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Generalized Orthopair Fuzzy Weighted Power Bonferroni Mean Operator and Its Application in Decision Making 广义矫形模糊加权幂Bonferroni均值算子及其在决策中的应用
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-31 DOI: 10.3390/sym15112007
Bowen Hou, Yongming Chen
The generalized orthopair fuzzy set is more favored by decision-makers and extensively utilized in areas like supply chain management, risk investment, and pattern recognition because it offers a broader decision information boundary than the intuitionistic fuzzy set and Pythagorean fuzzy set. This enables it to express fuzzy information more comprehensively and accurately in multi-attribute decision-making problems. To this end, this paper combines the ability of the power average (PA) operator to eliminate the impact of extreme values and the advantage of the Bonferroni mean (BMs,t) operator in reflecting the relationships between variables, then incorporates weight indicators for different attributes to define the generalized orthopair fuzzy weighted power Bonferroni mean operator. The effectiveness of this operator is demonstrated through aggregation laws for generalized orthopair fuzzy information. Subsequently, the desirable properties of this operator are discussed. Based on these findings, a novel generalized orthopair fuzzy multi-attribute decision-making method, with a correlation between attributes, is proposed. Lastly, an investment decision-making example illustrates the feasibility and superiority of this method.
由于广义正形模糊集比直觉模糊集和毕达哥拉斯模糊集提供了更广泛的决策信息边界,因此更受到决策者的青睐,广泛应用于供应链管理、风险投资、模式识别等领域。这使得它在多属性决策问题中能够更全面、更准确地表达模糊信息。为此,本文结合功率平均算子(PA)消除极值影响的能力和Bonferroni均值算子(bm,t)反映变量间关系的优势,结合不同属性的权重指标,定义广义正形模糊加权功率Bonferroni均值算子。通过对广义正形模糊信息的聚合规律证明了该算子的有效性。随后,讨论了该算子的理想性质。在此基础上,提出了一种考虑属性间相关性的广义正形模糊多属性决策方法。最后,通过投资决策实例说明了该方法的可行性和优越性。
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引用次数: 0
Effective Two-Phase Heuristic and Lower Bounds for Multi-Stage Flexible Flow Shop Scheduling Problem with Unloading Times 带卸载时间的多阶段柔性流水车间调度问题的有效两阶段启发式及下界
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-31 DOI: 10.3390/sym15112005
Lotfi Hidri
This paper addresses the flexible flow shop scheduling problem with unloading operations, which commonly occurs in modern manufacturing processes like sand casting. Although only a few related works have been proposed in the literature, the significance of this problem motivates the need for efficient algorithms and the exploration of new properties. One interesting property established is the symmetry of the problem, where scheduling from the first stage to the last or vice versa yields the same optimal solution. This property enhances solution quality. Considering the problem’s theoretical complexity as strongly NP-Hard, approximate solutions are preferable, especially for medium and large-scale instances. To address this, a new two-phase heuristic is proposed, consisting of a constructive phase and an improvement phase. This heuristic builds upon an existing efficient heuristic for the parallel machine-scheduling problem and extends it to incorporate unloading times efficiently. The selection of the two-phase heuristic is justified by its ability to generate high-quality schedules at each stage. Moreover, new efficient lower bounds based on estimating minimum idle time in each stage are presented, utilizing the polynomial parallel machine-scheduling problem with flow time minimization in the previous stage. These lower bounds contribute to assessing the performance of the two-phase heuristic over the relative gap performance measure. Extensive experiments are conducted on benchmark test problems, demonstrating the effectiveness of the proposed algorithms. The results indicate an average computation time of 9.92 s and a mean relative gap of only 2.80% for several jobs up to 200 and several stages up to 10.
