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Picture Fuzzy Knowledge Measure with Application to MADM 图片模糊知识测度及其在MADM中的应用
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.038
Devender Kumar Sharma, Koushal Singh, Surender Singh
The complementary dual of entropy is termed “knowledge measure” in recent studies concerning fuzzy and intuitionistic fuzzy sets. A picture fuzzy set is an extended and generalized form of fuzzy and intuitionistic fuzzy sets. The broader perspective of the picture fuzzy set inculcated the possibility of the formulation of a picture fuzzy knowledge measure and its potential implications. In this paper, we set up an axiomatic framework for obtaining a complementary dual of the picture fuzzy entropy. Subsequently, we derive two new knowledge measures that strictly follow the axiomatic requirements. Some empirical investigations establish the advantages of our proposed knowledge measure over the existing measures. We also present a novel multiple attribute decision-making (MADM) algorithm, wherein the proposed knowledge measure computes attribute weights and exhibits encouraging performance. The comparative analysis shows the potential implications and advantages of the proposed measures.
在最近关于模糊集和直觉模糊集的研究中,熵的互补对偶被称为“知识测度”。图片模糊集是模糊和直觉模糊集的一种扩展和广义形式。图片模糊集的更广泛的视角灌输了制定图片模糊知识测度的可能性及其潜在含义。在本文中,我们建立了一个公理化的框架来获得图像模糊熵的互补对偶。随后,我们推导出两个严格遵循公理要求的新知识测度。一些实证调查证实了我们提出的知识测度相对于现有测度的优势。我们还提出了一种新的多属性决策(MADM)算法,其中所提出的知识测度计算属性权重并表现出令人鼓舞的性能。比较分析显示了拟议措施的潜在影响和优势。
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引用次数: 0
Probabilistic Audit in a Revenue Sharing Contract Under Asymmetric Demand Information 需求信息不对称条件下收益共享契约的概率审计
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.037
J. Bhattacharyya, R. Marathe, G. Srinivasan
A two-echelon supply chain comprising a supplier and a retailer, coordinated by a revenue-sharing contract has been studied. The supplier knows the realized demand only from a sales report submitted by the retailer at the end of each decision period. Possession of private information about the market demand allows the retailer to under-report sales. To protect revenue loss from this under-reporting, the supplier uses audit probabilistically to check the retailer’s dishonesty. Unlike designing a mechanism for the supplier to elicit private information from the retailer, which has been predominantly discussed in the literature, this study proposes a policy where the players can improve their expected profit compared to what they would have earned when the retailer had to reveal truthful information. Our study finds that the supplier benefits from the retailer’s dishonesty, provided dishonesty is limited with the help of a probabilistic audit process. Both players' expected profits are higher in our proposed policy than what they would earn under a truth-inducing policy. These findings suggest that future studies focus on achieving social welfare instead of concentrating only on truth-inducing mechanisms. A numerical analysis of the optimization problem is performed to find the optimal audit probability. Our results will help a manager in a supplying firm design a revenue-sharing contract when she cannot observe her retailer’s revenue without an audit.
研究了一个由供应商和零售商组成的两级供应链,该供应链采用收益共享契约进行协调。供应商仅从零售商在每个决策期结束时提交的销售报告中了解已实现的需求。掌握了市场需求的私人信息,零售商就可以少报销售额。为了避免少报造成的收入损失,供应商使用审计概率来检查零售商的不诚实行为。与设计供应商从零售商那里获取私人信息的机制(这在文献中已被主要讨论)不同,本研究提出了一种策略,在该策略中,参与者可以提高他们的预期利润,而不是当零售商不得不披露真实信息时他们将获得的利润。我们的研究发现,供应商受益于零售商的不诚实行为,只要在概率审计过程的帮助下,不诚实行为受到限制。在我们提出的政策中,双方参与者的预期利润都高于他们在诱导真相政策下的预期利润。这些发现表明,未来的研究将重点放在实现社会福利上,而不仅仅是关注诱导真相的机制。对优化问题进行数值分析,求出最优审计概率。我们的研究结果将帮助供应企业的管理者在不进行审计就无法观察到零售商收入的情况下设计收益分享合同。
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引用次数: 0
Does Productivity Really Matter for Profitability? Evidence from a Publicly Owned Transport Corporation 生产率对盈利真的重要吗?来自一家公共运输公司的证据
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.033
S. Singh, Vijay Singh
For many years now, a variety of studies have proven the strong relationship between productivity and profitability. However, simply earning a profit does not necessarily mean that the firm is productive. Many highly productive firms face financial losses, whereas less productive ones’ experience significant profits. This paper examines the dynamics of how productivity really matters for profitability. The paper uses a non-parametric index number approach to estimate the productivity, profitability, and price performance of a publicly owned, once world’s largest, bus transport corporation operating in the Indian state of Andhra Pradesh to examine these dynamics. The paper finds that when public organizations are constrained from raising the prices of their services, productivity gains may not be adequate to counterbalance the impact of rising prices of major inputs. Moreover, loss-making organizations, even if they are publicly owned, would find it hard to improve both the quality and quantity of their services.
