CHARACTERIZATION OF RESIDUATED LATTICES VIA MULTIPLIERS

In the paper,we introduce some of multipliers on residuated lattices and investigate the relations among them.First,basing on the properties of multipliers,we show that the set of all multiplicative multipliers on a residuated lattice A forms a residuated lattice which is isomorphic to A.Second,we prove that the set of all total multipliers on A is a Boolean subalgebra of the residuated lattice(which is constituted by all multiplicative multipliers on A)and is isomorphic to the Boolean center of A.Moreover,by partial multipliers,we study the maximal residuated lattices of quotients for residuated lattices.Finally,we focus on principal implicative multipliers on residuated lattices and obtain that the set of principal implicative multipliers on A is isomorphic to the set of all multiplicative multipliers on A under the opposite(dual)order.

On Filters of Residuated Lattice

This paper is devoted to the discussion of filters in residuated lattices. Some equivalent conditions about filter were given. The structure of generated filter was established. The concept of implicative filter in residuated lattice was proposed with its basic properties being discussed.

L-Fuzzy Rough Set Based on Complete Residuated Lattice

Residuated lattice is an important non-classical logic algebra, and L-fuzzy rough set based on residuated lattice can describe the information with incompleteness, fuzziness and uncomparativity in information systems. In this paper, the representation theorems of L-fuzzy rough sets based on residuated lattice are given. The properties and axiomatic definition of the lower and upper approximarion operators in L-fuzzy rough sets are discussed.

On Lattice Structure of Filters in Residuated Lattices

This paper is devoted to the discussion of filters in residuated lattices. The lattice structure of filters in residuated lattice was established. It is proved that the set of all filters forms a distributive lattice. Also, the concept of prime filter in residuated lattice was proposed and some equivalent conditions about prime filter were given.

<i>L</i>-Topological Spaces Based on Residuated Lattices

In this paper, we introduce the notion of L-topological spaces based on a complete bounded integral residuated lattice and discuss some properties of interior and left (right) closure operators.

Mei symmetry and conservation laws of discrete nonholonomic dynamical systems with regular and irregular lattices

In this paper,Noether symmetry and Mei symmetry of discrete nonholonomic dynamical systems with regular and the irregular lattices are investigated.Firstly,the equations of motion of discrete nonholonomic systems are introduced for regular and irregular lattices.Secondly,for cases of the two lattices,based on the invariance of the Hamiltomian functional under the infinitesimal transformation of time and generalized coordinates,we present the quasi-extremal equation,the discrete analogues of Noether identity,Noether theorems,and the Noether conservation laws of the systems.Thirdly,in cases of the two lattices,we study the Mei symmetry in which we give the discrete analogues of the criterion,the theorem,and the conservative laws of Mei symmetry for the systems.Finally,an example is discussed for the application of the results.

Antagonism effect of residual S triggers the dual-path mechanism for water oxidation

Transition metal chalcogenides(TMCs)are recognized as pre-catalysts,and their(oxy)hydroxides derived from electrochemical reconstruction are the active species in the water oxidation.However,understanding the role of the residual chalcogen in the reconstructed layer is lacking in detail,and the corresponding catalytic mechanism remains controversial.Here,taking Cu_(1-x)Co_(x)S as a platform,we explore the regulating effect and existence form of the residual S doped into the reconstructive layer for oxygen evolution reaction(OER),where a dual-path OER mechanism is proposed.First-principles calculations and operando~(18)O isotopic labeling experiments jointly reveal that the residual S in the reconstructive layer of Cu_(1-x)Co_(x)S can wisely balance the adsorbate evolution mechanism(AEM)and lattice oxygen oxidation mechanism(LOM)by activating lattice oxygen and optimizing the adsorption/desorption behaviors at metal active sites,rather than change the reaction mechanism from AEM to LOM.Following such a dual-path OER mechanism,Cu_(0.4)Co_(0.6)S-derived Cu_(0.4)Co_(0.6)OSH not only overcomes the restriction of linear scaling relationship in AEM,but also avoids the structural collapse caused by lattice oxygen migration in LOM,so as to greatly reduce the OER potential and improved stability.