本文研究了砂型铸造等现代制造过程中常见的带卸载作业的柔性流水车间调度问题。虽然文献中只提出了一些相关的工作,但这个问题的重要性激发了对高效算法和探索新性质的需求。建立了一个有趣的性质,即问题的对称性,从第一阶段到最后阶段的调度或反之亦然,都会产生相同的最优解。此特性可提高溶液质量。考虑到问题的理论复杂性为强NP-Hard,近似解是可取的,特别是对于中型和大型实例。为了解决这个问题,提出了一种新的两阶段启发式方法,包括构建阶段和改进阶段。该启发式算法建立在现有的并行机器调度问题的有效启发式算法的基础上,并将其扩展到有效地包含卸载时间。两阶段启发式的选择是合理的,因为它能够在每个阶段生成高质量的时间表。此外,利用前一阶段流时间最小化的多项式并行机器调度问题,提出了基于估计各阶段最小空闲时间的新的有效下界。这些下界有助于评估相对差距绩效度量的两阶段启发式的性能。在基准测试问题上进行了大量实验,证明了所提出算法的有效性。结果表明,在200以下的几个作业和10以下的几个阶段,平均计算时间为9.92 s,平均相对差距仅为2.80%。
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引用次数: 0
Self-Supervised Spatiotemporal Masking Strategy-Based Models for Traffic Flow Forecasting 基于自监督时空掩蔽策略的交通流量预测模型
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-31 DOI: 10.3390/sym15112002
Gang Liu, Silu He, Xing Han, Qinyao Luo, Ronghua Du, Xinsha Fu, Ling Zhao
Traffic flow forecasting is an important function of intelligent transportation systems. With the rise of deep learning, building traffic flow prediction models based on deep neural networks has become a current research hotspot. Most of the current traffic flow prediction methods are designed from the perspective of model architectures, using only the traffic features of future moments as supervision signals to guide the models to learn the spatiotemporal dependence in traffic flow. However, traffic flow data themselves contain rich spatiotemporal features, and it is feasible to obtain additional self-supervised signals from the data to assist the model to further explore the underlying spatiotemporal dependence. Therefore, we propose a self-supervised traffic flow prediction method based on a spatiotemporal masking strategy. A framework consisting of symmetric backbone models with asymmetric task heads were applied to learn both prediction and spatiotemporal context features. Specifically, a spatiotemporal context mask reconstruction task was designed to force the model to reconstruct the masked features via spatiotemporal context information, so as to assist the model to better understand the spatiotemporal contextual associations in the data. In order to avoid the model simply making inferences based on the local smoothness in the data without truly learning the spatiotemporal dependence, we performed a temporal shift operation on the features to be reconstructed. The experimental results showed that the model based on the spatiotemporal context masking strategy achieved an average prediction performance improvement of 1.56% and a maximum of 7.72% for longer prediction horizons of more than 30 min compared with the backbone models.
交通流预测是智能交通系统的一项重要功能。随着深度学习的兴起,基于深度神经网络构建交通流预测模型已成为当前的研究热点。目前大多数交通流预测方法都是从模型体系结构的角度进行设计的,仅使用未来时刻的交通特征作为监督信号,指导模型学习交通流的时空依赖性。然而,交通流数据本身包含丰富的时空特征,从数据中获取额外的自监督信号以辅助模型进一步探索潜在的时空依赖性是可行的。因此,我们提出了一种基于时空掩蔽策略的自监督交通流预测方法。采用对称骨架模型和非对称任务头组成的框架学习预测和时空上下文特征。具体来说,设计了一个时空上下文掩模重构任务,通过时空上下文信息强制模型重构被掩模特征,以帮助模型更好地理解数据中的时空上下文关联。为了避免模型仅仅根据数据的局部平滑性进行推断,而没有真正了解到数据的时空依赖性,我们对待重构的特征进行了时间移位操作。实验结果表明,与骨干模型相比,基于时空背景掩蔽策略的模型在超过30 min的较长预测时段内的预测性能平均提高了1.56%,最大提高了7.72%。
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引用次数: 0
Symmetry in the Bit-Stream Converter Design 位流转换器设计中的对称性
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-31 DOI: 10.3390/sym15112006
Olga Bureneva, Nikolay Safyannikov, Sergey Mironov
The paper presents the results of the study of the influence of symmetry in the design of bit-stream digital converters. We have shown realizations of the symmetry-based approach at different levels: at the level of basic elements, functional converters, and at the level of processes occurring in bit-streaming devices. Using symmetry in design, we have developed basic bit-stream elements that realize frequently used transformations with good technical performance. As a research result, we present descriptions and implementation results of the designed symmetric bit-stream devices in FPGA chips. Using the proposed elements and the concept of symmetric bit-stream device design, we designed and presented a specialized computing module for a temperature sensor controller.
