A Hybrid Level Set Optimization Design Method of Functionally Graded Cellular Structures Considering Connectivity

With the continuous advancement in topology optimization and additive manufacturing(AM)technology,the capability to fabricate functionally graded materials and intricate cellular structures with spatially varying microstructures has grown significantly.However,a critical challenge is encountered in the design of these structures–the absence of robust interface connections between adjacent microstructures,potentially resulting in diminished efficiency or macroscopic failure.A Hybrid Level Set Method(HLSM)is proposed,specifically designed to enhance connectivity among non-uniform microstructures,contributing to the design of functionally graded cellular structures.The HLSM introduces a pioneering algorithm for effectively blending heterogeneous microstructure interfaces.Initially,an interpolation algorithm is presented to construct transition microstructures seamlessly connected on both sides.Subsequently,the algorithm enables the morphing of non-uniform unit cells to seamlessly adapt to interconnected adjacent microstructures.The method,seamlessly integrated into a multi-scale topology optimization framework using the level set method,exhibits its efficacy through numerical examples,showcasing its prowess in optimizing 2D and 3D functionally graded materials(FGM)and multi-scale topology optimization.In essence,the pressing issue of interface connections in complex structure design is not only addressed but also a robust methodology is introduced,substantiated by numerical evidence,advancing optimization capabilities in the realm of functionally graded materials and cellular structures.

Solid Waste Management:A MADM Approach Using Fuzzy Parameterized Possibility Single-Valued Neutrosophic Hypersoft Expert Settings

The dramatic rise in the number of people living in cities has made many environmental and social problems worse.The search for a productive method for disposing of solid waste is the most notable of these problems.Many scholars have referred to it as a fuzzy multi-attribute or multi-criteria decision-making problem using various fuzzy set-like approaches because of the inclusion of criteria and anticipated ambiguity.The goal of the current study is to use an innovative methodology to address the expected uncertainties in the problem of solid waste site selection.The characteristics(or sub-attributes)that decision-makers select and the degree of approximation they accept for various options can both be indicators of these uncertainties.To tackle these problems,a novel mathematical structure known as the fuzzy parameterized possibility single valued neutrosophic hypersoft expert set(ρˆ-set),which is initially described,is integrated with a modified version of Sanchez’s method.Following this,an intelligent algorithm is suggested.The steps of the suggested algorithm are explained with an example that explains itself.The compatibility of solid waste management sites and systems is discussed,and rankings are established along with detailed justifications for their viability.This study’s strengths lie in its application of fuzzy parameterization and possibility grading to effectively handle the uncertainties embodied in the parameters’nature and alternative approximations,respectively.It uses specific mathematical formulations to compute the fuzzy parameterized degrees and possibility grades that are missing from the prior literature.It is simpler for the decisionmakers to look at each option separately because the decision is uncertain.Comparing the computed results,it is discovered that they are consistent and dependable because of their preferred properties.

A Duality Theorem Associated with the Smash Product of Graded Ring and G-set

Let G be a group, HG and R a G graded ring. We study the duality Theorem for G actions and smash products R#G/H of the G graded ring R and the G set G/H.

Application of Rough Sets to Evaluate Fabric Smoothness Grade

For garment or fabric appearance, the cloth smoothness grade is one of the most important performance factors in textile and garment community. In this paper, on the base of Rough Set Theory,a new objective method for fabric smoothness grade evaluation was constructed. The objective smoothness grading model took the parameters of 120 AATCC replicas' point-sampled models as the conditional attributes and formed the smoothness grading decision table. Then, NS discretization method and genetic algorithm reduction method were used in the attributes discretization and feature reduction. Finally, the grading model was expressed as simple and intuitional classification rules. The simulation results show the validity of the fabric smoothness grading system which is built on the use of rough sets.

GemDialogue和Gem Set颜色系统在有色宝石颜色描述和分级中的应用

国际贸易中有色宝石的报价主要是按其总品质级别和克拉质量给出的。目前, 国际上较为广泛采用的有色宝石的分级体系主要有美国宝石学院和美国宝石协会的两个体系。在有色宝石总品质中起决定作用的是颜色, 对宝石颜色的描述和分级分别采用的是 GIA的 GemSet和 Howard Rubin的 GemDialogue颜色系统。主要介绍这两个系统的特点以及它们在有色宝石颜色描述和分级中的应用方法及应注意的问题。

Approach to stochastic multi-attribute decision problems using rough sets theory

Multi-attribute decision problems where the performances of the alternatives are random variables are considered. The suggested approach grades the probabilities of preference of one alternative over another with respect to the same attribute. Based on the graded probabilistic dominance relation, the pairwise comparison information table is defined. The global preferences of the decision maker can be seen as a rough binary relation. The present paper proposes to approximate this preference relation by means of the graded probabilistic dominance relation with respect to the subsets of attributes. At last, the method is illustrated by an example.

Product Approximation of Grade and Precision

The normal graded approximation and variable precision approximation are defined in approximate space. The relationship between graded approximation and variable precision approximation is studied, and an important formula of conversion between them is achieved The product approximation of grade and precision is defined and its basic properties are studied.

