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Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on Choquet Integral and Its Application to Multi-CriteriaDecision-Making Problems

Xi-hua Li,Xiao-hong Chen

《工程管理前沿（英文）》 2015年第2卷第3期页码 266-276 doi: 10.15302/J-FEM-2015048

摘要： The Choquet integral can serve as a useful tool to aggregate interacting criteria in an uncertain environment. In this paper, a trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is proposed for multi-criteria decision-making problems. The decision information takes the form of trapezoidal intuitionistic fuzzy numbers and both the importance and the interaction information among decision-making criteria are considered. On the basis of the introduction of trapezoidal intuitionistic fuzzy numbers, its operational laws and expected value are defined. A trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is then defined and some of its properties are investigated. A new multi-criteria decision-making method based on a trapezoidal intuitionistic fuzzy Choquet integral operator is proposed. Finally, an illustrative example is used to show the feasibility and availability of the proposed method.

关键词： multi-criteria decision making trapezoidal intuitionistic fuzzy numbers Choquet integral fuzzy measure aggregation operator

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基于Z数的TODIM与TOPSIS方法 None

Renato A. KROHLING, André G. C. PACHECO, Guilherme A. dos SANTOS

《信息与电子工程前沿（英文）》 2019年第20卷第2期页码 283-291 doi: 10.1631/FITEE.1700434

摘要：提出一种针对多标准决策问题处理Z数的方法。使用模糊数A和B的有序对Z=(A, B)定义Z数，其中A是兴趣变量的语言值，B是A的概率测度语言值。人类通过自然语言进行交流，使用这样的句子如“从家到大学大约需要半小时”。将Z数转化为模糊数，Z-TODIM和Z-TOPSIS分别是模糊TODIM和模糊TOPSIS的直接扩展。将提出的方法应用于两个案例并与使用精确数的标准方法比较，结果证明其可行。

关键词：多标准决策；TODIM；TOPSIS；模糊数；Z数

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基于犹豫模糊决策矩阵的犹豫模糊多准则共识群决策方法 Article

Jie DING, Ze-shui XU, Hu-chang LIAO

《信息与电子工程前沿（英文）》 2017年第18卷第11期页码 1679-1692 doi: 10.1631/FITEE.1601546

摘要：本文建立了两种关于犹豫模糊多准则群共识决策的方法，并使用犹豫模糊决策矩阵（hesitant fuzzy decision matrices, HFDMs）表示专家的偏好。

关键词：多准则群决策；群共识；共识达成方法；犹豫模糊决策矩阵；集成算子

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Build orientation determination of multi-feature mechanical parts in selective laser melting via multi-objectivedecision making

《机械工程前沿（英文）》 2023年第18卷第2期 doi: 10.1007/s11465-022-0737-8

摘要： Selective laser melting (SLM) is a unique additive manufacturing (AM) category that can be used to manufacture mechanical parts. It has been widely used in aerospace and automotive using metal or alloy powder. The build orientation is crucial in AM because it affects the as-built part, including its part accuracy, surface roughness, support structure, and build time and cost. A mechanical part is usually composed of multiple surface features. The surface features carry the production and design knowledge, which can be utilized in SLM fabrication. This study proposes a method to determine the build orientation of multi-feature mechanical parts (MFMPs) in SLM. First, the surface features of an MFMP are recognized and grouped for formulating the particular optimization objectives. Second, the estimation models of involved optimization objectives are established, and a set of alternative build orientations (ABOs) is further obtained by many-objective optimization. Lastly, a multi-objective decision making method integrated by the technique for order of preference by similarity to the ideal solution and cosine similarity measure is presented to select an optimal build orientation from those ABOs. The weights of the feature groups and considered objectives are achieved by a fuzzy analytical hierarchy process. Two case studies are reported to validate the proposed method with numerical results, and the effectiveness comparison is presented. Physical manufacturing is conducted to prove the performance of the proposed method. The measured average sampling surface roughness of the most crucial feature of the bracket in the original orientation and the orientations obtained by the weighted sum model and the proposed method are 15.82, 10.84, and 10.62 μm, respectively. The numerical and physical validation results demonstrate that the proposed method is desirable to determine the build orientations of MFMPs with competitive results in SLM.