本文介绍了对称对比特流数字转换器设计影响的研究结果。我们已经展示了基于对称的方法在不同层次上的实现:在基本元素的层次上,功能转换器的层次上,以及在比特流设备中发生的过程的层次上。利用对称设计,我们开发了基本的比特流元素,实现了常用的转换,具有良好的技术性能。作为研究结果,我们给出了所设计的对称比特流器件在FPGA芯片上的描述和实现结果。利用所提出的元件和对称位流器件设计的概念,我们设计并提出了一个温度传感器控制器的专用计算模块。
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引用次数: 0
Impact of Inertial Forces on Car Occupants in a Vehicle-Fixed Barrier Front Crash 车辆固定屏障正面碰撞中惯性力对乘员的影响
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-30 DOI: 10.3390/sym15111998
Stanimir Karapetkov, Hristo Uzunov, Silvia Dechkova, Vasil Uzunov
In most cases, the dynamic investigation of vehicle collisions with stationary obstacles concerns solutions to complex tasks related to the identification of occupant position in the vehicle. The motion of the bodies in the car is determined by the intensity of the inertial coordinate system, also known as moving reference frame, invariably fixed to the vehicle’s center of mass. The focus of the study is on how forces of inertia change their magnitude and direction in the car’s motion. This requires specific analysis carried out by dividing the vehicle trajectory into separate stages according to certain indicators, such as free motion, impact process, and post-impact residual motion. Particular attention has been paid to the impact itself, in which the forces of inertia are the most intense, and their magnitude and direction change abruptly. A solution to a Cauchy problem has been found, in which initial kinematic parameters of the crash process are considered, satisfying the kinematic values at rest position.
在大多数情况下,车辆与静止障碍物碰撞的动态研究涉及到与车辆中乘员位置识别相关的复杂任务的解决方案。车身在汽车中的运动是由惯性坐标系的强度决定的,惯性坐标系也被称为运动参考系,它总是固定在汽车的质心上。这项研究的重点是在汽车运动中惯性力是如何改变其大小和方向的。这需要进行具体的分析,根据某些指标,如自由运动、冲击过程和冲击后残余运动,将车辆轨迹划分为不同的阶段。特别注意的是撞击本身,其中惯性力是最强烈的,其大小和方向突然改变。给出了考虑碰撞过程初始运动学参数,满足静止位置运动学值的柯西问题的解。
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引用次数: 0
Euclidean Jordan Algebras, Symmetric Association Schemes, Strongly Regular Graphs, and Modified Krein Parameters of a Strongly Regular Graph 欧几里得Jordan代数,对称关联方案,强正则图,以及强正则图的修正Krein参数
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-30 DOI: 10.3390/sym15111997
Luís Almeida Vieira
In this paper, in the environment of Euclidean Jordan algebras, we establish some inequalities over the Krein parameters of a symmetric association scheme and of a strongly regular graph. Next, we define the modified Krein parameters of a strongly regular graph and establish some admissibility conditions over these parameters. Finally, we introduce some relations over the Krein parameters of a strongly regular graph.
本文在欧几里德Jordan代数环境下,建立了对称关联格式和强正则图的Krein参数上的一些不等式。其次,我们定义了一个强正则图的修正Krein参数,并建立了这些参数的可容许性条件。最后,我们引入了强正则图的Krein参数上的一些关系。
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引用次数: 0
A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(·) 变可积性Lp(·)Lebesgue空间中的一个不动点定理
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-30 DOI: 10.3390/sym15111999
Amnay Amri, Mohamed Amine Khamsi, Osvaldo D. Méndez
We establish a fixed point property for the Lebesgue spaces with variable exponents Lp(·), focusing on the scenario where the exponent closely approaches 1. The proof does not impose any additional conditions. In particular, our investigation centers on ρ-non-expansive mappings defined on convex subsets of Lp(·), satisfying the “condition of uniform decrease” that we define subsequently.
