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A Modified Proximal Point Algorithm for Finite Families of Minimization Problemsand Fixed Point Problems of Asymptotically Quasi-nonexpansive MultivaluedMappings 渐近拟非扩张多值映射的极小问题和不动点问题有限族的改进近点算法
Pub Date : 2022-08-31 DOI: 10.52280/pujm.2022.540801
I. K. Agwu, D. Igbokwe
ln this paper, a new iterative algorithm for finding common ele-ments of the set of fixed points for a finite family of asymptotically quasi-nonexpansive multivalued mappings and the set of minimizers for a finite family of minimization problem is constructed. Under mild conditions on the control sequences, strong convergence of our algorithm was achieved without necessarily imposing any compactness condition on the space or the operator by using an independent approach. Our results improve, ex-tend and generalize many important results recently announced in current literature.
本文构造了求有限族渐近拟非扩张多值映射不动点集公共元素的迭代算法和求有限族极小化问题的极小化集的迭代算法。在较温和的控制序列条件下,采用独立的方法实现了算法的强收敛性,而不必对空间和算子施加任何紧性条件。我们的结果改进、扩展和概括了当前文献中最近公布的许多重要结果。
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引用次数: 0
Detection of R- Peaks in Electrocardiogram based onWavelet Transform andWavelet Approximation 基于小波变换和小波逼近的心电图R-峰检测
Pub Date : 2022-07-29 DOI: 10.52280/pujm.2022.540702
Imtiyaz Ahmad Wani, A. -, Rayees Ahmad
The diseases which are associated with the human heart can be detected through a procedure known as the electrocardiogram that is an electrical activity of the human heart. The clinical analysis of ECG faces problems in its interpretation due to the poor recording environment where unwanted noise is getting contaminated into it in the form of different artifacts viz motion artifacts, loose lead artifact, baseline wandering, muscletumour artifacts etc. To get noise-free electrocardiogram wavelet theory plays an important role. This paper talks about the framework of approximation of an electrocardiogram signal by wavelet theory. On obtaining the denoised electrocardiogram, prominent peaks and R peaks -part of QRS complex are detected. The proposed algorithm is applied to the ECG recording No. 100m.mat obtained from MIT-BIH database.
与人类心脏有关的疾病可以通过一种称为心电图的程序来检测,这是一种人类心脏的电活动。由于记录环境恶劣,不需要的噪声以不同的伪影形式被污染到心电图中,如运动伪影、松动导联伪影、基线漫游、肌肉肿瘤伪影等,因此心电图的临床分析面临着解释问题。为了得到无噪声的心电图,小波理论起着重要的作用。本文讨论了用小波理论逼近心电图信号的框架。得到去噪后的心电图,检测出QRS复合体的突出峰和部分R峰。该算法应用于100m号心电记录。mat来自MIT-BIH数据库。
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引用次数: 1
Efficiently Guided Active Contours for Image Segmentation 有效引导的活动轮廓图像分割
Pub Date : 2022-07-29 DOI: 10.52280/pujm.2021.540704
Lutful Mabood, Tahir Ullah, Haider Ali, N. Badshah
Segmenting natural and outdoor images are challenging for most of the latest variational segmentation models. For this purpose we employ derived image data (DID) and propose a robust variational model. The DID rely on three images by utilizing image local and global statistics as well as filter image which is obtained through our design high pass filtering techniques. Then these derived image data are incorporated into our proposed energy functional which can robustly segment images having inhomogeneity, mix backgrounds and multi-regions. Furthermore, the results of DID are compared with other well known methods with finding Jaccard similarity index to proof the efficient and qualitative performance of proposed model over the traditional methods. Finally, the proposedDID based model is tested on real world 3D images to ensure that it alsopreserve its performance in vector valued images as well.
