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Comprehensive analysis on the existence and uniqueness of solutions for fractional q-integro-differential equations 分数 q-integro 微分方程解的存在性和唯一性综合分析
Pub Date : 2024-07-24 DOI: 10.1007/s11227-024-06305-4
Zaki Mrzog Alaofi, K. R. Raslan, Amira Abd-Elall Ibrahim, Khalid K. Ali

In this work, we study the coupled system of fractional integro-differential equations, which includes the fractional derivatives of the Riemann–Liouville type and the fractional q-integral of the Riemann–Liouville type. We focus on the utilization of two significant fixed-point theorems, namely the Schauder fixed theorem and the Banach contraction principle. These mathematical tools play a crucial role in investigating the existence and uniqueness of a solution for a coupled system of fractional q-integro-differential equations. Our analysis specifically incorporates the fractional derivative and integral of the Riemann–Liouville type. To illustrate the implications of our findings, we present two examples that demonstrate the practical applications of our results. These examples serve as tangible scenarios where the aforementioned theorems can effectively address real-world problems and elucidate the underlying mathematical principles. By leveraging the power of the Schauder fixed theorem and the Banach contraction principle, our work contributes to a deeper understanding of the solutions to coupled systems of fractional q-integro-differential equations. Furthermore, it highlights the potential practical significance of these mathematical tools in various fields where such equations arise, offering a valuable framework for addressing complex problems.

在这项工作中,我们研究了分数积分微分方程耦合系统,其中包括黎曼-黎奥维尔类型的分数导数和黎曼-黎奥维尔类型的分数 q 积分。我们的重点是利用两个重要的定点定理,即 Schauder 定点定理和巴拿赫收缩原理。这些数学工具在研究分数 q-integro 微分方程耦合系统解的存在性和唯一性方面发挥着至关重要的作用。我们的分析特别纳入了黎曼-刘维尔类型的分数导数和积分。为了说明我们研究结果的意义,我们举了两个例子来展示我们结果的实际应用。这些例子是上述定理能够有效解决实际问题并阐明基本数学原理的具体场景。通过利用绍德固定定理和巴拿赫收缩原理的力量,我们的工作有助于加深对分数 q-integro 微分方程耦合系统解的理解。此外,它还强调了这些数学工具在出现此类方程的各个领域的潜在实际意义,为解决复杂问题提供了一个宝贵的框架。
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引用次数: 0
On the continuous probability distribution attribute weight of belief rule base model 论信念规则基础模型的连续概率分布属性权重
Pub Date : 2024-07-23 DOI: 10.1007/s11227-024-06363-8
Yunyi Zhang, Hongbin Huang, Ye Du, Wei He

In current researches on belief rule base (BRB), input parameters are tended to be expressed in the form of quantitative values through expert knowledge combined with optimization methods. A singular quantitative value fails to capture the statistical properties, leading to irrational outcomes. Therefore, an attempt on attribute weights is made in this paper, and a new model with probability distribution attribute weights (pdw) called BRB-pdw is proposed. The combination of two attributes is in detail discussed, where attribute weights are described as random variables with specific probability distribution. To characterize the output of probability distribution attribute weight, a new concept of expectation of activation weight is proposed. In addition, the BRB-pdw is extended to multiple attributes to demonstrate its universality. Furthermore, fundamental properties and characteristics of the BRB-pdw are further validated by rigorous mathematical derivation. Finally, practicability of the BRB-pdw is validated with NASA lithium battery open dataset, and experiments show that the BRB-pdw model is more robust while maintaining precision.

在目前关于信念规则库(BRB)的研究中,输入参数往往通过专家知识结合优化方法以量化值的形式表示。单一的量化值无法捕捉统计特性,导致结果不合理。因此,本文对属性权重进行了尝试,并提出了一种具有概率分布属性权重(pdw)的新模型,称为 BRB-pdw。本文详细讨论了两个属性的组合,其中属性权重被描述为具有特定概率分布的随机变量。为了描述概率分布属性权重的输出特征,提出了激活权重期望值的新概念。此外,还将 BRB-pdw 扩展到多个属性,以证明其普遍性。此外,通过严格的数学推导,进一步验证了 BRB-pdw 的基本属性和特点。最后,BRB-pdw 的实用性通过 NASA 锂电池开放数据集进行了验证,实验表明 BRB-pdw 模型在保持精度的同时更加稳健。
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引用次数: 0
A mini I2C bus interface circuit design and its VLSI implementation 微型 I2C 总线接口电路设计及其 VLSI 实现
Pub Date : 2024-07-23 DOI: 10.1007/s11227-024-06370-9
Caixia Huang, Sen Yang