多年来,各种各样的研究已经证明了生产力和盈利能力之间的密切关系。然而,仅仅赚取利润并不一定意味着公司是有生产力的。许多高生产率的公司面临财务损失,而低生产率的公司却获得了可观的利润。本文考察了生产率对盈利能力的影响。本文使用非参数指数方法来估计在印度安得拉邦运营的一家曾经是世界上最大的公共汽车运输公司的生产率、盈利能力和价格表现,以检验这些动态。本文发现,当公共组织无法提高其服务价格时,生产率的提高可能不足以抵消主要投入价格上涨的影响。此外,亏损的组织,即使它们是公有的,也很难同时提高服务的质量和数量。
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引用次数: 0
Dynamic Analysis and Control of Redundant Manipulator for Agricultural Applications in a Virtual Environment 虚拟环境下农业应用冗余度机械手的动力学分析与控制
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.041
A. Reddy, V. V. M. J. S. Chembuly, V. Rao
In the development of automated manipulators for fruit and vegetable picking technologies, the challenge of ensuring an efficient, stable, and loss-free picking process has been a complex problem. In such an environment, manipulators require the most efficient and robust control for effective operations. In this paper, a serial 9-DOF redundant manipulator (1P8R) is proposed with various controllers for trajectory tracking problems in agricultural applications. The dynamic analysis of redundant manipulator has been carried out using the Recursive Newton-Euler method. The joint configurations of the robot are determined using optimization techniques for specific Task Space Locations (TSLs) by avoiding obstacles. The process of generating joint trajectories has been implemented by considering the cubic polynomial function. For the task of controlling the robot trajectory tracking in the virtual agricultural environment, different combinations of Proportional (P), Integrative (I), Derivative (D), and Feed-Forward (FF) controllers are employed, and a comparative analysis has been performed among these controllers. To verify the performance of the manipulator, simulations are carried out in a virtual environment using Simulink software. Results show that the robot is able to reach specific TSL accurately with better control and it is found that the implementation of Feed-Forward and PID-CTC controllers has better performance in a complex environment.
在果蔬采摘自动化机械手的发展过程中,如何保证采摘过程的高效、稳定和无损耗一直是一个复杂的问题。在这样的环境下,机械臂需要最高效和鲁棒的控制来实现有效的操作。针对农业应用中的轨迹跟踪问题,提出了一种具有多种控制器的串联9自由度冗余机械手(1P8R)。采用递推牛顿-欧拉法对冗余度机械手进行了动力学分析。针对特定的任务空间位置(TSLs),采用避障优化技术确定机器人的关节构型。通过考虑三次多项式函数实现了联合轨迹的生成过程。针对虚拟农业环境中机器人轨迹跟踪的控制任务,采用了比例控制器(P)、积分控制器(I)、导数控制器(D)和前馈控制器(FF)的不同组合,并对这些控制器进行了对比分析。为了验证机械手的性能,利用Simulink软件在虚拟环境中进行了仿真。结果表明,在较好的控制下,机器人能够准确地达到特定的TSL,并且发现前馈和PID-CTC控制器的实现在复杂环境下具有更好的性能。
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引用次数: 0
System-Level Dependability Analysis of Bitcoin under Eclipse and 51% Attacks Eclipse和51%攻击下比特币的系统级可靠性分析
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.031
Chencheng Zhou, L. Xing, Qisi Liu, Yuzhu Li
Bitcoin is an electronic cryptocurrency developed based on Blockchain technology. With its decentralized feature, it has become incredibly popular since its invention. However, the Bitcoin network suffers from 51% attacks, where if malicious attackers’ control over half of the computing power, they are able to rewrite the network. The attackers are capable of doing so by initiating the Eclipse attack first, which aims to monopolize all communications from and to a controlled Bitcoin node. In this paper, we model and analyze the dependability of the Bitcoin network subject to the Eclipse and 51% attacks. We propose a hierarchical model that encompasses a continuous-time Markov chain method for the node-level dependability analysis and a multi-valued decision diagram method for the system-level dependability analysis. Detailed case studies on Bitcoin systems with homogeneous and heterogeneous nodes are conducted to demonstrate the proposed model and investigate the impacts of several critical parameters on Bitcoin network dependability.
