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Leveraging Expert Knowledge for Mobile Livestock Care: Combining AHP and Naïve Bayes for Diagnosis, Treatment, and Management 利用专家知识进行移动牲畜护理:结合 AHP 和 Naïve Bayes 进行诊断、治疗和管理
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.856
Mohammed Kemal Ahmed, Durga Prasad Sharma, Hussein Seid Worku, Getinet Yima, Amir Ibrahim, T. B. Tufa
This study successfully designed and developed a smartphone application for livestock disease diagnosis, treatment, and reporting. The agile development framework Extreme Programming (XP) ensured efficient iteration and adaptation based on user feedback. Additionally, the integration of the Analytical Hierarchy Process (AHP) with veterinary expert input facilitated the prioritization of disease possibilities within the app. Furthermore, the application of Naive Bayes probability allowed the system to rank diseases based on them likelihood, enhancing the accuracy of diagnoses. Workshops, field observations, group discussions, and interviews with senior veterinary experts were used as data collecting and final product assessment tools to ensure it met the original criteria. Purposive sampling was used to distribute the application to 90 smartphone users who work in veterinary clinics, including 49 senior veterinary medicine students. The proposed system offers benefits such as improved healthcare access, early disease detection, enhanced disease management, and strengthened livestock health surveillance. This multifaceted approach holds significant promise for improving livestock health management, particularly in resource-limited settings.
本研究成功设计并开发了一款用于牲畜疾病诊断、治疗和报告的智能手机应用程序。敏捷开发框架 "极限编程(XP)"确保了根据用户反馈进行高效迭代和调整。此外,分析层次过程(AHP)与兽医专家意见的整合促进了应用程序中疾病可能性的优先排序。此外,Naive Bayes 概率的应用使系统能够根据疾病的可能性进行排序,提高了诊断的准确性。研讨会、实地观察、小组讨论和与资深兽医专家的访谈被用作数据收集和最终产品评估工具,以确保其符合最初的标准。我们采用了有目的的抽样方法,向 90 名在兽医诊所工作的智能手机用户分发了应用程序,其中包括 49 名兽医专业的高年级学生。拟议的系统具有改善医疗服务、早期疾病检测、加强疾病管理和强化牲畜健康监测等优点。这种多层面的方法在改善牲畜健康管理方面大有可为,尤其是在资源有限的环境中。
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引用次数: 0
Study on M/M/1 Queueing Netwօrk with Preparatory Wօrk and Feeback using Three Nodes when Catastrophe Occurs 灾难发生时使用三个节点的带预备 Wօrk 和回馈的 M/M/1 队列网络研究
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.853
S. Shanmugasundaram
In this paper we study M/M/1 open queueing network with instantaneous Bernoulli feedback and preparatory work with three nodes when catastrophe occurs. We derive n number of customers in the system, queue length (all three nodes), system length and system time. The numerical examples are given to test the feasibility of the model.
本文研究了具有瞬时伯努利反馈的 M/M/1 开放式排队网络,以及灾难发生时三个节点的准备工作。我们推导出系统中的 n 个客户数、队列长度(所有三个节点)、系统长度和系统时间。我们给出了数值示例来检验模型的可行性。
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引用次数: 0
Modelling Neutrosophic Agility Index: A Mathematical Framework 中性敏捷指数建模:数学框架
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.833
M. Kavitha
Introduction: This study uses a fuzzy-based methodology that combines agility score and certainty functions to assess the values of learning mathematics quickly. The paper emphasises the need of understanding the value of learning mathematics through tools like the Neutronosophic Agility Index in addition to discussing the usage of surveys to assess it.Objective: The aim of this study is to evaluate the values of learning mathematics’ agility by employing a fuzzy based methodology that integrates score and certainty functions. Finding out how agile the values are now and looking into ways to make them more agile are the objectives.Method: A paradigm for assessing the values of learning mathematical skills agility is established using a neutrosophic fuzzy method. The agility score is calculated to evaluate the level of agility. Additionally, the article recommends carrying out additional research using particular performance assessment standards.Result: The findings show that, according to its agility score, the benefit of knowing mathematics is "fairly agile". It implies the possibility of more progress by putting improvement recommendations into practice. It also emphasises the relationship between performance, agility, and organisational culture, underscoring the necessity for additional research employing a variety of fuzzy methodologies.Conclusion: In conclusion, the study is represented by agility scores corresponding to specific values. Self-confidence, with an agility score of 0.5377, ranks first, indicating reasonable confidence in decision-making. Perseverance (score: 0.5356) reflects resilience and determination. Decision-making (score: 0.5239) suggests a balanced approach. Tolerance (score: 0.5185) relates to handling diversity. Higher Order Thinking (score: 0.5166) involves cognitive abilities. The average agility score (0.5265) falls within the ‘Fairly Agile’ range. Enhancing these values can lead to higher agility categories.