The existing I2C interfaces require significant CPU intervention for data communication. In SOC systems, when using internally integrated I2C modules as masters, software control of I/O ports is necessary to emulate the I2C protocol for data transmission. This paper proposes a Mini I2C bus interface circuit design scheme that supports both master and slave modes. The I2C interface features minimal CPU intervention during data transmission, ease of use, small circuit area, and low power consumption. Additionally, the internal state machine design employs independent finite state machines (FSMs) for master and slave modes, enabling flexible configuration of the I2C module to operate in either mode. In comparison to reference (ShenZhen in Microelectronics Technology CO.BJ8M306A, Datasheet.2019.12.2., 2019), the proposed I2C solution reduces CPU instructions by 50% during data transmission, and by 33% compared to reference (GigaDevice Semiconductor Inc. GD32F1x0, Datasheet, 2022). After DC synthesis, the proposed design occupies only 14% of the area and consumes only 3.6% of the power of the Open Source I2C Design (Forencich in verilog-i2c. GitHub repository. Retrieved from https://github.com/alexforencich/verilog-i2c, n.d.). Therefore, this design scheme is better suited for low-power systems. The proposed design was validated through simulation using Xilinx ISE 14.7 with a SPARTAN 3 FPGA model xc3s500e-5pq208, and finally implemented using Huahong 95 nm CMOS technology, demonstrating high integration and low power consumption.

现有的 I2C 接口需要 CPU 进行大量干预才能进行数据通信。在 SOC 系统中,当使用内部集成的 I2C 模块作为主站时,需要对 I/O 端口进行软件控制,以模拟 I2C 协议进行数据传输。本文提出了一种 Mini I2C 总线接口电路设计方案,同时支持主模式和从模式。该 I2C 接口在数据传输过程中对 CPU 的干预极少,使用方便,电路面积小,功耗低。此外,内部状态机设计采用了主模式和从模式的独立有限状态机(FSM),可灵活配置 I2C 模块,使其在任一模式下运行。与参考文献(深圳市中微电子技术有限公司,BJ8M306A,Datasheet.2019.12.2.,2019)相比,所提出的 I2C 解决方案在数据传输过程中减少了 50% 的 CPU 指令,与参考文献(GigaDevice Semiconductor Inc.)经过直流综合后,拟议设计的占地面积仅为开源 I2C 设计的 14%,功耗仅为 3.6%(Forencich 在 verilog-i2c.GitHub 存储库。取自 https://github.com/alexforencich/verilog-i2c, n.d.)。因此,这种设计方案更适合低功耗系统。通过使用 Xilinx ISE 14.7 和 SPARTAN 3 FPGA 型号 xc3s500e-5pq208 进行仿真,验证了所提出的设计方案,并最终使用华虹 95 nm CMOS 技术实现了该设计方案,体现了高集成度和低功耗的特点。
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引用次数: 0
A taxonomy of unsupervised feature selection methods including their pros, cons, and challenges 无监督特征选择方法分类,包括其优点、缺点和挑战
Pub Date : 2024-07-22 DOI: 10.1007/s11227-024-06368-3
Rajesh Dwivedi, Aruna Tiwari, Neha Bharill, Milind Ratnaparkhe, Alok Kumar Tiwari

In pattern recognition, statistics, machine learning, and data mining, feature or attribute selection is a standard dimensionality reduction method. The goal is to apply a set of rules to select essential and relevant features from the original dataset. In recent years, unsupervised feature selection approaches have garnered significant attention across various research fields. This study presents a well-organized summary of the latest and most effective unsupervised feature selection techniques in the scientific literature. We introduce a taxonomy of these strategies, elucidating their significant features and underlying principles. Additionally, we outline the pros, cons, challenges, and practical applications of the broad categories of unsupervised feature selection approaches reviewed in the literature. Furthermore, we conducted a comparison of several state-of-the-art unsupervised feature selection methods through experimental analysis.

