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1.
定义了L-fuzzy拓扑空间中加强的相对正则分离性,讨论了加强的相对正则分离性的一系列性质,证明了加强的相对正则分离性是遗传的,闭集传递的,弱同胚不变的,并且有L-好的推广性质.最后对加强的相对正则分离性与相对正则分离性作了比较.  相似文献   

2.
定义了一种新的L fuzzy拓扑空间中相对正则与相对正规分离性,记作相对N 正则分离性与强相对N 正规分离性 证明了它们不仅强于与文献[4]对应的相对正则与相对正规分离性,而且还有遗传性、L 好的推广、相对闭遗传性等一系列好的性质  相似文献   

3.
加强的相对T1与相对Hausdorff分离性   总被引:1,自引:0,他引:1  
定义了L-fuzzy拓扑空间中的加强的相对T1与相对Hausdorff分离性,讨论了加强相对T1与加强相对Haus-dorff分离性的一系列性质,证明了加强的相对T1与加强的相对Hausdorff分离性是遗传的、弱同胚不变的,并且具有可乘性.并对相对T1分离性与加强的T1分离性,相对Hausdorff分离性与加强的相对Hausdorff分离性作了比较.  相似文献   

4.
L-fuzzy相对T-1,相对T0与相对次T0分离性   总被引:1,自引:0,他引:1  
定义了L-fuzzy拓扑空间中的相对T-1,相对T0与相对次T0分离性,讨论了相对T-1,相对T0与相对次T0分离性的一系列性质.证明了相对T-1,相对T0与相对次T0分离性是遗传的、传递的、弱同胚不变的及可乘性等性质,并给出了一些例子。  相似文献   

5.
讨论Pawlak粗糙集的一些拓扑性质,指出它等价于一类特殊的正则拓扑空间. 讨论了这类拓扑空间的Hausdorff分离性和连通性,证明了一个一般二元关系下的粗糙集模型当且仅当它自反和传递的时候可定义一个拓扑空间,每一个拓扑空间是一个关系下的近似空间.  相似文献   

6.
以L-fuzzy拓扑空间中的几乎可数层仿紧集为背景,介绍了L-fuzzy双拓扑空间中的几乎可数层仿紧集的定义,并刻画了其基本特征.深入研究了L-fuzzy双拓扑空间中几乎可数层仿紧集的性质,并证明了它是"L-好的推广".  相似文献   

7.
文章定义了加强的弱L—fuzzy Hausdorff空间。讨论了SRHausdorff空间与其他分离性的关系,给出了它的等价刻画,讨论了SRHausdorff分离性的一系列性质。证明了SRHausdorff分离性是可遗传的、弱同胚不变的、L—好的推广性质,并且具有可乘性。  相似文献   

8.
闭图像定理表明Banach空间中线性算子图像的闭性蕴含算子的连续性.相反地,一个更一般的结论是从拓扑空间到Hausdorff空间的映射的连续性蕴含其图像的闭性.本文通过举例说明了其逆命题不成立,特别强调了值域空间的Haudorff分离性的重要性.此外,利用此结论证明了Banach空间中线性算子对于弱拓扑的连续性与对于强拓扑的连续性等价.最后,通过对值域空间附加紧致性条件建立了从一个拓扑空间到一个紧致Hausdorff空间的映射的连续性与其图像闭性之间的等价刻画.  相似文献   

9.
主要讨论了LF拓扑空间上的T2和弱T2分离性的关系,给出了二之间的一些等价条件,并得出了弱T2空间的一些好的性质.  相似文献   

10.
进一步研究L-fuzzy几乎良紧性的特征及其与良紧性、近似良紧性、几乎F紧性、可数良紧性和NS闭性等概念之间的关系。证明了L-fuzzy几乎良紧性是L-fuzzy θ-闭遗传的和拓扑不变的等重要性质。  相似文献   

11.
正态性检验方法在教学研究中的应用   总被引:1,自引:0,他引:1  
针对目前很多研究者在进行正态性检验时仅会依据自己的习惯或喜好来选择方法这一状况,文章从常用方法中选取Jarque-Bera检验、Shapiro-Wilk检验、D'Agostino检验、KolmogorovSmirnov检验以及Lilliefors检验这五种正态性检验方法进行简要论述,利用Monte Carlo法分析比较五种检验在不同样本量的不同分布下的检验功效或Ⅰ型错误率,再结合SAS、SPSS和R这三种常用的教学统计软件,讨论正态性检验方法的选取问题,以期为科研工作者选择正态性检验方法时提供参考。  相似文献   