关键词： selective laser melting (SLM) build orientation determination multi-feature mechanical part (MFMP) fuzzy analytical hierarchy process multi-objective decision making (MODM)

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A multi-attribute decision making approach of mix design based on experimental soil characterization

Amit K. BERA, Tanmoy MUKHOPADHYAY, Ponnada J. MOHAN, Tushar K. DEY

《结构与土木工程前沿（英文）》 2018年第12卷第3期页码 361-371 doi: 10.1007/s11709-017-0425-7

摘要：

The clay mineral composition is one of the major factors that governs the physical properties of silty sand subgrade. Therefore, a thorough knowledge of mineral composition is essential to predict the optimum engineering properties of the soil, which is generally characterized by different indices like maximum dry density (MDD), California bearing ratio (CBR), unconfined compressive strength (UCS) and free swelling index (FSI). In this article, a novel multi-attribute decision making (MADM) based approach of mix design has been proposed for silty sand – artificial clay mix to improve the characteristic strength of a soil subgrade. Experimental investigation has been carried out in this study to illustrate the proposed approach of selecting appropriate proportion for the soil mix to optimize all the above mentioned engineering properties simultaneously. The results show that a mix proportion containing approximately 90% silty sand plus 10% bentonite soil is the optimal combination in context to the present study. The proposed methodology for optimal decision making to choose appropriate combination of bentonite and silty sand is general in nature and therefore, it can be extended to other problems of selecting mineral compositions.

关键词： silty sand bentonite soil soil mix design multi-attribute decision making

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多目标优化与决策问题的演化算法

谢涛,陈火旺

《中国工程科学》 2002年第4卷第2期页码 59-68

摘要：

近年来，多目标优化与决策问题求解已成为演化计算的一个重要研究方向。为使演化算法的种群解能尽快收敛并均匀分布于多目标问题的非劣最优域，多目标演化算法的研究热点集中在基于Pareto最优概念的种群个体的比较与排序、适应值賦值与小生境技术等方面。介绍了多目标优化与决策技术的发展历史与分类方法，分析了基于Pareto最优概念与不基于Pareto最优概念两大类的多目标演化算法，并详细比较与分析了几种典型多目标演化算法。其次，论述了与多目标演化算法研究紧密相关的一些问题，如多目标问题解的性质，测试函数集设计，算法性能评估技术，算法收敛性，并行实现以及实际多目标优化问题的处理等。

关键词：演化计算多目标优化与决策 Pareto最优

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一类灰色模糊决策问题的熵权分析方法

罗党,刘思峰

《中国工程科学》 2004年第6卷第10期页码 48-51

摘要：

以灰色系统理论和模糊数学为基础，探讨了不确定型决策问题的特性，分析了一些相关成果中所给方法在直接处理灰色模糊数方面的优势与不足。运用优化理论和熵极大化准则，建立了基于灰色模糊关系的多属性群体决策方法，分别对属性权重向量已知和未知两种情况给出了简便实用的算法，通过算例说明了算法的合理性。

关键词：灰色模糊关系熵多属性决策

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An overview on the applications of the hesitant fuzzy sets in group decision-making: Theory, support

Zeshui XU, Shen ZHANG

《工程管理前沿（英文）》 2019年第6卷第2期页码 163-182 doi: 10.1007/s42524-019-0017-4

摘要： Due to the characteristics of hesitant fuzzy sets (HFSs), one hesitant fuzzy element (HFE), which is the basic component of HFSs, can express the evaluation values of multiple decision makers (DMs) on the same alternative under a certain attribute. Thus, the HFS has its unique advantages in group decision making (GDM). Based on which, many scholars have conducted in-depth research on the applications of HFSs in GDM. We have viewed lots of relevant literature and divided the existing studies into three categories: theory, support and methods. In this paper, we elaborate on hesitant fuzzy GDM from these three aspects. The first aspect is mainly about the introduction of HFSs, HFPRs and some hesitant fuzzy aggregation operators. The second aspect describes the consensus process under hesitant fuzzy environment, which is an important support for a complete decision-making process. In the third aspect, we introduce seven hesitant fuzzy GDM approaches, which can be applied in GDM under different decision-making conditions. Finally, we summarize the research status of hesitant fuzzy GDM and put forward some directions of future research.