在模式识别、统计学、机器学习和数据挖掘中,特征或属性选择是一种标准的降维方法。其目的是从原始数据集中应用一组规则来选择基本的相关特征。近年来,无监督特征选择方法在各个研究领域都获得了极大的关注。本研究对科学文献中最新、最有效的无监督特征选择技术进行了条理清晰的总结。我们对这些策略进行了分类,阐明了它们的重要特征和基本原理。此外,我们还概述了文献中评述的几大类无监督特征选择方法的优缺点、挑战和实际应用。此外,我们还通过实验分析对几种最先进的无监督特征选择方法进行了比较。
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引用次数: 0
Multimodal heterogeneous graph entity-level fusion for named entity recognition with multi-granularity visual guidance 利用多粒度视觉引导进行命名实体识别的多模态异构图实体级融合
Pub Date : 2024-07-22 DOI: 10.1007/s11227-024-06347-8
Yunchao Gong, Xueqiang Lv, Zhu Yuan, ZhaoJun Wang, Feng Hu, Xindong You

Multimodal named entity recognition (MNER) is an emerging foundational task in natural language processing. However, existing methods have two main limitations: 1) previous methods have focused on the visual representation of the entire image or target objects. However, they overlook the fine-grained semantic correspondence between entities and visual target objects, or ignore the visual cues of the overall scene and background details in the image. 2) Existing methods have not effectively overcome the semantic gap between different modalities due to the heterogeneity between text and images. To address these issues, we propose a novel multimodal heterogeneous graph entity-level fusion method for MNER (HGMVG) to achieve cross-modal feature interaction from coarse to fine between text and images under the guidance of visual information at different granularities, which can improve the accuracy of named entity recognition. Specifically, to resolve the first issue, we cascade cross-modal semantic interaction information between text and vision at different visual granularities to obtain a comprehensive and effective multimodal representation. For the second issue, we describe the precise semantic correspondences between entity-level words and visual target objects via multimodal heterogeneous graphs, and utilize heterogeneous graph attention networks to achieve cross-modal fine-grained semantic interactions. We conduct extensive experiments on two publicly available Twitter datasets, and the experimental results demonstrate that HGMVG outperforms the current state-of-the-art models in the MNER task.

多模态命名实体识别(MNER)是自然语言处理中一项新兴的基础任务。然而,现有方法有两个主要局限:1) 以往的方法侧重于整个图像或目标对象的视觉表示。但是,它们忽略了实体与视觉目标对象之间的细粒度语义对应关系,或者忽略了图像中整体场景和背景细节的视觉线索。2) 由于文本和图像之间的异质性,现有方法无法有效克服不同模态之间的语义差距。针对这些问题,我们提出了一种新颖的 MNER 多模态异构图实体级融合方法(HGMVG),在不同粒度的视觉信息指导下,实现文本与图像之间从粗到细的跨模态特征交互,从而提高命名实体识别的准确率。具体来说,为了解决第一个问题,我们在不同的视觉粒度上级联文本与视觉之间的跨模态语义交互信息,从而获得全面有效的多模态表征。针对第二个问题,我们通过多模态异构图描述了实体层词语与视觉目标对象之间的精确语义对应关系,并利用异构图注意力网络实现了跨模态细粒度语义交互。我们在两个公开的 Twitter 数据集上进行了大量实验,实验结果表明 HGMVG 在 MNER 任务中的表现优于目前最先进的模型。
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引用次数: 0
Reserve policy-aware VM positioning based on prediction in multi-cloud environment 多云环境中基于预测的预留策略感知虚拟机定位
Pub Date : 2024-07-22 DOI: 10.1007/s11227-024-06349-6
Elahe Kholdi, Seyed Morteza Babamir