比特币是一种基于区块链技术开发的电子加密货币。由于其去中心化的特点,它自发明以来变得非常受欢迎。然而,比特币网络遭受51%的攻击,如果恶意攻击者控制了一半以上的计算能力,他们就能够重写网络。攻击者可以通过首先发起Eclipse攻击来做到这一点,Eclipse攻击的目的是垄断来自和到受控比特币节点的所有通信。在本文中,我们建模并分析了受Eclipse和51%攻击的比特币网络的可靠性。我们提出了一种分层模型,其中包括用于节点级可靠性分析的连续时间马尔可夫链方法和用于系统级可靠性分析的多值决策图方法。对具有同质和异构节点的比特币系统进行了详细的案例研究,以验证所提出的模型,并研究了几个关键参数对比特币网络可靠性的影响。
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引用次数: 0
Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback 具有可选服务、不可靠服务器、犹豫和反馈的重试排队系统的性能分析
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.044
V. Saravanan, V. Poongothai, P. Godhandaraman
This paper considers a Markovian retrial queueing system with an optional service, unreliable server, balking and feedback. An arriving customer can avail of immediate service if the server is free. If the potential customer encounters a busy server, it may either join the orbit or balk the system. The customers may retry their request for service from the orbit after a random amount of time. Each customer gets the First Essential Service (FES). After the completion of FES, the customers may seek the Second Optional Service (SOS) or leave the system. In the event of unforeseen circumstances, the server may encounter a breakdown, at which point an immediate repair process will be initiated. After the service completion, the customer may leave the system or re-join the orbit if not satisfied and demand regular service as feedback. In this investigation, the stationary queue size distributions are framed using a recursive approach. Various system performance measures are derived. The effects induced by the system parameters on the performance metrics are numerically and graphically analysed.
本文考虑了一个具有可选服务、不可靠服务器、阻塞和反馈的马尔可夫重试排队系统。如果服务器免费,到达的客户可以立即获得服务。如果潜在客户遇到繁忙的服务器,它可能会加入轨道或阻止系统。客户可以在随机的一段时间后重试他们对轨道服务的请求。每个客户都可以获得第一基本服务(FES)。FES完成后,客户可以寻求第二次可选服务(SOS)或离开系统。如果出现不可预见的情况,服务器可能会出现故障,此时将启动立即修复过程。服务完成后,如果客户不满意,可以离开系统或重新加入轨道,并要求定期服务作为反馈。在这项研究中,使用递归方法来构建平稳队列大小分布。导出了各种系统性能度量。对系统参数对性能指标的影响进行了数值和图形分析。
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引用次数: 0
Approximation of the Time-Fractional Klein-Gordon Equation using the Integral and Projected Differential Transform Methods 用积分和投影微分变换方法逼近时间分数阶Klein-Gordon方程
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.039
Manoj K. Singh
In the present investigation, a new integral transform method (NITM) and the projected differential transform method (PDTM) are used to give an analytical solution to the time-fractional Klein-Gordon (TFKG) equation. The time-fractional derivative is used in the Caputo sense. The huge advantage of the suggested approach is the ease with which the nonlinear term can be effortlessly treated by projected differential transform without using Adomian's and He's polynomials. The solution of fractional partial differential equations using the aforementioned method is very simple and straightforward. The efficiency and accuracy of the proposed method are demonstrated by three examples, and the effects of various fractional Brownian motions are demonstrated graphically.