关键词： hesitant fuzzy set hesitant fuzzy preference relation group decision-making

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Clinical decision-making by the emergency department resident physicians for critically ill patients

null

《医学前沿（英文）》 2012年第6卷第1期页码 89-93 doi: 10.1007/s11684-012-0183-9

摘要：

The application of main methodologies for clinical decision-making by residents in emergency medical practice was assessed, and issues in this area were investigated. The treatments provided to 2 611 critical patients by the Peking Union Medical College Hospital of were analyzed by independent investigators who evaluated the main clinical decision-making processes applied by the hospital residents. The application of decision-making strategies by PG1 and PG3 groups, which means the residents in first year and the third year, were compared. The patients were treated according to pattern recognition (43.0%), hypothetico-deductive reasoning (23.4%), event-driven models (19.3%), and rule-using algorithms (5.9%). A significant difference was found between PG1 and PG3 groups (χ²=498.01, P<0.001). Pattern recognition and hypothetic-deductive methods were the most common techniques applied by emergency physicians in evaluating critically ill patients. The decision-making processes applied by junior and senior residents were significantly different, although neither group adequately applied rule-using algorithms. Inclusion of clinical decision-making in medical curricula is needed to improve decision-making in critical care.

关键词： clinical decision-making emergency medicine critically ill patient resident methodology

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Toward Trustworthy Decision-Making for Autonomous Vehicles: A Robust Reinforcement Learning Approach

Xiangkun He,Wenhui Huang,Chen Lv,

《工程（英文）》 doi: 10.1016/j.eng.2023.10.005

摘要： While autonomous vehicles are vital components of intelligent transportation systems, ensuring the trustworthiness of decision-making remains a substantial challenge in realizing autonomous driving. Therefore, we present a novel robust reinforcement learning approach with safety guarantees to attain trustworthy decision-making for autonomous vehicles. The proposed technique ensures decision trustworthiness in terms of policy robustness and collision safety. Specifically, an adversary model is learned online to simulate the worst-case uncertainty by approximating the optimal adversarial perturbations on the observed states and environmental dynamics. In addition, an adversarial robust actor-critic algorithm is developed to enable the agent to learn robust policies against perturbations in observations and dynamics. Moreover, we devise a safety mask to guarantee the collision safety of the autonomous driving agent during both the training and testing processes using an interpretable knowledge model known as the Responsibility-Sensitive Safety model. Finally, the proposed approach is evaluated through both simulations and experiments. These results indicate that the autonomous driving agent can make trustworthy decisions and drastically reduce the number of collisions through robust safety policies.

关键词： Autonomous vehicle Decision-making Reinforcement learning Adversarial attack Safety guarantee

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基于遗传算法的传感器网络拓扑控制研究

刘林峰,庄艳艳,刘业

《中国工程科学》 2008年第10卷第2期页码 66-71

摘要：

无线传感器网络的首要设计目标是延长网络生命期，网络的拓扑控制是实现这一目标的支撑基础。针对传统拓扑控制方案所获拓扑的连通冗余度高或结构健壮性低等弊端，将问题转化为多判据最小生成树模型，提出了一种基于遗传算法的拓扑控制方案。仿真实验结果表明，该方案可获得具有网络整体功耗低、结构健壮性高和节点间通信干扰小等特点的拓扑结构，因而能够有效地延长传感器网络生命期。

关键词：无线传感器网络拓扑控制多判据最小生成树问题遗传算法

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A consensus model for group decision making under interval type-2 fuzzy environment

