p-平均对称差度量的Cauchy问题(Ⅱ)

从集合的对称差集合的 L ebesgue测度出发 ,建立了衡量 Fuzzy数之间差异的p-平均对称差度量 dΔp,证明了 dΔp在空间 E1(K) ={ A～ |A～ ∈ E1,A0 K,K∈ I(R) }上是完备的拟度量 ,并举例说明 (E1,dΔ p)不是完备的拟度量空间。     

关于模糊集的范数

讨论了Ｆ集的几种范数的重要性质及其相互间的关系。     

中间物质和弱topos的定义

在已知范畴Ｆｕｚ，范畴ＦＲ（Ｙ），ＦｕｚＦｕｚ有“中间物质和弱ＳＣ”的基础上，利用偏序集和态射之间的偏序关系在一个抽象的范畴中给出中间物质的定义，将具有中间物质的Ｃａｒｔｅｓｉａｎ Ｃｌｏｓｅｄ范畴称为一个弱ｔｏｐｏｓ，并证明了范畴Ｆｕｚ，范畴ＦＲ（Ｙ）和范畴ＦｕｚＦｕｚ都是弱ｔｏｐｏｓ，在而在Ｃａｒｔｅｓｉａｎ Ｃｌｏｓｅｄ范畴与ｔｏｐｏｓ之间又引入了一种结构。     

Riesz Decomposition Theorems for Continuous-time Fuzzy Supermartingales

Compared with discrete-time fuzzy supermartingales, the structure and the properties of trajectories for continuous-time fuzzy supermartingales are more complex. This paper focuses on Riesz decomposition for continuous-time fuzzy supermartingales. The concepts of two types of Riesz decomposition (Riesz decomposition and level Riesz decomposition) are given and some necessary and sufficient conditions of that a continuous-time fuzzy supermartingale has Riesz decomposition are discussed in detail.     

爆破效果综合评价的模糊数学模型

本文用模糊数学原理建立了爆破效果综合评价的数学模型，并根据某露天矿爆破实测资料为例，说明了模型的应用。使定量评价爆破综合效果成为可能。     

工业过程预测-模糊控制

本文针对非线性、大滞后工业过程难以控制的共性问题 ,将预测控制和模糊控制相结合 ,提出了一种预测—模糊控制方法 ,经过仿真研究和电渣重熔炼钢实时控制 ,证实了该方法的有效性和可行性。     

基于PLC和变频器的发电机性能离车检测

在传统的发电机脸测基础上,以变频器替代调速电机,增加PLC和智能化人机交互界面,从而使得发电机的检测更加直观并易于操作。     

数据分布识别及参数估计的新方法

针对一般统计检验方法的缺点，提出利用模糊数学的方法实现数据分布的识别，并用常用的九种经验分布做了检验和应用。     

A sequential fitting procedure for linear data analysis models

A particular factor analysis model with parameter constraints is generalized to include classification problems definable within a framework of fitting linear models. The sequential fitting (SEFIT) approach of principal component analysis is extended to include several nonstandard data analysis and classification tasks. SEFIT methods attempt to explain the variability in the initial data (commonly defined by a sum of squares) through an additive decomposition attributable to the various terms in the model. New methods are developed for both traditional and fuzzy clustering that have useful theoretic and computational properties (principal cluster analysis, additive clustering, and so on). Connections to several known classification strategies are also stated.The author is grateful to P. Arabie and L. J. Hubert for editorial assistance and reviewing going well beyond traditional levels.     

Fuzzy值函数的线、面积分及其性质

本文定义了 Fuzzy值函数及其在平面或空间可度量几何体上的积分 ,从而给出了Fuzzy值函数的曲线积分和曲面积分 ,讨论了它们的性质和计算方法。