$I$-模糊拓扑空间中的模糊紧度

本文借助不等式给出了$I$-模糊拓扑空间中模糊紧度的概念, 并研究了相关的性质.     

一阶模糊谓词逻辑公式的解释模型真度理论及其应用

基于一阶模糊谓词逻辑公式的有限和可数解释真度的理论,引入了一阶模糊谓词逻辑公式的解释模型及解释模型真度的概念,并讨论了它们的一系列性质及其在近似推理中的应用.     

带两个形状参数的同次Bézier曲线

构造了一种带两个形状参数的Bézier型曲线,并研究了该曲线的性质、形状参数对曲线的影响及曲线的拼接.所提出的曲线是多项式Bezier曲线的一种同次新扩展,不仅具有传统Bézier曲线的诸多性质,而且可通过修改两个形状参数的取值对其形状进行调节.由于所提出的曲线是一种带有形状参数且与传统Bézier曲线具有相似性质的同次多项式模型,因此比现有的一些带形状参数的Bézier型曲线更有优势.     

一个基于模糊随机集的粗糙近似算子的性质及应用

利用贴近度（或相似度）N（B,A）提出了模糊随机近似空间里的一种基于模糊随机集的粗糙近似算子,讨论了该种近似算子的一些主要性质;成功地探讨其在Fuzzy模式识别中的应用;最后给出了具体的例子说明了该算子用于Fuzzy模式识别的可行性。     

M-模糊化σ-代数的测度

引入了M-模糊化σ-代数的测度的概念,在这种测度定义下,一个幂集上的模糊集在某种程度上都可以看作是M-模糊化σ-代数.此外,还讨论了这种测度的刻画等性质.     

模糊合作博弈局中人参与水平间相互作用度量

本文基于经典合作博弈局中人间相互作用现象的有关度量方法,针对具有模糊联盟的合作博弈问题,给出了模糊联盟中各局中人参与水平间相互作用的度量方法,定义了水平间相互独立性概念,建立了反映局中人各参与水平间相互作用平均程度的两指标:Shapley相互作用指标及Banzhaf相互作用指标.同时对于具有k-单调性的模糊合作博弈局中人参与水平间的边缘相互作用的有关性质作了进一步研究,得出了一些新的结论.     

A nonlow2 R. E. Degree with the Extension of Embeddings Properties of a low2 Degree

We construct a nonlow₂ r.e. degree d such that every positive extension of embeddings property that holds below every low₂ degree holds below d . Indeed, we can also guarantee the converse so that there is a low r.e. degree c such that that the extension of embeddings properties true below c are exactly the ones true belowd.Moreover, we can also guarantee that no b ≤ d is the base of a nonsplitting pair.     

一类新型绝对接近关联度分析模型及应用

定义了一种新的灰色接近关联度模型—绝对接近关联度。研究了现有接近关联度的性质及问题,进而提出了新型绝对接近关联度的定义;研究了绝对接近关联度的计算方法;探讨了绝对接近关联度所具有的若干性质;将绝对接近关联度模型用于基于三角模糊数的多属性决策中,算例说明了方法的应用步骤和可行性。     

Generalized Pearson Distributions and Related Characterization Problems

This paper is concerned with a Rodrigues' formula for generating new classes of polynomials. The associated density functions belong to the family of generalized Pearson curves, which extends the classical Pearson family. Various properties of these polynomials (degree, orthogonality ...) are investigated and then exploited to derive several related results, especially characterizations, in probability.     

Box-threshold graphs

A graph is called box-threshold when all pairs of vertices with incomparable neighborhoods have the same degree. Several properties of box-threshold graphs, generalizing properties of threshold graphs, are proved. A transportation model with priority constraints is used to characterize their degree sequences. Further characterizations are given using the concept of the frame of a graph.     