Notes on Preregular Operators in Banach Lattices

Some characterizations of preregular operators between two Banach lattices are presented. Then several sufficient conditions for preregular operators being regular are given, and some related results are also obtained.

Statistical Analysis of Regularity of Pesticide Residues in Vegetables Produced in Inner Mongoli

[Objective]The paper was to study regularity of pesticide residues in vegetables produced in Inner Mongolia.[Method]Mathematical statistic analysis was carried out on 6 800 samples of veggies,fruits,leguminous vegetables,nuts and seeds produced in Inner Mongolia.[Result]The dominated vegetables in Inner Mongolia were green leafy vegetables,solanaceous vegetables and melon vegetables,and their yields accounted for 70%of the total vegetables production.Since 2003,with the rapid increase of detected vegetable numbers,the status of vegetable quality safety had entered into a new stage of sustainable steady after a rapid decline or periodic fluctuation,and the differences in safety levels were obvious,of which the range of exceeding standard rate of pesticide residues in solanaceous vegetables,melon vegetables and leguminous vegetables(about 55%of the total vegetables)was under 2%,with average values of 1.1%,1.6%and 3.1%,respectively.They belonged to stable type.The exceeding standard rate of pesticide residues in green leafy vegetables and Chinese cabbage group(about 30%of total vegetables)presented a decreasing trend year by year,wondering in the range of 7%-10%.They belonged to main risk type.The time period of exceeding standard of pesticide residues in root vegetables and cole vegetables was under predictable,and its exceeding standard rate in some years was over 5%(amplitude variation is over 15percentage points).They belonged to random risk type.The kinds of pesticides,which exceeding standard rate in vegetables were relatively intensive,presented variance in different vegetable species.70%of the pesticides belonged to intermittent over-limits and the probability was below 5%.About 20%tradition pesticides often exceeded standard and their probabilities were over 30%.The exceeding standard of organophosphorus and carbamates pesticides in vegetables presented a decreasing tend,while the risk of some new pesticides containing nitrogen element and high effective pyrethroids showed an increasing tendency.[Conclusion]The paper provided decision making services for agricultural management departments.

Correlation between Residual Renal Function and Hypertension in Regular Haemodialysis Patients

Objective: To evaluate the correlation between residual renal function and hypertension in regular haemodialysis patients. Background: Initiating chronic dialysis treatment gives end-stage renal disease patients a new lease on life. However, the annual mortality rate in dialysis patients is ~20% and quality of life is substantially reduced. Patients and Methods: This study was carried out on a reasonable number of subjects on regular haemodialysis divided into two groups. All were given informed consent and, the study was approved by the ethics committee of Menoufia University. Results: There was significant relation between presence of residual renal function and hypertension in patients with ESRD on regular haemodialysis, but the relation between residual renal function and control of hypertension is not statistically significant. 40% of group 1 were hypertensive, 66.7% of group 2 patients were hypertensive, the interdialytic weight gain mean was 1.42 in group 1 and 2.37 in group 2. Control of hypertension was achieved in 63.6% of group 1 patients by one drug, 27.3% patients by 2 drugs;however 9.1% of patients need 3 drugs to control their blood pressure, while in group 2 40% of patients were controlled by one drug, 45% with 2 drugs and 15% need 3 drugs to control blood pressure. Conclusion: There is significant relation between presence of residual renal function and hypertension in patients with ESRD on regular haemodialysis, but the relation between residual renal function and control of hypertension is not statistically significant.

Relational Representations of Strongly Algebraic Lattices

In this paper,we introduce and investigate the strongly regular relation.Then we give the relational representations and an intrinsic characterization of strongly algebraic lattices via mapping relation and strongly regular relation.