The proper positioning of Virtual Machines (VMs) on the hosts in a cloud environment reduces the need for the VM migration and its consequences. The positioning becomes more significant when there exists a multi-cloud environment where the hosts exist on multi-site datacenters. Based on user’s requests, VMs should be dynamically positioned; however, if the users’ future demands can be predicted, the positioning can be adaptively done in advance, which is both more cost-effective for users and more requests are met. To this end, at the request of their users, VMs’ providers can reserve VMs for the users’ future needs. However, if some users would not like to reserve VMs or if the number of reserved VMs is less than users’ needs, VMs should be allocated on demand. However, the reserve or on-demand policy cannot be applied freely if users have constraints and objectives. Among others, cost of using resources and response time are the most important users’ objectives, and load balancing hosts and datacenters for the proper resource utilization is the most important providers’ objective. To consider the reserve policy, a multi-layered model is presented in this paper where a multi-objective optimization is used to meet the objectives. The proposed model was applied to Google, Wikipedia, and NASA datasets. The results show: (1) The number of predicted VMs for reserve is closer to the real VMs requested in datasets NASA, Wikipedia, and Google than the related work. This was due to the use of a dynamic neural network, called NARX; (2) objective cost is regarded more than the related work, while it respects more trade-off between the user’s objectives and provider’s one; (3) placement of VMs on hosts is done in a balanced way, leading to the reduction of overloaded hosts and response time.

在云环境中,虚拟机(VM)在主机上的正确定位可减少虚拟机迁移的需要及其后果。在多云环境中,主机位于多站点数据中心,因此定位变得更加重要。虚拟机应根据用户的要求进行动态定位;但如果能预测用户的未来需求,则可以提前自适应地进行定位,这对用户来说更经济实惠,也能满足更多要求。为此,虚拟机提供商可以应用户的要求,为用户的未来需求预留虚拟机。但是,如果有些用户不愿意预留虚拟机,或者预留的虚拟机数量少于用户的需求,则应按需分配虚拟机。但是,如果用户有限制条件和目标,就不能随意采用预留或按需分配政策。其中,使用资源的成本和响应时间是用户最重要的目标,而为合理利用资源而平衡主机和数据中心的负载则是提供商最重要的目标。为了考虑储备政策,本文提出了一个多层模型,其中使用了多目标优化来实现目标。提出的模型被应用于 Google、维基百科和 NASA 数据集。结果表明:(1) 与相关研究相比,NASA、维基百科和谷歌数据集的预测预留虚拟机数量更接近实际申请的虚拟机数量。这是由于使用了一种名为 NARX 的动态神经网络;(2)与相关研究相比,该模型更重视目标成本,同时更尊重用户目标和提供商目标之间的权衡;(3)以均衡的方式将虚拟机放置在主机上,从而减少了主机过载和响应时间。
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引用次数: 0
Hybrid similarity measure-based image indexing and Gradient Ladybug Beetle optimization for retrieval of brain tumor using MRI 基于相似度量的混合图像索引和梯度瓢虫优化技术用于利用核磁共振成像检索脑肿瘤
Pub Date : 2024-07-21 DOI: 10.1007/s11227-024-06350-z
Dhanya K. Sudhish, Latha R. Nair, Shailesh Sivan

Clinical images of brain tumors (BT) are crucial in the diagnostic process and contain substantial medical information. In neurosurgery and neurology, AI’s application in retrieving and analyzing brain tumors leads to earlier, more accurate diagnoses and improves treatment planning. However, the accuracy of the existing methods for the physical retrieval of similar images needs to be improved. This paper introduces Gradient Ladybug Beetle Optimization-based LeNet (GLBO-LeNet) for the retrieval of brain tumor magnetic resonance images (MRI) from the medical datasets. This approach processes both input MRI images and query MRIs using the same pipeline. Tumor segmentation process is performed on these images using a 3D Convolutional Neural Network (CNN). Features are extracted from segmented images, incorporating a novel feature extraction method, LTDP based on Discrete Wavelet Transform (DWT) with Pyramid Histogram of Orientation (PHoG). The extracted features are utilized for tumor classification using LeNet-5, tuned by Gradient Ladybug Beetle Optimization (GLBO). The classified outputs from input MRI images are indexed in an image database. Similar images are retrieved and ranked using a proposed hybrid similarity measure, enabling efficient brain MRI image retrieval. In this study, the GLBO-LeNet-based brain tumor MRI retrieval system achieved an accuracy of 91.5%, a Prue-positive rate (TPR) of 91.9%, a True-negative rate (TNR) of 92.5%, a Positive predictive value (PPV) of 90.8% and a Negative predictive value (NPV) of 89.4%.

