.edu.cn第5期刘彦奎等:鲁棒可信性优化的新进展investment, supply chain management and sustainable development problem, and strive to provide a description of the latest progress of the method and explore the future research direction.

Key words: robust credibility, selection variable, ambiguous distribution set, application research

中图分类号:

TP183

刘彦奎,刘颖. 鲁棒可信性优化的新进展[J]. 河北大学学报(自然科学版), 2021, 41(5): 457-462.

LIU Yankui, LIU Ying. Recent advances in robust credibilistic optimization[J]. Journal of Hebei University(Natural Science Edition), 2021, 41(5): 457-462.

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