对于大多数最新的变分分割模型来说,自然和户外图像的分割是具有挑战性的。为此,我们采用了衍生图像数据(DID),并提出了一个鲁棒变分模型。该方法利用图像局部和全局统计以及通过高通滤波技术获得的滤波图像来依赖于三幅图像。然后将这些导出的图像数据整合到我们提出的能量函数中,该能量函数可以对具有非均匀性、混合背景和多区域的图像进行鲁棒分割。此外,将该方法的结果与其他已知方法进行了比较,并找到了Jaccard相似度指数,以证明该模型优于传统方法的有效性和定性性能。最后,在真实世界的三维图像上对所提出的基于did的模型进行了测试,以确保它在矢量值图像上也能保持其性能。
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引用次数: 0
Similarity Measures based on the Novel Interval-valued Picture Hesitant Fuzzy Setsand their Applications in Pattern Recognition 基于新型区间值图像犹豫模糊集的相似性度量及其在模式识别中的应用
Pub Date : 2022-07-29 DOI: 10.52280/pujm.2022.540703
Zeeshan Ahmad, T. Mahmood, K. Ullah, Naeem Jan
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引用次数: 1
Two Different Types of Soft Near-Fields 两种不同类型的软近场
Pub Date : 2022-07-29 DOI: 10.52280/pujm.2022.540701
Emin Ayg¨un, Hüseyin Kamacı
Molodtsov’s soft set is a novel mathematical approach to address models containing uncertainty. The algebraic structures of this set approach are prominent issues. The main objective of this paper is to contribute algebraic structures in the soft set theory. Relatedly, the notions of soft intersection near-field and soft union near-field, and their fundamental properties are introduced. Also, some findings and results related to theemerging soft algebraic structures are included.
Molodtsov的软集是解决包含不确定性的模型的一种新颖的数学方法。这种集方法的代数结构是一个突出的问题。本文的主要目的是对软集理论中的代数结构作出贡献。介绍了软交会近场和软联合近场的概念及其基本性质。此外,还包括了一些与新兴的软代数结构有关的发现和结果。
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引用次数: 0
New Subclass of Analytic Functions Associated with Fractional q− DifferintegralOperator 分数阶q -微分积分算子解析函数的新子类
Pub Date : 2022-06-29 DOI: 10.52280/pujm.2022.540601
D. D. Bobalade, S. Joshi, N. Sangle
In this paper, we have introduced a new subclass T α q,ξ,δ of univalent and analytic functions defined by fractional q− differintegral operator in the unit disc U = {z ∈ C : |z| < 1}. We obtained, among other results, coefficient inequality, convex set, extreme points, growth and distortion theorem, radii of a class of starlikeness, convexity, and neighborhood and Hadamard product for this subclass.
本文在单位圆盘U = {z∈C: |z| < 1}上,引入了分数阶q -微分积分算子定义的一元函数和解析函数的一个新子类T α q,ξ,δ。我们得到了系数不等式、凸集、极值点、生长和畸变定理、星形类的半径、凸性、邻域以及该子类的Hadamard积。
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引用次数: 0
Decision Support System Based on Spherical 2-tuple Linguistic FuzzyAggregation Operators and their Application in Green Supplier Selection 基于球面二元语言模糊聚合算子的决策支持系统及其在绿色供应商选择中的应用
Pub Date : 2022-06-29 DOI: 10.52280/pujm.2021.540604
Muhammad Qiyas, S. Abdullah
In this manuscript, we give the idea of Spherical 2-tuple linguistic fuzzy set (S2TLFS) for the multi criteria decision making (MCDM) problem with the information. We utilized some operation to define some Spherical 2-tuple linguistic fuzzy (S2TLF) aggregation operators (AOs). We discussed some properties of the developed operators. Then, to solvean MCDM problem using the Spherical 2-tuple linguistic information, we proposed an approach, and utilized these operators. Lastly, a numerical example of the green supplier selection for chemical processing industry is given to show the advantage of the defined approach and to show its practicability and performance
在这篇文章中,我们给出了球面2元组语言模糊集(S2TLFS)的思想用于多准则决策(MCDM)问题。我们利用一些运算定义了一些球面2元组语言模糊(S2TLF)聚合运算符(AOs)。我们讨论了发展算子的一些性质。然后,我们提出了一种利用球面二元组语言信息求解MCDM问题的方法,并利用了这些算子。最后,以化工行业绿色供应商选择为例,说明了该方法的优越性和实用性
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引用次数: 2
Fuzzy Bipolar Soft Quasi-ideals in Ordered Semigroups 有序半群中的模糊双极软拟理想
Pub Date : 2022-06-29 DOI: 10.52280/pujm.2022.540603
Aziz- Ul-Hakim, H. Khan, Imtiaz Ahmad, Asghar Khan
In this paper, we introduce the concept of fuzzy bipolar soft quasi-ideals in ordered semigroup theory. First some characteristics of the structure are examined and hence a few useful results are established. It is proved, among others, that the concepts of fuzzy bipolar soft bi-ideal and fuzzy bipolar soft quasi-ideal in regular ordered semigroups coincide. In addition, fuzzy bipolar soft quasi-ideals over ordered semigroups are linked with the ordinary quasi-ideals. Thereafter, a few classes of ordered semigroups are characterized in terms of their fuzzy bipolar soft left, fuzzy bipolar soft right and fuzzy bipolar soft quasi-ideals, and thus some important characterization theorems are established. We also define fuzzy bipolar soft semiprime quasi-ideals and characterize completely regular ordered semigroups by their fuzzy bipolar soft (semiprime) quasi-ideals.It is proved that an ordered semigroup S is completely regular if and onlyif every fuzzy bipolar soft quasi-ideal λA over S is a fuzzy bipolar softsemiprime quasi-ideal.