A New Class of Generalized Landau Linear Positive Operator Sequence and Its Properties of Approximation

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一类广义Ball曲线的改进

Said将Ball基由三阶延伸到奇数阶。本文在任意阶上讨论广义Ball曲线性质及其求值的新一种递归算法。     

网络品牌忠诚驱动因素分类研究

将网络品牌分为传统品牌的网络延伸和网络新品牌两种形式,通过分析网络品牌忠诚的动态形成过程,构建了网络品牌忠诚驱动要素研究模型。实证研究发现,网络品牌的符号因素、属性因素、精神因素、价值观因素、传播因素、体验因素都与网络品牌忠诚正相关,但两类网络品牌忠诚的关键驱动因素存在差别。体验因素、价值观因素和属性因素是网络新品牌忠诚的关键驱动因素,而属性因素、体验因素和传播因素对网络化的传统品牌忠诚度有重要影响。     

基于最大——最小贴近度的IOWA算子最优组合预测模型

将最大一最小贴近度与IOWA算子相结合,建立了基于最大一最小贴近度的IOWA算子最优组合预测模型,并且定义了在最大一最小贴近度下非劣性组合预测、预测方法优超等概念.在此模型下,研究了模型的非劣性组合预测及优性组合预测存在的充分条件.最后给出实例分析,表明该组合预测方法的有效性.     

$L$-Fuzzy拓扑空间中的可数紧性度和Lindel\"{o}f性质度

In this paper,the concept of countable compactness degree and the concept of Lindelf property degree are defined in L-fuzzy topological spaces by means of implication operator →.Many properties of them are discussed.     

主客观组合赋权的灰色决策模型及其在消费者决策中的运用

现实中许多抽象系统的数值并不能精确地得到,在多属性决策过程中,其属性值多以模糊数或者区间灰数的形式表示,属性权重也受到主观因素和客观因素的影响,针对此类问题,以属性值为区间灰数的多属性决策问题为出发点,采用主客观结合的赋权方式,提出了基于区间距离的灰色相对关联度分析方法,构建了灰色决策模型,并通过消费者决策实例进行了分析,模型是对传统灰色决策模型的拓展,具有更广泛的应用性和实用性.     

关于随机真度的若干注记

以随机真度为基础,在三值R_0命题逻辑系统中给出了三种不同的近似推理模式并讨论了它们之间的关系,其次利用根的性质得出误差定义的若干推理结果.     

Rate of consolidation of stone column-improved ground considering change in permeability and compressibility during consolidation

In the available mathematical formulations to determine the rate of radial consolidation of stone column-improved ground, the soil properties especially permeability and compressibility are assumed to be constant during consolidation process. However, permeability changes with void ratio (void ratio also changes with consolidation) and compressibility of soil varies along the consolidation curve (compressibility is a function of effective stress and void ratio). Thus, these properties are not constant during consolidation period. In the present paper, mathematical formulation is developed to determine the rate of consolidation of stone column-improved ground due to radial flow considering change in permeability and compressibility of soft soil during consolidation period. Equal strain approach has been considered in the analysis. The parabolic variation in permeability and compressibility within smear zone are incorporated in the formulation. It is observed that the variation of degree of consolidation due to change in stress concentration ratio and diameter ratio reduces when variable soil properties are considered. The difference between the degree of consolidation obtained considering variable and constant soil properties is almost constant due to variation of smear zone parameters. The time required to achieve 90% degree of consolidation increases or decreases (depending on the properties of soil) by around 50%–100% or up to 25%, respectively, when change in soil properties during consolidation is considered.     

射影空间中代数曲线与超曲面的一些新的性质

发现了代数曲线的新的不变量一特征数,并得到了Pascal定理的不同于3次曲线的Cllasles定理和高次曲线中的Cayley-Bacharach定理等形式的高次推广.进一步研究了平面代数曲线的一些性质.通过定义m次Pascal超曲面,将Pascal定理推广到n维射影空间的m次超曲面中,证明了n-单纯形上的Pascal点位于一个m次Pascal超曲面的充要条件是其每个2维面上的Pascal点分别位于m次平面Pascal空间的一条代数曲线上.进一步,给出了一定条件下m次Pascal超曲面与m-1次Pascal超曲面之间的内在关系.