基于粗到细的多尺度单幅图像去雾方法

为了解决现有图像去雾算法易出现细节纹理丢失、颜色失真或对非均匀浓雾处理不彻底的问题,提出一种基于粗到细的多尺度单幅图像去雾方法。首先,主干网络使用残差特征注意力模块对有雾图像进行特征提取;其次,将不同尺度的输入图像进行卷积预处理,通过多尺度特征融合模块将预处理的浅层特征与主干网络融合;再次,将不同粒度的非对称特征进行有效融合;最后,将浅层信息与深层信息自适应混合输出,通过对比正则损失构建正负样本信息,使得去雾图像更接近无雾图像。实验结果表明,与已有代表性的去雾方法相比,提出的方法能对合成数据集与真实数据集进行有效去雾,在细节保留与色彩还原上优于对比方法。

基于MRSDAE-KPCA结合Bi-LST的滚动轴承剩余使用寿命预测

针对现有滚动轴承剩余使用寿命预测方法在提取数据特征时没有充分考虑数据的内部分布,且在构建健康因子时还需要专家经验进行人工提取等问题,提出一种基于流形正则化堆栈去噪自编码器、核主成分分析并结合双向长短时记忆网络的滚动轴承剩余使用寿命预测方法。首先采用无监督的堆栈去噪自编码器网络对原始振动数据进行深层特征提取,并使用核主成分分析法进一步降维,以提高健康因子的指标稳定性;然后在堆栈去噪自编码器中加入流形正则化,最大程度保留编码器隐藏层内部的数据分布结构,提高模型提取数据特征的有效性。最后使用双向长短时记忆网络预测轴承的剩余使用寿命,并采用AdaMax优化算法对网络模型的超参数进行自适应寻优。分析结果表明,提出的滚动轴承剩余使用寿命预测方法具有更高的精度。

正则化相场格子玻尔兹曼两相流模型

目前,基于相场理论的格子玻尔兹曼(lattice Boltzmann,LB)模型已经被广泛应用于气-液两相流流动问题中.为了提高已有相场LB模型的数值稳定性,提出了一种新型的正则化相场格子玻尔兹曼模型(regularized lattice Boltzmann model,RLBM)用于模拟大密度比和大黏度比的气液两相流动.该模型由界面追踪和流场求解两个核心模块构成,其中界面变化采用守恒型Allen-Cahn (A-C)相场方程控制,流场演化则通过不可压NavierStokes (N-S)方程控制.首先,构建了两个正则化格子玻尔兹曼方程(lattice Boltzmann equation,LBE)分别获取流场信息和相场信息.与标准的单松弛模型不同的是,提出的模型在演化方程的碰撞项中引入了非平衡态的预前碰撞函数,且该预前碰撞项仅与宏观量有关.通过Chapman-Enskog (C-E)多尺度展开分析,证实了所提出的模型能够准确地恢复到宏观流场控制方程和相场控制方程.进一步地,为了验证本模型的有效性,模拟了4个两相流典型算例,包括静态液滴、Rayleigh-Taylor(R-T)不稳定性问题、气泡上升和单个液滴撞击液膜.数值结果证实了提出的模型能够准确地模拟大密度比、大黏度比、大雷诺数下的气液两相流流动问题.更重要的是,相较于传统的相场单松弛模型在小的迁移率(θ_(M)<2.0×10^(-2))下就会诱发数值方法不收敛的问题,提出的模型在模拟迁移率较小(θ_(M)=1.0×10^(-6))的复杂两相流动时表现出更好的稳定性,能够更准确地刻画界面流动,捕捉界面形态.