本文采用一种新的积分变换方法(NITM)和投影微分变换方法(PDTM)对时间分数阶Klein-Gordon(TFKG)方程进行了解析求解。时间分数导数是在Caputo意义上使用的。所提出的方法的巨大优点是,在不使用Adomian和He多项式的情况下,可以通过投影微分变换轻松地处理非线性项。使用上述方法求解分数阶偏微分方程是非常简单和直接的。通过三个例子证明了该方法的有效性和准确性,并用图形说明了各种分数布朗运动的影响。
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引用次数: 0
An Enhancement in Single-Image Dehazing Employing Contrastive Attention over Variational Auto-Encoder (CA-VAE) Method 基于变分自编码器(CA-VAE)方法的对比注意增强单幅图像去雾
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.042
Sandeep Vishwakarma, Anuradha Pillai, Deepika Punj
Hazy images and videos have low contrast and poor visibility. Fog, ice fog, steam fog, smoke, volcanic ash, dust, and snow are all terrible conditions for capturing images and worsening color and contrast. Computer vision applications often fail due to image degradation. Hazy images and videos with skewed color contrasts and low visibility affect photometric analysis, object identification, and target tracking. Computer programs can classify and comprehend images using image haze reduction algorithms. Image dehazing now uses deep learning approaches. The observed negative correlation between depth and the difference between the hazy image’s maximum and lowest color channels inspired the suggested study. Using a contrasting attention mechanism spanning sub-pixels and blocks, we offer a unique attention method to create high-quality, haze-free pictures. The L*a*b* color model has been proposed as an effective color space for dehazing images. A variational auto-encoder-based dehazing network may also be utilized for training since it compresses and attempts to reconstruct input images. Estimating hundreds of image-impacting characteristics may be necessary. In a variational auto-encoder, fuzzy input images are directly given a Gaussian probability distribution, and the variational auto-encoder estimates the distribution parameters. A quantitative and qualitative study of the RESIDE dataset will show the suggested method's accuracy and resilience. RESIDE’s subsets of synthetic and real-world single-image dehazing examples are utilized for training and assessment. Enhance the structural similarity index measure (SSIM) and peak signal-to-noise ratio metrics (PSNR).
模糊图像和视频对比度低,能见度差。雾、冰雾、蒸汽雾、烟雾、火山灰、灰尘和雪都是拍摄图像的糟糕条件,会使颜色和对比度变差。由于图像的退化,计算机视觉应用经常失败。模糊图像和视频与扭曲的色彩对比和低能见度影响光度分析,目标识别和目标跟踪。计算机程序可以使用图像雾霾减少算法对图像进行分类和理解。图像去雾现在使用深度学习方法。观察到的深度与模糊图像的最大和最低颜色通道之间的差异呈负相关,这启发了我们的研究。使用跨子像素和块的对比注意机制,我们提供了一种独特的注意方法来创建高质量的无雾图像。提出了L*a*b*颜色模型作为图像去雾的有效颜色空间。基于变分自编码器的除雾网络也可用于训练,因为它压缩并尝试重建输入图像。估计数百个影响图像的特性可能是必要的。在变分自编码器中,直接给出模糊输入图像的高斯概率分布,由变分自编码器估计其分布参数。对该数据集的定量和定性研究将显示该方法的准确性和弹性。live的合成和真实单幅图像去雾示例子集被用于训练和评估。改进了结构相似度指标(SSIM)和峰值信噪比指标(PSNR)。
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引用次数: 0
Barriers to Cement Industry Towards Circular Economy 水泥工业走向循环经济的障碍
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.035
Erhan Ada, Y. Kazançoğlu, S. Mangla, U. Aydın
Cement, as the main component of concrete, is a crucial industrial product for economic development and civilization. Nevertheless, its production is highly energy-intensive, environmentally polluting, and a source of extreme CO2 emissions. For success in the transition to the circular economy and accelerating sustainable manufacturing in the cement industry, understanding and addressing the main barriers are essential. Using the above point of view, this study intends to address the challenges and barriers of the cement industry in the transition to a circular economy, define the causal relationships between these barriers, and determine the necessary practical implications to overcome the barriers. Systematic literature review and focus group study results enable a holistic model that integrates research results and business practical criteria. The DEMATEL method is used for the clarification of causal relations between factors. A total of 18 barriers in 6 clusters have been revealed to be used for managerial implications to speed up the transition to CE applications in the cement business. Out of 18 barriers, 6 were effect groups, which were the outcomes due to the remaining 12 causing barriers. The top three cause factors are an unstable waste market, lack of management competencies, and unstable macroeconomic conditions, while the leading three effect factors are revealed as giving priority to other issues, insufficient organisational structures, and deviations in product quality. Although there are many studies on CE in cement, they are concentrated on technical and laboratory studies enabling the use of different alternative materials as inputs to the cement process. Studying and revealing the barriers holding back the cement sector in the transition to CE is this study’s core contribution, making it novel and unique.
