机械制造系统生产水平的综合评价

运用数理统计和模糊数学的某些概念，本文提出了一种评价机械制造系统生产水平的新方法，机械制造系统可以用模糊变换器来描述，这个模糊变换器比较客观和全面地揭示机械制造系统的内在规律。借助这个模糊变换器来综合评价机械制造系统具有很大的理论和实践价值，并为机械制造系统论奠定新的基础。无心磨削系统的实验研究证明了本文基本观点的正确性。     

改进交叉评价DEA在模糊综合评价中的应用

借鉴对抗型交叉评价的思想,首先利用对抗型交叉评价DEA(数据包络分析)模型对模糊综合评价的量化指标进行评价,三角模糊化后将其作为模糊综合评价量化指标的输入与非量化指标数据合成进行二次评价,以此建构了一种基于对抗型交叉评价DEA的模糊综合评价方法.方法可从根本上解决已有评价方法中模糊量化结果的不确定性问题,使客观数据与主观因素并存的多属性决策更加可靠.最后,通过算例说明了方法的应用.     

基于熵权模糊综合评价模型的股票内在价值研究

针对股票内在价值评判方法中指标权重设定的主观性缺陷,提出在利用熵权确定各指标权重的基础上,运用模糊综合评价方法对股票会计信息的综合指标进行模糊处理,为投资者投资股票提供一种新的参考;并通过"一带一路"概念股中的五支工程基建行业类股票进行模拟实证分析,证明将会计信息进行相关量化处理,能够为投资者提供较为客观的选择,同时基于熵权的模糊综合评价模型在股票内在价值评价中具有可行性.     

模糊多级综合评价方法在企业资源评估中的应用

根据系统评价的原理，提出了企业资源系统评价的指标体系结构模型。应用模糊多级综合评价方法对其进行评价，通过实例说明这种方法在实际应用中是有效和可行的。     

多层次指标投影与模糊综合评判结论的因果分析

数据包络分析方法与模糊综合评判方法是两个十分重要但又相互独立的评价方法，如果能够找到两种方法的关联关系，进而实现两种方法的优势互补将是一项值得探讨的工作。另外，模糊指标合成后，要想应用数据包络分析方法找到更微观指标的改进信息也非常困难。为解决这些问题，本文首先基于模糊综合评判的已有信息，构建多层次模糊评价结果的可能集，并提出多层次模糊投影的定义及相应的计算公式。在此基础上，给出了测度模糊事件存在不足的定量方法。最后，以中国14个旅游省区的游客满意度为例进行了实证分析。     

基于熵权法和多层次分析法的水环境模糊综合评价研究

结合我国水环境的现状和特点构建了水环境承载能力指标评价体系,运用熵权法确定各评价指标的客观权重,将其与多层次分析法的主观权重进行合成,根据该权值对水环境进行模糊综合评价,评价结果表明,模型比单一的模糊综合评价法能够符合水环境的实际状况,从而为管理决策提供科学有效的依据.在综合评价的基础上,提出了改善水环境承载能力的建议.     

可重构制造系统重组过程中设备选择模型的研究

根据生产任务选择加工设备进行制造资源重组是实现可重构制造系统的关键问题之一，由于设备的选择涉及到多种因素，既有定量指标，又有定性指标，传统的依靠人工经验的方法显得力不从心。本文首先结合实际情况，提出了一套设备选择评价体系，通过对模糊判断矩阵采用最小对数二乘法确定各评价因素的权重系数，针对定性指标和定量指标采用不同的方法确定其性能指标值，通过模糊积分对评判指标进行综合评判，最后进行了实例研究。所提出的方法有效地简化了决策过程，为可重构制造系统设备选择提供了一套行之有效的方法。     

装备系统评价的模糊白化灰色关联模型

灰色系统理论是现代工程领域解决数据不确定性和数据量不足问题的有效方法 .装备系统的评价信息往往具有模糊性和灰色性双重特征 .模糊白化灰色关联模型源于武器系统的保障性评价 ,将其应用范围扩展到一般的武器系统评价 ,提出了装备系统评价模糊白化灰色关联模型 .在定性指标模糊白化的基础上 ,对所要评价的整个系统进行灰色关联分析 ,以得到评价结果     

基于模糊理论的教师教学质量评价的研究

为克服课堂教学质量评价工作中的主观随意性,根据不同课程类型及全员、全方位评教的原则设计了评价教师教学质量的指标.由模糊层次分析法(FAHP)确立了评价指标权重,建立了教师教学质量的模糊综合评价的数学模型.系统试用结果表明,该模型能科学、客观、公正、准确地定出被评价者的教学质量优劣.同时,开发了教师教学质量的网上模糊评价系统.     

基于数据包络分析的模糊综合评价方法

提出基于数据包络分析的模糊综合评价方法.在该方法中,对于综合评价体系中的量化指标,采用数据包络分析方法得到各评价单元的相对效率,再对相对效率进行模糊化计算,并与非量化指标一起进行模糊综合评价.利用数据包络分析的优化结果代替模糊评价中的专家评分,使模糊综合评价更具客观说服力,为一类既有客观数据,又有主观因素的复杂系统的综合评价提供新的研究思路.最后,采用该方法对出入境检验检疫系统的8个实验室进行综合评价.     