本文建立了变指数Lp(·)的Lebesgue空间的不动点性质,重点讨论了指数趋近于1的情形。该证明不附加任何条件。特别地,我们的研究集中于定义在Lp(·)的凸子集上的ρ-非扩张映射,它满足我们随后定义的“一致减小条件”。
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引用次数: 0
Alternative Derivation of the Non-Abelian Stokes Theorem in Two Dimensions 二维非阿贝尔斯托克斯定理的另一种推导
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-30 DOI: 10.3390/sym15112000
Seramika Ariwahjoedi, Freddy Permana Zen
The relation between the holonomy along a loop with the curvature form is a well-known fact, where the small square loop approximation of aholonomy Hγ,O is proportional to Rσ. In an attempt to generalize the relation for arbitrary loops, we encounter the following ambiguity. For a given loop γ embedded in a manifold M, Hγ,O is an element of a Lie group G; the curvature Rσ∈g is an element of the Lie algebra of G. However, it turns out that the curvature form Rσ obtained from the small loop approximation is ambiguous, as the information of γ and Hγ,O are insufficient for determining a specific plane σ responsible for Rσ. To resolve this ambiguity, it is necessary to specify the surface S enclosed by the loop γ; hence, σ is defined as the limit of S when γ shrinks to a point. In this article, we try to understand this problem more clearly. As a result, we obtain an exact relation between the holonomy along a loop with the integral of the curvature form over a surface that it encloses. The derivation of this result can be viewed as an alternative proof of the non-Abelian Stokes theorem in two dimensions with some generalizations.
沿环的完整度与曲率形式之间的关系是一个众所周知的事实,其中完整度的小方环近似Hγ,O与Rσ成正比。在尝试推广任意循环的关系时,我们遇到了以下的模糊性。对于嵌入流形M中的给定环γ, Hγ,O是李群G的元素;曲率Rσ∈g是g的李代数的一个元素。然而,由小环近似得到的曲率形式Rσ是模糊的,因为γ和Hγ,O的信息不足以确定一个特定的平面σ负责Rσ。为了解决这种歧义,有必要指定由环γ包围的表面S;因此,σ被定义为当γ收缩到一点时S的极限。在本文中,我们试图更清楚地理解这个问题。因此,我们得到了沿环的完整度与其所包围的曲面上曲率形式的积分之间的精确关系。这个结果的推导可以看作是二维非阿贝尔斯托克斯定理的另一种证明,并作了一些推广。
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引用次数: 0
On Some Combinatorial Properties of Oresme Hybrationals 奥勒姆杂合物的一些组合性质
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-29 DOI: 10.3390/sym15111996
Iwona Włoch, Natalia Paja, Anetta Szynal-Liana
In this paper, we study the Oresme hybrationals that generalize Oresme hybrid numbers and Oresme rational functions. We give a reccurence relation and a generating function for Oresme hybrationals. Moreover, we give some of their properties, among others, Binet formulas and general bilinear index-reduction formulas, through which we can obtain Catalan-, Cassini-, Vajda-, and d’Ocagne-type identities.
本文研究了推广oreme杂数和oreme有理函数的oreme杂数。给出了oreme杂化的递推关系和生成函数。此外,我们还给出了它们的一些性质,其中包括Binet公式和一般双线性指数约简公式,通过它们我们可以得到Catalan-、Cassini-、Vajda-和d ' ocagne型恒等式。
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引用次数: 0
Learning by Autonomous Manifold Deformation with an Intrinsic Deforming Field 具有内禀变形场的自治流形变形学习
3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2023-10-29 DOI: 10.3390/sym15111995
Xiaodong Zhuang, Nikos Mastorakis
A self-organized geometric model is proposed for data dimension reduction to improve the robustness of manifold learning. In the model, a novel mechanism for dimension reduction is presented by the autonomous deforming of data manifolds. The autonomous deforming vector field is proposed to guide the deformation of the data manifold. The flattening of the data manifold is achieved as an emergent behavior under the virtual elastic and repulsive interaction between the data points. The manifold’s topological structure is preserved when it evolves to the shape of lower dimension. The soft neighborhood is proposed to overcome the uneven sampling and neighbor point misjudging problems. The simulation experiment results of data sets prove its effectiveness and also indicate that implicit features of data sets can be revealed. In the comparison experiments, the proposed method shows its advantage in robustness.
为了提高流形学习的鲁棒性,提出了一种自组织的几何降维模型。该模型通过数据流形的自主变形,提出了一种新的降维机制。提出了自主变形向量场来指导数据流形的变形。数据流形的平坦化是在数据点之间的虚拟弹性和斥力相互作用下的一种紧急行为。当流形演化为低维形状时,流形的拓扑结构保持不变。为了克服采样不均匀和邻域点误判问题,提出了软邻域算法。数据集的仿真实验结果证明了该方法的有效性,也表明该方法可以揭示数据集的隐式特征。对比实验表明,该方法具有较好的鲁棒性。
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引用次数: 0
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Symmetry-Basel
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