12.
Power and stability of Type I error rates are investigated for the Box-Scheffé test of homogeneity of variance with varying subsample sizes under conditions of normality and nonnormality. The test is shown to be robust to violation of the normality assumption when sampling is from a leptokurtic population. Subsample sizes which produce maximum power are given for small, intermediate, and large sample situations. Suggestions for selecting subsample sizes which will produce maximum power for a given n are provided. A formula for estimating power in the equal n case is shown to give results agreeing with empirical results.  相似文献   

13.
学术性与师范性之争是综合性大学教师培养的“斯可尼芬”之迷。怎样解答这个争论百年的“热门话题”呢?只有坚持和提倡教师专业化,把二者作为教师专业性———这一块金币的两面,才能促进问题的解决,也才能促进教师专业的发展。教师培养的学术性与师范性实际是教师专业性的两个极端,在两极之间有许多中间状态,不同时期可以根据社会、经济、文化等因素和培养目标的不同而有所侧重。可以通过大学化、专业发展学校、案例教学、建立专业学院等措施,促进综合性大学教师培养的专业性的发展。  相似文献   

14.
Kubiak在文献[1]中研究了I(L)型诱导空间中的正规性,complete正规性以perfect正规性与LX中相应概念之间的关系,得到了三个重要的定理.本文将这一结果推广到R(L)型诱导空间情形.  相似文献   

15.
A multiple testing procedure for examining the assumption of normality that is often made in analyses of incomplete data sets is outlined. The method is concerned with testing normality within each missingness pattern and arriving at an overall statement about normality using the available data. The approach is readily applied in empirical research with missing data using the popular software Mplus, Stata, and R. The procedure can be used to ascertain a main assumption underlying frequent applications of maximum likelihood in incomplete data modeling with continuous outcomes. The discussed approach is illustrated with numerical examples.  相似文献   

16.
Gibbons and Chakraborti's (1991) interpretation of recent simulation results and their recommendations to researchers are misleading in some respects. The present note emphasizes that the Mann-Whitney test is not a suitable replacement of the Student t test when variances and sample sizes are unequal, irrespective of whether the assumption of normality is satisfied or violated. When both normality and homogeneity of variance are violated together, an effective procedure, not widely known to researchers in education and psychology, is the Fligner-Policello test or, alternatively, the Welch t' test in conjunction with transformation of the original scores to ranks.  相似文献   

17.
结合教学实际阐述了成绩正态分布检验的意义,用拟合优度的χ2检验法对成绩分布进行正态性检验。指出经过完善后的拟合优度χ2检验法更加合理,更具有实际意义。  相似文献   

18.
Treating Likert rating scale data as continuous outcomes in confirmatory factor analysis violates the assumption of multivariate normality. Given certain requirements pertaining to the number of categories, skewness, size of the factor loadings, and so forth, it seems nevertheless possible to recover true parameter values if the data stem from a single homogeneous population. It is shown that, in a multigroup context, an analysis of Likert data under the assumption of multivariate normality may distort the factor structure differently across groups. In that case, investigations of measurement invariance (MI), which are necessary for meaningful group comparisons, are problematic. Analyzing subscale scores computed from Likert items does not seem to solve the problem.  相似文献   

19.
In standard interval mapping (IM) of quantitative trait loci (QTL), the QTL effect is described by a normal mixture model. When this assumption of normality is violated, the most commonly adopted strategy is to use the previous model after data transformation. However, an appropriate transformation may not exist or may be difficult to find. Also this approach can raise interpretation issues. An interesting alternative is to consider a skew-normal mixture model in standard IM, and the resulting method is here denoted as skew-normal IM. This flexible model that includes the usual symmetric normal distribution as a special case is important, allowing continuous variation from normality to non-normality. In this paper we briefly introduce the main peculiarities of the skew-normal distribution. The maximum likelihood estimates of parameters of the skew-normal distribution are obtained by the expectation-maximization (EM) algorithm. The proposed model is illustrated with real data from an intercross experiment that shows a significant departure from the normality assumption. The performance of the skew-normal IM is assessed via stochastic simulation. The results indicate that the skew-normal IM has higher power for QTL detection and better precision of QTL location as compared to standard IM and nonparametric IM.  相似文献   

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