本文引入了有序半群理论中模糊双极软拟理想的概念。首先对结构的一些特性进行了研究,从而得出了一些有用的结果。证明了正则序半群中模糊双极软双理想和模糊双极软拟理想的概念重合。此外,将有序半群上的模糊双极软拟理想与普通拟理想联系起来。在此基础上,利用模糊双极软左、模糊双极软右和模糊双极软拟理想对几类有序半群进行了刻画,从而建立了一些重要的刻画定理。定义了模糊双极软半素数拟理想,并用模糊双极软半素数拟理想刻画了完全正则有序半群。证明了一个有序半群S是完全正则的当且仅当每个模糊双极性软拟理想λA / S都是模糊双极性软半素拟理想。
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引用次数: 0
Midpoint type Fractional Integral Inequalities for convex and positive symmetricIncreasing functions 凸和正对称递增函数的中点型分数积分不等式
Pub Date : 2022-06-29 DOI: 10.52280/pujm.2022.540602
Muhammad Amer Latif, S. Hussain
: In this study, some midpoint type Hermite-Hadamard fractional integral inequalities and related results for a class of convex functions with respect to an increasing function incorporating a positive-weightedsymmetric function generalizing some classical results are discussed.
本文讨论了一类凸函数关于含正对称函数的递增函数的一些中点型Hermite-Hadamard分数积分不等式和相关结果,推广了一些经典结果。
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引用次数: 0
Generalized Fuzzy Filters in Quantales and Their Approximations 量子中的广义模糊滤波器及其近似
Pub Date : 2022-04-25 DOI: 10.52280/pujm.2021.540404
Saqib Mazher Qurashi, M. Shabir
The present paper represents the behaviour of fuzzy filters and (α, β)-fuzzy filters in Quantale. The detailed study of relationship among crisp filter, fuzzy filters and (α, β)-fuzzy filters in quantale are discussed. An important part is played by quantale homomorphism which shows inverse image of (∈, ∈ ∨q)-fuzzy filter is again (∈, ∈ ∨q)-fuzzy filter. Under (α, β)-fuzzy map, it is seen that inverse image of (α, β)-fuzzy filter is again a fuzzy filter under quantale homomorphism. The relationship between fuzzy filter and (∈γ, ∈γ ∨qδ)-fuzzy filters are also discussed. Further, generalized approximation of fuzzy filter, (∈, ∈ ∨q)-fuzzy filterand (∈γ, ∈γ ∨qδ)-fuzzy filter are discussed.
本文讨论了模糊滤波器和(α, β)-模糊滤波器在Quantale中的行为。详细讨论了清脆滤波器、模糊滤波器和(α, β)-模糊滤波器在量子化中的关系。量子同态是一个重要的组成部分,它表明(∈,∈∨q)-模糊滤波器的逆像还是(∈,∈∨q)-模糊滤波器。在(α, β)-模糊映射下,可以看到(α, β)-模糊滤波器的逆像仍然是量子同态下的模糊滤波器。讨论了模糊滤波器与(∈γ,∈γ)-模糊滤波器之间的关系。进一步讨论了模糊滤波器,(∈,∈∨q)-模糊滤波器和(∈γ,∈γ∨qδ)-模糊滤波器的广义逼近。
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Punjab University Journal of Mathematics
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