Geochemical Characteristics of Archean High-Grade Terrain of Kongling Complex and Early Crustal Evolution of Yangtze Craton

This paper reports the systematic studies of geochemistry on the meta sedimentary rocks, felsic gneisses and amphibolites of the Kongling complex from the Archean high grade terrain of the Yangtze craton. It shows that the amphibolites originated from a weakly depleted mantle resource. Nb negative anomaly, negative ε (Nd, t ) and the t DM ages which older than their isochron ages of the TTG gneisses imply the possible existence of the crust older than round about 2.7 Ga in the region. Three types of meta sedimentary rocks are identified from the Kongling complex. The first type originated from the juvenile crust with the features of the first cycle sedimentary rocks. Cratonic sedimentary rocks characterize the second type. Mobilization of REE and other elements resulted from partial melting during the migmatization is found in the third type of meta sedimentary rocks. Apart from the early TTG gneisses, some of the mafic rocks are also expected to be the source rocks of the first type of para rocks. The deposition times of the first and second type paragneisses are closed in the Neoarchean of about 2.7 Ga and the early period of Proterozoic respectively, and the period when cratonization of the Yangtze continental block completed is referred to be earlier than the Mesoproterozoic. Nd isotopic tracing on the magma sources of the Jinning granitic rocks in the region reveals that the major part of the Kongling basement is Neoarchean.

MMSET在卵巢高级别浆液性癌组织中表达及其对癌细胞侵袭迁移的影响

目的探究卵巢高级别浆液性癌组织中多发性骨髓瘤SET结构域蛋白(MMSET)表达及其对卵巢癌细胞侵袭迁移能力的影响。方法收集卵巢高级别浆液性腺癌组织45例份、正常卵巢组织27例份,分别应用RTPCR法、Western blotting法检测组织中MMSET表达。取人卵巢癌细胞系CAOV3及OVCAR3,分为si-NC组及siMMSET组,si-NC组转染空白质粒,si-MMSET组转染靶基因质粒。应用划痕实验、Transwell小室实验测定卵巢癌细胞迁移、侵袭水平,Western blotting法检测P-AKT、AKT蛋白表达。结果卵巢高级别浆液性癌组织中MMSET表达高于正常卵巢组织(P<0.05);MMSET表达与患者淋巴结转移、腹水量及CA125水平有关(P均<0.05);si-NC组及si-MMSET组CAOV3卵巢癌细胞MMSET相对表达量分别为0.9586±0.1472,0.4454±0.0516,OVCAR3卵巢癌细胞MMSET相对表达量分别为0.8307±0.0796,0.5304±0.0670,两组比较,差异有统计学意义(P均<0.05)。划痕实验结果显示,48 h后卵巢癌细胞CAOV3si-NC组及si-MMSET组的划痕面积变化率分别为47.21%±5.38%、22.22%±6.20%;卵巢癌细胞OVCAR3si-NC组及si-MMSET组的划痕面积变化率分别为57.52%±2.76%、28.03%±2.48%,两组比较,差异有统计学意义(P均<0.05)。Transwell小室实验结果显示,卵巢癌细胞CAOV3 si-NC组及si-MMSET组的穿膜细胞数分别为(27±4)、(10±2)个,卵巢癌细胞OVCAR3 si-NC组及siMMSET组的穿膜细胞数分别为(70±5)、(33±3)个,两组比较,P均<0.05。si-NC组及si-MMSET组卵巢癌细胞CAOV3中P-AKT蛋白相对表达量分别为0.457 1±0.152 8、0.223 9±0.121 0,卵巢癌细胞OVCAR3中P-AKT蛋白相对表达量分别为0.657 0±0.106 8、0.439 9±0.100 2,两组比较,差异有统计学意义(P均<0.05)。结论卵巢癌高级别浆液性癌组织中MMSET呈过表达,过表达的MMSET能促进卵巢癌细胞侵袭迁移。

A Project Risk Ranking Approach Based on Set Pair Analysis

Set Pair Analysis (SPA) is a new methodology to describe and process system uncertainty. It is different from stochastic or fuzzy methods in reasoning and operation, and it has been applied in many areas recently. In this paper, the application of SPA in risk ranking is presented, which includes review of risk ranking, introduction of Connecting Degree (CD) that is a key role in SPA., Arithmetic and Tendency Grade (TG) of CDs, and a risk ranking approach proposed. Finally a case analysis is presented to illustrate the reasonability of this approach. It is found that this approach is very convenient to operate, while the ranking result is more comprehensible.