脑肿瘤(BT)的临床图像在诊断过程中至关重要,其中包含大量医学信息。在神经外科和神经内科中,人工智能在脑肿瘤检索和分析中的应用可使诊断更早、更准确,并改善治疗计划。然而,现有的相似图像物理检索方法的准确性有待提高。本文介绍了基于梯度瓢虫甲虫优化的 LeNet(GLBO-LeNet),用于从医疗数据集中检索脑肿瘤磁共振图像(MRI)。该方法使用相同的管道处理输入的磁共振图像和查询的磁共振图像。使用三维卷积神经网络(CNN)对这些图像进行肿瘤分割处理。从分割后的图像中提取特征,采用一种新颖的特征提取方法,即基于离散小波变换(DWT)和金字塔方位直方图(PHoG)的 LTDP。通过梯度瓢虫优化(GLBO)调整的 LeNet-5 将提取的特征用于肿瘤分类。输入核磁共振图像的分类输出被索引到图像数据库中。使用所提出的混合相似度量对相似图像进行检索和排序,从而实现高效的脑部核磁共振图像检索。在这项研究中,基于 GLBO-LeNet 的脑肿瘤 MRI 检索系统的准确率达到 91.5%,阳性率 (TPR) 为 91.9%,阴性率 (TNR) 为 92.5%,阳性预测值 (PPV) 为 90.8%,阴性预测值 (NPV) 为 89.4%。
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引用次数: 0
ERR-UWSN: energy-efficient and reliable routing for void hole mitigation in underwater wireless sensor networks ERR-UWSN:用于缓解水下无线传感器网络空洞的高能效可靠路由
Pub Date : 2024-07-20 DOI: 10.1007/s11227-024-06353-w
Mojtaba Ahmadian Mahmoudabadi, Mehdi Jafari Shahbazzadeh, Malihe Hashemipour

Ongoing research is focused on underwater wireless sensor networks (UWSNs), which hold great promise for various applications to improve human lives. Many sensor nodes have been strategically positioned in rivers and oceans to closely monitor and analyze the underwater ecosystem. UWSNs face significant challenges due to energy limitations, unreliable communication channels, hole occurrence, and low packet delivery ratio. This paper introduces effective energy routing, hole detection and mitigation, and reliable delivery schemes to address these issues. In ERR-UWSN, a single-path routing strategy optimizes energy consumption by selecting the best-sending node through a unique weight function. However, the reliability of this approach is compromised in the harsh and unpredictable submarine environment. To overcome this limitation, co-ERR-UWSN combines cooperative routing with relay nodes between source–destination pairs. A carefully selected weight function ensures low energy consumption, reliability, and optimal node selection for data transmission. The simulation results show that ERR-UWSN is better than CEER, Co-EPRR, and FB-DBR in terms of residual energy, end-to-end delay, energy consumption, and total number of alive nodes. Also, Co-ERR-UWSN has a special advantage in the PDR criterion compared to other schemes.

水下无线传感器网络(UWSN)是目前研究的重点,它在改善人类生活的各种应用中大有可为。许多传感器节点已被战略性地部署在河流和海洋中,以密切监测和分析水下生态系统。由于能量限制、通信信道不可靠、空洞出现和数据包传送率低,UWSNs 面临着巨大挑战。本文介绍了有效的能量路由、漏洞检测和缓解以及可靠的传送方案,以解决这些问题。在ERR-UWSN中,单路径路由策略通过独特的权重函数选择最佳发送节点来优化能量消耗。然而,在恶劣和不可预测的海底环境中,这种方法的可靠性大打折扣。为了克服这一限制,co-ERR-UWSN 将合作路由与源-目的对之间的中继节点相结合。精心选择的权重函数确保了低能耗、可靠性和数据传输的最佳节点选择。仿真结果表明,ERR-UWSN 在剩余能量、端到端延迟、能量消耗和存活节点总数方面优于 CEER、Co-EPRR 和 FB-DBR。此外,与其他方案相比,Co-ERR-UWSN 在 PDR 准则方面具有特殊优势。
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引用次数: 0
The super edge-connectivity of direct product of a graph and a cycle 图与循环直接乘积的超边连接性
Pub Date : 2024-07-20 DOI: 10.1007/s11227-024-06352-x
Sijia Guo, Xiaomin Hu, Weihua Yang, Shuang Zhao