简介本研究采用基于模糊的方法,结合敏捷度得分和确定性函数来评估快速学习数学的价值。本文强调了通过中子思维敏捷指数等工具了解数学学习价值的必要性,并讨论了使用调查来评估数学学习价值的方法:本研究旨在采用一种基于模糊的方法来评估数学学习的敏捷性价值,该方法综合了分数和确定性函数。找出数学学习价值观现在的敏捷程度,并寻找使其更加敏捷的方法是本研究的目标:方法:使用中性模糊方法建立了数学技能敏捷性学习价值评估范式。通过计算敏捷度得分来评价敏捷度的高低。此外,文章还建议使用特定的绩效评估标准开展更多研究:结果:研究结果表明,根据敏捷度得分,数学知识的好处是 "相当敏捷"。这意味着通过将改进建议付诸实践,有可能取得更大的进步。它还强调了绩效、敏捷性和组织文化之间的关系,突出了采用各种模糊方法进行更多研究的必要性:总之,本研究通过与特定值相对应的敏捷性得分来体现。自信心(敏捷度得分为 0.5377)排名第一,表明对决策有合理的信心。毅力(得分:0.5356)反映了韧性和决心。决策(得分:0.5239)表明了一种平衡的方法。宽容(得分:0.5185)与处理多样性有关。高阶思维(得分:0.5166)涉及认知能力。平均敏捷度得分(0.5265)属于 "相当敏捷 "范围。提高这些值可提升敏捷度类别。
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引用次数: 0
Computational Predictions of MGMT Promoter Methylation in Gliomas: A Mathematical Radiogenomics Approach 胶质瘤中 MGMT Promoter 甲基化的计算预测:放射基因组学数学方法
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.844
Ayesha Agrawal, V. Maan
In the treatment of glioblastomas, non-invasive methods for determining MGMT gene promoter methylation status are crucial due to their implications for chemotherapy responsiveness. This study utilizes a mathematical and computational framework to extract and analyze radiogenomic data from MRI images to predict the methylation status. The first step in our framework involves extracting radiogenomic data from MRI images. This process requires sophisticated image processing techniques to convert MRI scans into a format suitable for machine learning analysis. The features extracted include textural patterns, intensity distributions, and other relevant radiomic characteristics.To identify the most significant features, we employ a Random Forest (RF) algorithm. Mathematically, RF is an ensemble learning method that operates by constructing multiple decision trees during training and outputting the mode of the classes for classification tasks. The importance of each feature is evaluated based on its contribution to the accuracy of the model, quantified by metrics such as Gini impurity or information gain. Employing advanced machine learning models like VGG19, ResNet50, and Sequential FCNet Artificial Neural Networks, alongside traditional classifiers such as Naive Bayes and Logistic Regression, we analyze features identified by a Random Forest algorithm. Our mathematical approach ensures rigorous evaluation of model accuracy through sensitivity, specificity, and other performance metrics, presenting the Sequential FCNet ANN combined with ResNet50 as the superior model. This research contributes to the field of precision healthcare by enhancing the mathematical methods used in the non-invasive diagnosis of glioblastomas.
在胶质母细胞瘤的治疗中,确定 MGMT 基因启动子甲基化状态的非侵入性方法至关重要,因为它们对化疗反应性有影响。本研究利用数学和计算框架从核磁共振成像图像中提取和分析放射基因组数据,以预测甲基化状态。我们框架的第一步是从核磁共振图像中提取放射基因组数据。这一过程需要复杂的图像处理技术,将核磁共振扫描图像转换成适合机器学习分析的格式。提取的特征包括纹理模式、强度分布和其他相关的放射基因组特征。为了识别最重要的特征,我们采用了随机森林(RF)算法。从数学上讲,RF 是一种集合学习方法,通过在训练过程中构建多棵决策树,并输出分类任务的类别模式。每个特征的重要性根据其对模型准确性的贡献进行评估,并通过基尼不纯度或信息增益等指标进行量化。我们采用 VGG19、ResNet50 和 Sequential FCNet 人工神经网络等先进的机器学习模型,以及 Naive Bayes 和 Logistic Regression 等传统分类器,对随机森林算法识别的特征进行分析。我们的数学方法通过灵敏度、特异性和其他性能指标对模型的准确性进行了严格评估,结果表明 Sequential FCNet ANN 与 ResNet50 的组合是更优越的模型。这项研究通过改进用于胶质母细胞瘤无创诊断的数学方法,为精准医疗领域做出了贡献。
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引用次数: 0
Fuzzy S-Transform is used for Identifying Image Borders of the Medial Model Mycosic Fungoides 利用模糊 S 变换识别真菌病内侧模型的图像边界
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.831
S. I. Al-Ali
In order to identify mycosis fungoides in medical photos, the researchers used an algorithm.  There are several procedures that the detection system needs to take in order to identify cell mycosis fungoides. Mycosis fungoides image features have been studied using the new fuzzy transform because of the function's significance in accurate stage analysis. The statistical properties that were taken into consideration were energy, homogeneity, contrast, correlation, median, mean, entropy, and homogeneity. It has been confirmed that these statistical traits may be used to differentiate across various mycosis fungoides time periods.. We relied on the persistence function since it provides more precise examination of affected regions. Orthogonal conversion was found to be effective in assessing pixel area without changing image properties, allowing for the diagnosis of various illness stages.