纳税信誉等级评定模型

首先构建了用于评价分析的递阶层次系统 ,然后介绍模糊决策理论及灰色系统理论在数据处理方面的应用 ,最后用两种不同的方法对模拟数据进行了分析 ,得到了企业的综合评分 .     

Fuzzy systems in innovation and sustainability

Computational and Mathematical Organization Theory - Fuzzy systems in innovation and sustainability are important topics in literature nowadays. A lot of new formulations in fuzzy systems are being...     

關閉撓曲線的全曲率

<正> §1.引言.大家知道,微分幾何學所討論的一般是關於圖形的局部性質.但是這些局部性質與圖形的整個性質間常存在有某些關係.討論圖形的整個性質的微分幾何學叫做整體性的.關於整體性微分幾何學有這樣的一個著名定理:設一關閉撓曲線C     

Lightlike surfaces of Darboux-like indicatrixes and binormal indicatrixes of spacelike curves in lightcone 3-space

In this paper, by introducing a new frame on spacelike curves lying in lightcone 3-space, we investigate the geometric properties of the lightlike surface of the Darboux-like indicatrix and the lightlike surface of the binormal indicatrix generated by spacelike curves in lightcone 3-space. As an extension of our previous work and an application of the singularity theory, the singularities of the lightlike surfaces of the Darboux-like indicatrix and the lightlike surface of the binormal indicatrix are classified, several new invariants of spacelike curves are discovered to be useful for characterizing these singularities, meanwhile, it is found that the new invariants also measure the order of contact between spacelike curves or principal normal indicatrixes of spacelike curves located in lightcone 3-space and two-dimensional lightcone whose vertices are at the singularities of lightlike surfaces. One concrete example is provided to illustrate our results.     

Singularities of Hyperbolic Gauss Maps

In this paper we adopt the hyperboloid in Minkowski space asthe model of hyperbolic space. We define the hyperbolic Gaussmap and the hyperbolic Gauss indicatrix of a hypersurface inhyperbolic space. The hyperbolic Gauss map has been introducedby Ch. Epstein [J. Reine Angew. Math. 372 (1986) 96–135]in the Poincaré ball model, which is very useful forthe study of constant mean curvature surfaces. However, it isvery hard to perform the calculation because it has an intrinsicform. Here, we give an extrinsic definition and we study thesingularities. In the study of the singularities of the hyperbolicGauss map (indicatrix), we find that the hyperbolic Gauss indicatrixis much easier to calculate. We introduce the notion of hyperbolicGauss–Kronecker curvature whose zero sets correspond tothe singular set of the hyperbolic Gauss map (indicatrix). Wealso develop a local differential geometry of hypersurfacesconcerning their contact with hyperhorospheres. 2000 MathematicalSubject Classification: 53A25, 53A05, 58C27.     

Fuzzy chance-constrained data envelopment analysis: a structured literature review,current trends,and future directions

Fuzzy Optimization and Decision Making - Fuzzy data envelopment analysis (FDEA) is one of the most applicable approaches for performance assessment of peer decision making units under ambiguity...     

Duality properties of indicatrices of knots

The bridge index and superbridge index of a knot are important invariants in knot theory. We define the bridge map of a knot conformation, which is closely related to these two invariants, and interpret it in terms of the tangent indicatrix of the knot conformation. Using the concepts of dual and derivative curves of spherical curves as introduced by Arnold, we show that the graph of the bridge map is the union of the binormal indicatrix, its antipodal curve, and some number of great circles. Similarly, we define the inflection map of a knot conformation, interpret it in terms of the binormal indicatrix, and express its graph in terms of the tangent indicatrix. This duality relationship is also studied for another dual pair of curves, the normal and Darboux indicatrices of a knot conformation. The analogous concepts are defined and results are derived for stick knots.     

An index formula for the self-linking number of a space curve

Given an embedded closed space curve with non-vanishing curvature, its self-linking number is defined as the linking number between the original curve and a curve pushed slightly off in the direction of its principal normals. We present an index formula for the self-linking number in terms of the writhe of a knot diagram of the curve and either (1) an index associated with the tangent indicatrix and its antipodal curve, (2) two indices associated with a stereographic projection of the tangent indicatrix, or (3) the rotation index (Whitney degree) of a stereographic projection of the tangent indicatrix minus the rotation index of the knot diagram.      

A triangular norm hierarchy

Triangular norms and their hierarchy are investigated. A localisation of classical T_s norms and various other norms is obtained. The class of t-norms proposed by Zimmermann, Fuzzy Set Theory and its Applications, Kluwer, Dordrecht, 1991 is placed in the above hierarchy and a proof that it is weaker (see Butnariu, Fuzzy Sets and Systems 69 (1995) 241–255) then T₁ concludes the paper.     

The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve

In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a curve in E ³. First, we consider a curve in Euclid space and investigate the Fermi-Walker derivative along the tangent. The concepts which Fermi-Walker derivative are analyzed along its tangent. Then, the Fermi-Walker derivative and its theorems are analyzed along the principal normal indicatrix and the binormal indicatrix of any curve in E ³.