水泥作为混凝土的主要成分,是经济发展和文明建设的重要工业产品。然而,它的生产是高度能源密集型的,对环境造成污染,是极端二氧化碳排放的来源。要想成功过渡到循环经济,加快水泥行业的可持续制造业,了解和解决主要障碍至关重要。基于上述观点,本研究旨在解决水泥行业在向循环经济转型过程中面临的挑战和障碍,界定这些障碍之间的因果关系,并确定克服这些障碍的必要现实意义。系统的文献综述和焦点小组研究结果实现了一个综合研究结果和商业实践标准的整体模型。DEMATEL方法用于澄清因素之间的因果关系。据透露,6个集群共有18个障碍用于管理影响,以加快水泥业务向CE应用的过渡。在18个障碍中,有6个是效应组,这是由于其余12个障碍造成的结果。前三大原因是不稳定的废物市场、缺乏管理能力和不稳定的宏观经济条件,而前三大影响因素是优先考虑其他问题、组织结构不足和产品质量偏差。尽管有许多关于水泥中CE的研究,但它们都集中在技术和实验室研究上,从而能够使用不同的替代材料作为水泥工艺的投入。研究和揭示阻碍水泥行业向CE转型的障碍是本研究的核心贡献,使其具有新颖性和独特性。
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引用次数: 0
Dynamic Advertising-based Goodwill Incorporating Fuzzy Environment in Segment-Specific Market 细分市场中基于模糊环境的动态广告商誉
IF 1.6 Q1 Mathematics Pub Date : 2023-08-01 DOI: 10.33889/ijmems.2023.8.4.040
Pradeep Kumar, Kuldeep Chaudhary, Vijay Kumar, Vijay Singh
A new product's introduction to the market is greatly influenced by effective and enough advertising. In this paper, we have considered a problem in which the firm partitions the market into various segments to reduce costs associated with advertising and targets to maximize the total profit. By integrating single channel and differentiated advertising to segmented market, we extend Nerlove-goodwill Arrow's dynamic model in which advertising variables are control variables. It is assumed that the whole available budget is imprecise and fuzzy in nature in order to create a realistic model. Using necessity and possibility constraints, the optimal control model with fuzzy parameters is transformed into crisp form, and the Pontryagin Maximum principle is then used to solve the problem. Numerical examples are provided to support the theoretical analysis.
一种新产品推向市场在很大程度上受到有效和足够的广告的影响。在本文中,我们考虑了一个问题,即公司将市场划分为不同的细分市场,以降低与广告相关的成本,并实现总利润的最大化。通过将单一渠道和差异化广告整合到细分市场,我们扩展了Nerlove商誉Arrow的动态模型,其中广告变量是控制变量。为了创建一个现实的模型,假设整个可用预算在本质上是不精确和模糊的。利用必要性和可能性约束,将具有模糊参数的最优控制模型转化为清晰的形式,然后使用庞特里亚金最大值原理来求解该问题。数值算例支持了理论分析。
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引用次数: 0
期刊
International Journal of Mathematical Engineering and Management Sciences
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