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。     

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。     

计算机在学生综合素质模糊评价中的应用

利用模糊数学的理论，对大学生的综合素质进行科学评价，同时应用 Ｖｉｓｕａｌ Ｆｏｘｐｒｏ编程技术开发系统软件实现了评价工作的自动化．     

不精确推理机制的模糊逻辑解释

本文采用真值取在布尔代数上的模糊逻辑从理论上解释了专家系统中的不精确推理机制.     

Simulation Modeling by Fuzzy Nets

Fuzzy technology is a newly developed discipline based on fuzzy mathematics. In the recent years, it has been successfully applied into many areas, such as process control, diagnosis,evaluation, decision making and scheduling, especially in simulation where accurate mathematical models can not or very hard be established. In this paper, to meet the demands of fuzzy simulation, two fuzzy nets will first be presented, which are quite suitable for modeling the parallel or concurrent systems with fuzzy behavior. Then, a concept of active simulation will be introduced, in which the simulation model not only can show its fuzzy behavior, but also has a certain ability which can actively perform many very useful actions, such as automatic warning, realtime monitoring, simulation re-sult checking, simulation model self-adapting, error recovery, simulating path tracing, system states inspecting and exception handling, by a unified approach while some specified events occur. The simulation model described by this