Fuzzy集的基数问题

熟知,关系与映射,基数与序数是经典庥合论中的精髓,然而在模糊集论中模糊集基数的研究进展甚微,本对[1]给出的Fuzzy集基数进行分析,指出其没有把普通集基数作为特例的不合理性,沿用文[2]中利用Fuzzy映射来定义Fuzzy集基数的思路,定义了Fuzzy集的基数,这种Fuzzy集基数能以普通集基数作为特例,并对Fuzzy集的基数问题进行研究,得到了与普通基数的基础定理平行的一系列基础定理,对Fuzzy基数的研究有一定的启示。     

剖分及其精细化模型

本文讨论了剖分的另一类模型——精细剖分模型。主要结果是:给出了精细剖分数的递归关系式:建立了一般剖分数与精细割分数之间的相互关系;还给出了精细剖分与精细划分之间的关系。     

公司选举中累积投票制的经济法分析

从经济法学角度分析了从美国引进的累积投票制,在我国实际应用中存在不能保护小股东的利益、效益甚微的现象。结合目前我国的经济发展和公司法中的效率理论,应该合理运用小股东权利益受损后的事后救济、市场自发调节等机制,才能最大程度维护股东和公司利益。     

A mixed double sampling plan based on Cpk

Abstract

Acceptance sampling plans are quality tools for the manufacturer and the customer. The ultimate result of reduction of nonconforming items will increase the profit of the manufacturer and enhance the satisfaction of the consumer. In this article, a mixed double sampling plan is proposed in which the attribute double sampling inspection is used in the first stage and a variables sampling plan based on the process capability index C_pk is used in the second stage. The optimal parameters are determined so that the producer’s and the consumer’s risks are to be satisfied with minimum average sample number. The optimal parameters of the proposed plan are estimated using different plan settings using two points on the operating characteristic curve approach. In designing the proposed mixed double sampling plan, we consider the symmetric and asymmetric nonconforming cases under variables inspection. The efficiency of the proposed plan is discussed and compared with the existing sampling plans. Tables are constructed for easy selection of the optimal plan parameters and an industrial example is also included for implementation of the proposed plan.     

Computationally efficient familywise error rate control in genome-wide association studies using score tests for generalized linear models

In genetic association studies, detecting phenotype–genotype association is a primary goal. We assume that the relationship between the data—phenotype, genetic markers and environmental covariates—can be modeled by a generalized linear model. The number of markers is allowed to be far greater than the number of individuals of the study. A multivariate score statistic is used to test each marker for association with a phenotype. We assume that the test statistics asymptotically follow a multivariate normal distribution under the complete null hypothesis of no phenotype–genotype association. We present the familywise error rate order k approximation method to find a local significance level (alternatively, an adjusted p-value) for each test such that the familywise error rate is controlled. The special case k=1 gives the Šidák method. As a by-product, an effective number of independent tests can be defined. Furthermore, if environmental covariates and genetic markers are uncorrelated, or no environmental covariates are present, we show that covariances between score statistics depend on genetic markers alone. This not only leads to more efficient calculations but also to a local significance level that is determined only by the collection of markers used, independent of the phenotypes and environmental covariates of the experiment at hand.     

2011-2015年河北省11所重点骨干大学学术表现对比分析与研究——基于Scopus数据库统计分析

文章以河北省11所重点骨干大学为研究对象,以我馆引进的Scopus数据库为数据来源,利用文献计量学的方法对近五年来河北省11所重点骨干大学的学术表现如发表论文数量、被引次数、篇均被引次数、论文H指数以及综合学术表现等各项指标进行对比分析与研究,了解河北省11所重点骨干大学的学术成就和影响力,对它们的整体情况做出比较客观、全面的评价,并提出进一步提高学术研究水平的建议。     

占有数表象的由来和应用

在研究线性谐振子的能级和相干态时，占有数表象是十分有用的，作者对占有数表象的由来作出探索，并介绍它的应用．     

模糊实物期权在风险投资项目决策中的应用

在对传统的NPV法分析的基础上,利用实物期权方法结合NPV法对风险投资项目进行投资决策。但是现有的风险投资项目实物期权方法均假定期望现金流现值和投资成本为确定值,而实际上由于风险投资项目的高不确定性,该假设是不现实的。因此本文假设期望现金流现值和投资成本为梯形模糊数,运用模糊实物期权方法计算风险投资项目的期权价值和投资延迟时间。     

经营者参与企业利润分配的合理性分析

如何激励经营者已成为企业改革中的首要问题.理论界对这问题的研究也很多,几乎一致的看法是让经营者参与企业的利润分配,但是忽略了这与企业利润完全由所有者占有的传统逻辑相矛盾.这个矛盾实际已成为制定经营者激励政策的障碍因素,因此对经营者参与企业利润分配合理性研究具有重要的现实意义.     

明初军额考

明代军队分京营、边兵、外卫三种,其军额变化情况是一个尚待深入研究的问题。明初北边官兵约有69万,而《万历明会典》有关明初军数“原额”的记载只有大同一镇比较符合史实。京营方面,洪武朝“居重驭轻”之制根本没有得到贯彻,永乐时期才是真正的实施阶段,而且不久便趋于衰落。