模糊数学方法在矿井自然地质条件评价中的应用

运用模糊数学理论，对直接制约煤矿开采与生产经济效果的矿井自然地质条件的评价原理和方法进行了一些探讨     

On C-left Hyp erideals of Ordered Semihyp ergroups

In this paper, the concept of C-left hyperideals is introduced in ordered semihypergroups, and several related properties are investigated. In particular, we discuss the relationships between the greatest left hyperideals and C-left hyperideals of ordered semihypergroups. Furthermore, we introduce the concept of left bases of an ordered semihypergroup, and give out the sufficient and necessary conditions of the existence of the greatest C-left hyperideal of an ordered semihypergroup by the properties of left bases. The result about C-left ideals in ordered semigroups is generalized to the ordered semihypergroups.     

基于模糊神经网络我国仓储运输业上市公司企业规模实证研究

一个行业或企业的规模大小处于一种什么状态,是否合适,这是企业所关心的问题.在交易成本等规模经济理论及西方经济学生产函数理论的基础上,构建了企业规模函数指标,通过模糊神经网络对中国仓储运输业上市公司的企业规模的发展状态进行了实证研究.研究结果表明,我国仓储运输业上市公司的企业规模普遍偏小.     

非绝对模糊积分,绝对可积性与积分的绝对值不等式

关于模糊数值函数的绝对可积性及对应的积分不等式,无论在何种绝对值意义下是值得讨论的. 本文借助于模糊数空间到具体的 Banach 空间上的嵌入定理和模糊非绝对积分的刻划定理, 讨论了模糊数值函数的绝对可积性及对应的积分不等式,得到了若干个充分必要条件, 并举出了一些反例.     

Subdivision schemes for the fair discretization of the spherical motion group

We present two subdivision schemes for the fair discretization of the spherical motion group. The first one is based on the subdivision of the 600-cell according to the tetrahedral/octahedral subdivision scheme in [S. Schaefer, J. Hakenberg, J. Warren, Smooth subdivision of tetrahedral meshes, in: R. Scopigno, D. Zorin (Eds.), Eurographics Symposium on Geometry Processing, 2004, pp. 151–158]. The second presented subdivision scheme is based on the spherical kinematic mapping. In the first step we discretize an elliptic linear congruence by the icosahedral discretization of the unit sphere. Then the resulting lines of the elliptic three-space are discretized such that the difference in the maximal and minimal elliptic distance between neighboring grid points becomes minimal.     

On Some Entire Modular Forms of an Integral Weight for the Congruence subgroup Γ0(4N)

Four types of entire modular forms of weight are constructed for the congruence subgroup ₀(4N) when s is even. One can find these forms helpful in revealing the arithmetical meaning of additional terms in the formulas for the number of representations of positive integers by positive quadratic forms with integral coefficients in an even number of variables.     

Lan of Thinned Empirical Processes with an Application to Fuzzy Set Density Estimation

We establish local asymptotic normality of thinned empirical point processes, based on n i.i.d. random elements, if the probability of thinning satisfies . It turns out that the central sequence is determined by the limit of the coefficient of variation of the tangent function. The central sequence depends only on the total number of nonthinned observations if and only if this limit is 1 or –1. In this case under suitable regularity conditions, an asymptotically efficient estimator of the underlying parameter can be based on only. An application to density estimation leads to a fuzzy set density estimator, which is efficient in a parametric model. In a nonparametric setup, it can also outperform the usual kernel density estimator, depending on the values of the density and its second derivative.     

The finite 1- affine complete Frobenius groups

We show that compatible functions can be lifted from quotients modulo distributive minimal normal subgroups. This enables us to describe the 1-affine complete groups with a distributive minimal normal subgroup. As an application, we characterise thek-affine complete finite Frobenius groups for everyk ∈ N.     

The Semigroup Structure of Left Clifford Semirings

In this paper,we generalize Clifford semirings to left Clifford semirings by means of the so-called band semirings.We also discuss a special case of this kind of semirings,that is, strong distributive lattices of left rings.