为了从医学照片中识别真菌病,研究人员使用了一种算法。 检测系统需要经过几道程序才能识别细胞真菌病。由于新的模糊变换函数在精确的阶段分析中具有重要意义,因此研究人员使用该函数对真菌病图像特征进行了研究。所考虑的统计特性包括能量、均匀性、对比度、相关性、中位数、平均值、熵和均匀性。经证实,这些统计特性可用于区分不同的真菌病时间段。我们依赖持久性函数,因为它能更精确地检查受影响的区域。我们发现正交变换能在不改变图像属性的情况下有效评估像素面积,从而诊断不同的疾病阶段。
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引用次数: 0
Numerical and Analytical Approaches to Fractional Quantum Mechanics 分数量子力学的数值和分析方法
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.936
Vikas Kumar, Dr Nand Kumar
Our research meticulously navigates the realms of Fractional Quantum Mechanics (FQM), focusing on a critical examination of both numerical and analytical methods that harness the potential of fractional calculus to illuminate the quantum world's complexities. By embarking on this scholarly journey, we aim to decode the intricate dynamics that fractional equations reveal about quantum systems, pushing the boundaries of conventional quantum mechanics. This comparative study meticulously evaluates the efficacy and insights provided by these two distinct approaches, highlighting their contributions to a deeper understanding of quantum phenomena. As we traverse through the layers of quantum dynamics, our work seeks to contribute significantly to the theoretical framework of FQM, offering innovative perspectives and methodologies. The essence of this research lies in its potential to forge new theoretical pathways and inspire further exploration in the quantum domain, leveraging the unique capabilities of fractional calculus. By enriching the scientific community with our findings, we aspire to open new horizons in the study of quantum mechanics, marking a step forward in the ongoing quest to unravel the mysteries of the quantum universe.
我们的研究在分式量子力学(FQM)的领域中进行了细致的探索,重点是对数值和分析方法进行批判性研究,利用分式微积分的潜力来阐明量子世界的复杂性。通过开始这一学术之旅,我们旨在破解分数方程所揭示的量子系统的复杂动态,突破传统量子力学的界限。这项比较研究细致评估了这两种不同方法的功效和见解,强调了它们对深入理解量子现象的贡献。当我们穿越量子动力学的各个层面时,我们的工作旨在为 FQM 的理论框架做出重大贡献,提供创新的视角和方法。这项研究的精髓在于,它有可能利用分数微积分的独特能力,开辟新的理论途径,激发量子领域的进一步探索。我们希望通过我们的研究成果丰富科学界,为量子力学研究开辟新的视野,在不断探索揭开量子宇宙奥秘的道路上迈出新的一步。
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引用次数: 0
On GeneralizedNanoℕ?̌-Closed andNanoℕα̂-OpenSetsin Nano-Topological Spaces 论纳米拓扑空间中的广义纳米ℕ?
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.858
Abdulaziz .S. Hameed
This work aims to define a new class of sets in nano topological spaces called Nano (Nα) ̌- closed and (Nα) ̂-open sets, and to prove its verifiable properties and theorems.
这项工作旨在定义纳米拓扑空间中的一类新集合,称为纳米 (Nα) ̌- 闭集和 (Nα) ̂- 开集,并证明其可验证的性质和定理。
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引用次数: 0
Theoretical Foundation, Topological Technique, and Decision-Making Application of Intuitionistic Fuzzy D-Algebra 直觉模糊 D-代数的理论基础、拓扑技术和决策应用
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.945
M. Siva
Intuitionistic fuzzy D-algebra introduces a novel framework extending classical fuzzy algebra by incorporating degrees of membership and non-membership. This approach addresses the inherent uncertainty and imprecision in real-world systems. Topological techniques facilitate the analysis of convergence and continuity properties, ensuring the robustness of mathematical models. The need for such a framework arises from the limitations of classical fuzzy algebra in capturing nuanced degrees of uncertainty. Real-world decision-making processes often involve complex, ambiguous information that cannot be adequately represented by binary membership functions alone. Intuitionistic fuzzy D-algebra offers a more nuanced representation, expressing hesitation and uncertainty inherent in decision-making contexts. The proposed work comprehensively explores intuitionistic fuzzy D-algebra, including the formal definition of core structures, mathematical modelling, validation strategies through examples and counterexamples, and the development of interactive visualizations. By integrating computational tools and theoretical insights, this framework provides a versatile platform for addressing uncertainty in various domains, from decision-making systems to artificial intelligence, thus paving the way for innovative solutions and improved decision outcomes. The results provide an immersive exploration into the intricacies of intuitionistic fuzzy D-algebra. From the transformation of fuzzy sets into topological spaces to the dynamic manipulation of algebraic operations, each visualization offers an intense dive into understanding uncertainty and imprecision. The visuals serve as powerful educational tools, enabling a profound grasp of complex mathematical concepts and their practical implications in decision-making systems and artificial intelligence.