The super edge-connectivity of a connected graph G, denoted by ({lambda }'left( G right) ), if exists, is the minimum number of edges whose deletion disconnects the graph such that each component has no isolated vertices. The direct product of graphs G and H, denoted by (Gtimes H), is the graph with vertex set (Vleft( Gtimes H right) =Vleft( G right) times Vleft( H right) ), where two vertices (left( {{u}_{1}},{{v}_{1}} right) ) and (left( {{u}_{2}},{{v}_{2}} right) ) are adjacent in (Gtimes H) if and only if ({{u}_{1}}{{u}_{2}}in Eleft( G right) ) and ({{v}_{1}}{{v}_{2}}in Eleft( H right) ). In this paper, it is proved that ({lambda }'left( Gtimes {{C}_{n}} right) = min { 2n{lambda }'left( G right) ,2underset{xyin Eleft( G right) }{{min }},left( {{deg }_{G}}left( x right) +{{deg }_{G}}left( y right) right) -2 }) for (i) any connected graph G with (left| G right| le n) or (Delta left( G right) le n-1) and an odd cycle ({{C}_{n}}), or (ii) any split graph G with (left| G right| le n) or (Delta left( G right) le n-1) and a cycle ({{C}_{n}}).

如果存在连通图 G 的超边连通性,用 ({lambda }'left( G right) )来表示,它是删除使图断开连接的边的最小数目,这样每个部分就没有孤立顶点了。图 G 和 H 的直积,用 (Gtimes H) 表示,是顶点集为 (Vleft( Gtimes Hright) =Vleft( Gright) times Vleft( Hright) ) 的图,其中两个顶点 (left( {{u}_{1}}、{{v}_{1}} 右)和({{u}_{2}}、{当且仅当({{u}_{1}}{{u}_{2}}in Eleft( G right) )和({{v}_{1}}{{v}_{2}}in Eleft( H right) )在 (Gtimes H) 中相邻。本文证明了({lambda }'left( Gtimes {{C}_{n}} right) = min { 2n{lambda }'left( Gright) ,2underset{xyin Eleft( Gright) }{{min }})、left( {{deg }_{G}}left( x right) +{{deg }_{G}}left( y right) right) -2 }) for (i) any connected graph G with (left| G right| le n) or (Delta left( G right) le n-1) and an odd cycle ({{C}_{n}})、或 (ii) 任何分裂图 G,具有 (left| G right| le n) 或 (Delta left( G right) le n-1) 和一个循环 ({{C}_{n}})。
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引用次数: 0
Deriving change-prone thresholds from software evolution using ROC curves 利用 ROC 曲线从软件进化中得出易变阈值
Pub Date : 2024-07-20 DOI: 10.1007/s11227-024-06366-5
Raed Shatnawi

Software evolution measurement is required to control software costs and aid in the development of cost-effective software. Early detection of potential changes gives developers time to plan for change. Simple techniques to detect the change-proneness of classes are required such as thresholds, particularly in incremental software development. In this study, we propose to derive thresholds to detect the change-proneness of classes using ROC analysis. The analysis is conducted on the evolution of five systems for six object-oriented metrics, Chidamber and Kemerer. Thresholds are considered in software evolution in three intervals: 6 months, 12 months, and 3 years. Thresholds are reported for four metrics that can predict change-proneness. Similar thresholds are reported at 6 and 12 months. For the same metrics, fault-proneness thresholds are identified, and the results are compared to their counterparts in change-proneness thresholds. The change-proneness thresholds derived are smaller and identify more classes for further investigation.

要控制软件成本并帮助开发具有成本效益的软件,就必须进行软件演进测量。对潜在变化的早期检测可以为开发人员提供时间来制定变更计划。需要一些简单的技术来检测类的易变性,如阈值,尤其是在增量软件开发中。在本研究中,我们建议使用 ROC 分析来推导阈值,以检测类的易变性。分析针对 Chidamber 和 Kemerer 等六个面向对象指标的五个系统的演化进行。阈值在软件进化中分为三个时间间隔:6 个月、12 个月和 3 年。报告了可预测易变性的四个指标的阈值。报告了 6 个月和 12 个月的类似阈值。对于相同的指标,还确定了故障倾向性阈值,并将结果与相应的变化倾向性阈值进行了比较。得出的变化倾向性阈值较小,可识别出更多需要进一步调查的类别。
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引用次数: 0
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The Journal of Supercomputing
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