2024年6月13日，Elsevier 旗下top期刊《Information Sciences》在线发表了云南师范大学数学学院李俊青教授团队的最新研究成果《Two-level balancing multi-objective algorithm for trapezoidal type-2 fuzzy flexible job shop problems》。云师大数学学院为第一单位，通讯作者为云南师范大学数学学院李俊青教授。合作单位为澳门科技大学（Macau University of Science and Technology）、齐鲁工业大学（山东省科学院）（Qilu University of Technology）

https://www.sciencedirect.com/science/article/abs/pii/S0020025524009253

Abstract

Uncertainty remains a critical issue in realistic applications in many fields. However, there is little literature considering trapezoidal interval type-2 fuzzy set (TIT2FS) in scheduling problems. To fill this gap, we propose a two-level balancing multi-objective optimization algorithm for a distributed flexible job shop scheduling problem (DFJSP), wherein two typical constraints are considered: the TIT2FS processing time and the transportation resource limitation. Two objectives are to be minimized: the TIT2FS fuzzy makespan and energy consumption. A two-level evolution mechanism is employed. The first level comprises two populations to optimize the two respective objectives, while the second level is composed of two populations to perform the convergence and diversity balancing tasks. Next, an efficient problem-specific initialization method with several heuristics is presented. Subsequently, different types of mutation and crossover operators are proposed under the consideration of problem knowledge. To further improve the performance of exploration and exploitation abilities, we present a balancing enhanced local search method. Finally, we performed detailed comparisons with four efficient algorithms. The results show that the two-level optimization algorithm was efficient in both convergence and diversity abilities, indicating that our algorithm can efficiently achieve a balance between these abilities.

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李俊青，汉族，山东冠县人，中共党员，2016年6月毕业于东北大学系统工程专业，获工学博士学位。现为云南师范大学教授，博士生导师，中国计算机学会会员、IEEE会员、ACM会员、中国自动化学会会员、中国运筹学会会员等，兼任中国运筹学会排序分委会理事、山东省自动化学会理事、山东计算机学会理事等职务，担任NSFC项目的通讯评议专家和IEEE Trans、OMEGA、ATOMATICA、C&IE、IJPR、IJPE、IJAMT、AMC、自动化学报、机械工程学报等多家国内外知名期刊和重要会议的评委。