Xiao-xiong ZHANG,Bing-feng GE,Yue-jin TAN

《信息与电子工程前沿（英文）》 2016年第17卷第3期页码 237-249 doi: 10.1631/FITEE.1500198

摘要： We propose a new consensus model for group decision making (GDM) problems, using an interval type-2 fuzzy environment. In our model, experts are asked to express their preferences using linguistic terms characterized by interval type-2 fuzzy sets (IT2 FSs), because these can provide decision makers with greater freedom to express the vagueness in real-life situations. Consensus and proximity measures based on the arithmetic operations of IT2 FSs are used simultaneously to guide the decision-making process. The majority of previous studies have taken into account only the importance of the experts in the aggregation process, which may give unreasonable results. Thus, we propose a new feedback mechanism that generates different advice strategies for experts according to their levels of importance. In general, experts with a lower level of importance require a larger number of suggestions to change their initial preferences. Finally, we investigate a numerical example and execute comparable models and ours, to demonstrate the performance of our proposed model. The results indicate that the proposed model provides greater insight into the GDM process.

关键词： Group decision making (GDM) Interval type-2 fuzzy sets (IT2 FSs) Feedback mechanism

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Challenges of human–machine collaboration in risky decision-making

《工程管理前沿（英文）》 2022年第9卷第1期页码 89-103 doi: 10.1007/s42524-021-0182-0

摘要： The purpose of this paper is to delineate the research challenges of human–machine collaboration in risky decision-making. Technological advances in machine intelligence have enabled a growing number of applications in human–machine collaborative decision-making. Therefore, it is desirable to achieve superior performance by fully leveraging human and machine capabilities. In risky decision-making, a human decision-maker is vulnerable to cognitive biases when judging the possible outcomes of a risky event, whereas a machine decision-maker cannot handle new and dynamic contexts with incomplete information well. We first summarize features of risky decision-making and possible biases of human decision-makers therein. Then, we argue the necessity and urgency of advancing human–machine collaboration in risky decision-making. Afterward, we review the literature on human–machine collaboration in a general decision context, from the perspectives of human–machine organization, relationship, and collaboration. Lastly, we propose challenges of enhancing human–machine communication and teamwork in risky decision-making, followed by future research avenues.

关键词： human–machine collaboration risky decision-making human–machine team and interaction task allocation human–machine relationship

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Applying system dynamics to strategic decision making in construction

SangHyun LEE

《工程管理前沿（英文）》 2017年第4卷第1期页码 35-40 doi: 10.15302/J-FEM-2017002

摘要： The author discusses the application of System Dynamics to high-level strategic simulation in construction. In particular, System Dynamics’ strength on representing feedback processes, aggregation, soft variables, and continuous simulation clock for high-level simulation are discussed using real modeling examples. From this exercise, it is concluded that System Dynamics offers a great potential for strategic simulation in construction. Further, the author proposes a comprehensive simulation framework that integrates System Dynamics and Discrete Event Simulation for a strategic decision making process in construction where operational details should be taken into account.

关键词： strategic project management construction management system dynamics feedback process hybrid simulation

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Evolutionary Decision-Making and Planning for Autonomous Driving Based on Safe and Rational Exploration

Kang Yuan,Yanjun Huang,Shuo Yang,Zewei Zhou,Yulei Wang,Dongpu Cao,Hong Chen,

《工程（英文）》 doi: 10.1016/j.eng.2023.03.018

摘要： Decision-making and motion planning are extremely important in autonomous driving to ensure safe driving in a real-world environment. This study proposes an online evolutionary decision-making and motion planning framework for autonomous driving based on a hybrid data- and model-driven method. First, a data-driven decision-making module based on deep reinforcement learning (DRL) is developed to pursue a rational driving performance as much as possible. Then, model predictive control (MPC) is employed to execute both longitudinal and lateral motion planning tasks. Multiple constraints are defined according to the vehicle’s physical limit to meet the driving task requirements. Finally, two principles of safety and rationality for the self-evolution of autonomous driving are proposed. A motion envelope is established and embedded into a rational exploration and exploitation scheme, which filters out unreasonable experiences by masking unsafe actions so as to collect high-quality training data for the DRL agent. Experiments with a high-fidelity vehicle model and MATLAB/Simulink co-simulation environment are conducted, and the results show that the proposed online-evolution framework is able to generate safer, more rational, and more efficient driving action in a real-world environment.

关键词： Autonomous driving Decision-making Motion planning Deep reinforcement learning Model predictive control