基于一般二元关系粗糙近似算子的格结构研究

刻画了基于一般二元关系及悲观多粒度粗糙近似算子的完备格结构,证明了在选取蕴涵算子之后,基于一般二元关系的粗糙近似算子构成MV、R0与布尔代数。

基于RepVGG-A0改进的公路车型识别网络

针对当前车型识别过程中检测精度与实时性难以平衡的问题,提出了一种基于RepVGG-A0改进的公路车型识别网络,利用结构重参数化思想融合多分枝网络以提升网络推理速度。使用混合空洞卷积替换传统卷积,强化了模型对大目标的识别能力。在网络主干中插入融合残差结构的坐标注意力(RES-CA)模块,提升了网络对有效特征信息的提取能力,同时避免了梯度消失与梯度退化造成的影响。此外采用了标签平滑正则化方法对损失函数进行改进,降低了模型过拟合对检测结果的影响,提升了模型的泛化性。经验证,本方法在公路车辆数据集BIT-Vehicle上的识别准确率达到了97.17%,较原模型提升了2.67%,优于现有的ResNet-18,VGG等网络模型,同时保证了模型的检测速度。

TC17钛合金表面残余应力的点阵式维氏压痕测试

采用点阵式维氏压痕测试方法得到TC17钛合金表面12个测试点的载荷-深度曲线;通过等效材料维氏压痕模型计算合金表面12个测试点的双向残余应力和单向残余应力,将残余应力值代入ANSYS 19.2有限元分析软件中得到载荷-深度曲线,并进行试验验证。结果表明:试验得到表面不同测试点的应力均为残余拉应力;采用有限元方法模拟得到双向残余应力和单向残余应力下的载荷-深度曲线与试验结果吻合较好,载荷-深度曲线的加载曲率的相对误差均小于1.5%,等效材料维氏压痕模型可以准确地预测合金表层单向残余应力和双向残余应力分布。

深度学习的煤矿尘肺病图像识别

针对尘肺病人工诊断率低和诊断误差大等问题,通过深度学习利用神经网络模型对煤矿尘肺病CT图进行辅助诊断,通过比较现有的ResNet原始模型、DenseNet模型、MC-CNN模型训练结果,提出一种基于改进ResNet模型的图像分类方法。将GN正则化嵌入到模型中,将残差网络模型中常规卷积convolution更改为内卷involution。结果表明,ResNet101模型的整体性更强,其准确率达到93.2%,精确率达93.8%,召回率达到93.6%,F 1达到93.7%。该研究融合深度学习算法与正则化的优势验证图像识别模型是可行的。

否定非对合剩余格上BF-理想的BF-平移与BF-扩张理想

进一步研究否定非对合剩余格的双极值模糊理想(简称BF-理想)问题,引入BF-理想的BF-平移、BF-扩张理想和BF-乘积等概念并考察它们的性质特征和相互关系,为进一步揭示否定非对合剩余格的结构特征拓展研究思路.

基于相似网络融合算法的癌症亚型预测

从基因表达数据中挖掘基因之间的相互作用关系,构建基因调控网络,是生物信息学中重要的研究课题之一。但目前流行的神经网络在其架构中仅考虑基因之间的交互和关联,不考虑患者之间的交互和关联。为此,提出了一种基于加权基因相似网络和样本相似网络融合算法的癌症亚型预测模型,即WGCSS(Weighted Genetic Correlation network and Sample Similarity network)。该方法实现了特征空间和样本空间信息的融合,同时考虑了基因之间和样本之间的相互作用关系,并使用图卷积网络进行预测。在两个空间中聚合信息会导致严重的过度平滑问题,为此在该模型中引入残差层以缓解过度平滑问题。该方法通过聚合两个空间中的数据信息,可以使得癌症亚型预测的结果更加准确。为了验证方法的泛化性能,使用了乳腺浸润癌(BRCA)、多形性胶质母细胞瘤(GBM)和肺癌(LUNG)数据集进行分析,由此产生的高分类精度结果可以表明该方法的优越性。另外,还对3类数据集进行了生存分析,证明该方法在3个癌症数据集上癌症亚型的生存曲线存在显著差异。