查询词典 fuzzy degree

The author proves the infimum of the degree to I-fuzzy first countability in each of I-fuzzy topilogical spaces is less than that in their productive space.

作者证明了可数个I-fuzzy拓扑空间I-fuzzy第一可数的程度的下确界一定小于它们的积空间的I-fuzzy第一可数的程度。

The fourth section is the reseach about I-fuzzy separability and I-fuzzy Lindelof property. The author introduces the concepts of I-fuzzy separability and I-fuzzy Lindelof property, and proves that the degree to I-fuzzy second countability in each of I-fuzzy topological spaces must be less than that to I-fuzzy separability and I-fuzzy Lindelof property.

第四部分是关于I-fuzzy可分性和I-fuzzy Lindelf性的研究，作者引入了I-fuzzy拓扑空间中I-fuzzy可分性和I-fuzzy Lindelf性的概念，证明了一个I-fuzzy拓扑空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是可分的I-fuzzy拓扑空间的程度，也一定小于它是Lindelf的I-fuzzy拓扑空间的程度这也是著名的I-fuzzy Lindel

The author uses I-fuzzy quasi-coincident neighborhood system to introduce the concepts of I-fuzzy first countability and I-fuzzy second countability, and proves the degree to second countability in each of I-fuzzy topological space must be less than that to first countability, and gives the equivalent characterations about the continuity of function by convergence of sequences in first countable I-fuzzy topological spaces.

作者利用方进明在[4]中提出的I-fuzzy重域系引入了I-fuzzy拓扑空间的第一可数性和第二可数性的概念，证明了一个I-fuzzy拓扑空间空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是第一可数的I-fuzzy拓扑空间的程度，并且在第一可数的I-fuzzy拓扑空间中对映射的连续性进行了等价刻画。

By describing trusty degree of information through membership function defined on the tuple, they broaden relation algebra of general meaning, add an attribute function to every tuple, define meaning of fuzzy attribute, express similar degree in the interval of fuzzy object and entity with semanteme distance in the interval of tuple, and also studys the fuzzy relation operating.

通过定义在元组上的隶属函数反映信息的可信度，对通常意义下的关系代数进行了扩展，每一元组都附一属性函数，定义了模糊属性的含义，用元组间的语义距离表示模糊对象和实体间的相似度，并对该意义下的关系操作进行了相应的研究和讨论。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

Due to the inveracity of statistical probability with little sample of disasters, the mutation progression was used to calculate the probability instead of the statistical probability and fuzzy degree instead of brittle events' value.

鉴于小样本灾害事件统计概率的不准确性，用突变级数法计算的脆性因子突变概率代替脆性风险熵计算中的统计概率，模糊数代替脆性事件结果价值。

By adding the nonmembership degree parameter to the partition matrix 〖WTHX〗U〖WTBZ〗 and objective function, the fuzzy cmeans clustering algorithm is improved. Furthermore, the iterative reasoning formula and the algorithm description are presented. Thus the technique ascribes the clustering to a linear restricted programming issue, which is applied to the status of vast samples.

通过增加非隶属度参数对模糊c〖CD*2〗均值(fuzzy cmeans， FCM)聚类算法中的模糊划分矩阵〖WTHX〗U〖WTBZ〗和目标函数进行改造，进而给出迭代推导公式和算法描述，把聚类归结为一个带约束的线性规划问题，适用于大数据量的情况。

Programming to derive fuzzy optimal solutions and fuzzy optimal classification function seta fuzzy set which value is fuzzy optimal classification function and member degree is λ(0≤λ≤ 1,therefore the linear fuzzy support vector machine is constructe...

对于非线性模糊分类问题，引入核函数，类似于线性模糊分类问题得到非线性模糊支持向量分类机。最后构造显示模糊支持向量分类机特点的模糊支持向量集取值为模糊训练点，隶属度为λ(0≤λ≤1的模糊集合。模糊支持向量分类机较好地解决了支持向量机中含有模糊信息的分类问题。

In order to embody the fuzzy character in evaluation, the traditional analytic hierarchy process is developed into a fuzzy one. The introduction of triangular fuzzy number can contain more fuzzy information of evaluation. The ranking method for reciprocal judgement matrix with triangular fuzzy numbers is also presented. Based on the mode identification process, the mathematical model of multi-level and multi-object evaluation using fuzzy approach degree is set up primarily.

为了更加有效地反映评估对象的模糊性，本研究将传统的层次分析法拓展到模糊领域，引入三角模糊数的概念，并对模糊评判矩阵的排序方法进行了研究，在此基础上，提出了基于模糊集贴进度的模式识别评估方法，建立起润扬大桥悬索桥多层次多目标综合评估模型。

Third, a fuzzy adaptive traffic controller based on fuzzy inference system is proposed. The design of the system also takes optimal cycle and relative saturation degree of different roads into consideration.

第三，提出一个以模糊推论系统(fuzzy inference system， FIS)为核心的模糊适应性交通号志管理系统，并将最佳周期以及相对路口饱和度考虑於系统的设计当中。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。