基于沥青砂涂层设计的沥青混凝土路面抗紫外光老化性能分析

针对沥青路面光老化问题,参照含砂雾封层技术原理,基于沥青抗紫外光添加剂最优组合,制备含砂沥青涂层,开展不同级配和厚度的沥青砂涂层试验研究,通过沥青混凝土高低温性能试验和抗滑性能试验分析含砂涂层设计下沥青混凝土路面抗光老化性能,结果表明:涂层设计下沥青路面老化前后抗滑性能降低,但是相比于无涂层时老化后降低幅度变小且仍满足规范要求,在不考虑抗滑损失的情况下,可选择使用;老化后高低温路用性能试验说明增加路表面密实度可以提高抗光老化能力,但是涂层厚度不宜过厚,以基本完全填充混凝土表面空隙最好,建议理论厚度2 mm,要重点考虑细料涂层的级配设计,适当提高沥青砂中较大粒径的比例对封层设计效果会更好。

基于配网继电保护整定原则的工程案例分析

现场保护装置存在因电流互感器变比和定值整定范围受限,造成定值无法正常整定的现象。文章根据配网继电保护整定原则,针对具体案例对“退出过流Ⅰ段保护”和“按装置最大值整定”两种场景进行分析,确定“退出过流Ⅰ段保护”可实现级差配合,避免出现各级开关同跳闸、越级跳闸情况,缩小停电范围,提高供电可靠性。

程度粗糙集

从广义程度粗糙集出发,定义了程度粗糙集,深入讨论了其内部构造,得出了程度粗糙集简化运算的重要方法.对比经典粗糙集性质,研究了程度粗糙集3个方面的性质:集合与其程度近似集的关系、程度近似算子的幂作用、程度边界算子对粗糙集性质的修正.得出了若干具有理论和应用价值的结果,并从算子论和集合论的角度丰富了粗糙集理论.

多级模糊评判法在公路网规划方案评价中的应用

通过对公路网规划方案评价指标体系总体分析 ,运用层次分析法 (AHP)实现对评价指标的选取 ,运用模糊统计方法确定非定量指标的隶属度 ,而对于定量评价指标隶属度值 ,则按效益型指标和成本型指标分别加以确定 ,运用频数统计法确定评价指标的权重 。

程度与精度的逻辑差粗糙集模型

基于程度与精度的逻辑差需求,提出了程度与精度的逻辑差粗糙集模型,并定义了粗糙集区域概念。通过变精度近似与程度近似的转化公式,得到了粗糙集区域的基本结构,提出了计算粗糙集区域的常规算法和结构算法,进行了算法分析与比较,探索并得到了模型在决策表中的应用方向。通过该模型拓展了程度粗糙集模型和经典粗糙集模型。

关于改进新高考选考科目赋分方案的若干思考

新高考改革的重要内容之一是将学业水平考试选考科目实行等级赋分,并计入高考总成绩。结合新一轮高考改革的相关政策文件和相关研究结果,以及试点省份的实践反馈等,通过梳理现有选考科目等级赋分的优点和可能存在的缺陷,并对其原因进行探讨,从兼顾科学性、公平性和可操作性出发,提出改进选考科目赋分的方案,为进一步深化考试改革提供参考建议。

基于集对原理的峰和量关系分析

尝试将集对原理用于洪峰和洪量关系分析,以岷江上游紫坪铺站的洪水为例进行计算,并将集对分析中的联系度和常用的相关系数、隶属度和灰色关联度作了对比分析。结果表明,尽管集对法与传统法分析结果一致,但集对法计算简单,使用方便,特别是能清晰和形象地显示关系的结构,在实践中具有潜在优势。

磷建筑石膏的特性及其改性

磷建筑石膏在组成和结构上与天然建筑石膏不同,对其加以改性后能更好地代替天然建筑石膏使用。采用激光粒度分析仪和扫描电子显微镜,结合物理力学性能测试发现磷建筑石膏颗粒分布集中,平均粒径约为30μm,晶体多呈板柱状;浆体显酸性,初凝时间短,标准稠度需水量大,性能波动不定。在生产磷建筑石膏时,通过粉磨改性控制其比表面积在3500～4500 cm2/g;通过添加Ca(OH)2调整浆体的pH值;加缓凝剂对凝结时间加以改性,但需要调整浆体的pH值。

浅色松香酯的扩大试验与性能研究

采用传统松香酯生产设备及工艺，用ＷＸＦ浅色剂生产松香甘油酯及季戌四醇酯，其加纳色号分别可达５～６级和４～７级。产品热稳定性和抗氧化性能明显优于传统松香酯，可大幅度提高以松香酯为原料的化学品质量，而生产成本并不增加。

聚类、粗糙集与决策树的组合算法在地力评价中的应用

【目的】地力评价方法大多数有一定的主观性,较少考虑土壤各属性间的依赖关系。论文旨在采用数据挖掘方法,寻求地力等级划分的新方法。【方法】结合农安县耕地调查数据,应用K-means聚类方法、Johnson粗糙集属性约简算法与C4.5决策树算法相结合的优化算法评价地力等级。【结果】使用K-means聚类方法,得到最佳学习样本数;使用粗糙集属性约简和决策树相结合的方法,去掉了冗余属性7个,决策树模型共有节点317个,其中叶节点个数为159个,生成规则159条,模型准确率为82.08%。与未聚类和未约简的方法相比,决策树结点个数减少41.62%。【结论】使用该组合算法,在保证模型准确率的同时,降低了算法的时间和空间复杂性,提高了挖掘效率。