直觉模糊 D-代数引入了一个新颖的框架,通过加入成员度和非成员度来扩展经典模糊代数。这种方法解决了现实世界系统中固有的不确定性和不精确性问题。拓扑技术有助于分析收敛性和连续性,确保数学模型的稳健性。之所以需要这样一个框架,是因为经典模糊代数在捕捉细微的不确定性程度方面存在局限性。现实世界的决策过程往往涉及复杂、模糊的信息,仅靠二元成员函数无法充分表达这些信息。直觉模糊 D-代数提供了一种更细致的表示方法,能表达决策环境中固有的犹豫不决和不确定性。拟议的工作全面探讨了直觉模糊 D-代数,包括核心结构的正式定义、数学建模、通过示例和反例进行验证的策略,以及交互式可视化的开发。通过整合计算工具和理论见解,该框架为解决从决策系统到人工智能等各个领域的不确定性问题提供了一个通用平台,从而为创新解决方案和改进决策结果铺平了道路。这些成果让人身临其境地探索了直观模糊 D-代数的复杂性。从模糊集到拓扑空间的转换,到代数运算的动态操作,每一个可视化都让人深入了解不确定性和不精确性。这些可视化内容可作为强大的教育工具,帮助人们深刻理解复杂的数学概念及其在决策系统和人工智能中的实际意义。
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引用次数: 0
A New Family of Distributions with an Application to Exponentially Distribution 应用于指数分布的新分布族
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.832
Layla Abdul, Jaleel Mohsin, Hazim Ghdhaib Kalt
This paper introduces a new continuous distribution family called the Alpha logarithm family, which is a new modelling strategy for fitting data subject to univariate continuous distributions. This is achieved by introducing an additional parameter for greater flexibility using a single-parameter Natural logarithm transformation which can enhance some of the modeling capabilities of some Parental Continuous Distributions: This technique was applied to the exponential distribution to obtain a new two-parameter distribution, and the changes that occurred in the exponential distribution were observed. The general properties and functions of the new distribution were also derived and studied, and the estimators of the two parameters were derived. The efficiency of the estimators is verified through the simulation study. The new distribution is also applied to two sets of real data to prove the benefit of the new transformation, and we show that the proposed model is better than the asymptotic distributions with which it was compared on the selected data.
本文介绍了一种名为阿尔法对数族的新连续分布族,这是一种用于拟合单变量连续分布数据的新建模策略。这是通过引入一个额外参数来实现的,使用单参数自然对数变换可以提高一些父连续分布的建模能力,从而获得更大的灵活性:将这一技术应用于指数分布以获得新的双参数分布,并观察指数分布所发生的变化。还推导和研究了新分布的一般性质和函数,并推导出了两个参数的估计值。通过模拟研究验证了估计器的效率。我们还将新分布应用于两组真实数据,以证明新变换的益处,结果表明,在所选数据上,所提出的模型优于与之比较的渐近分布。
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引用次数: 0
Solving Intuitionistic Fuzzy Unconstrained Optimization Problems Using Interval Newton’s Method 用区间牛顿法解决直觉模糊无约束优化问题
Q4 Mathematics Pub Date : 2024-07-05 DOI: 10.52783/cana.v31.835
S. Shilpa, Ivin Emimal, R. Hepzibah
This research work studies the optimization of intuitionistic fuzzy valued functions in unconstrained problems. The Interval Newton's Method using an Intuitionistic approach addresses both single and multivariable optimization problems. The study incorporates a mathematical comprehension of interval intuitionistic fuzzy valued problems, as well as real-world examples to demonstrate their effectiveness. Furthermore, MATLAB code is provided to demonstrate the implementation of the Interval Newton's Method.
本研究工作研究无约束问题中直观模糊有值函数的优化问题。使用直观方法的区间牛顿法可以解决单变量和多变量优化问题。研究结合了对区间直观模糊值问题的数学理解,以及实际例子来证明其有效性。此外,还提供了 MATLAB 代码来演示区间牛顿法的实施。
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引用次数: 0
期刊
Communications on Applied Nonlinear Analysis
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