具有脉冲和无限时滞的模糊细胞神经网络的全局指数稳定性

In this paper,the global exponential stability of fuzzy cellular neural networks with impulses and infinite delays is investigated.Based on an impulsive delayed integro-differential inequality and the properties of fuzzy logic operation and M-matrix,an easily verified sufficient condition is obtained.Moreover,the exponential convergent rate for the fuzzy cellular neural networks with impulses and infinite delays is also given.An example is given to illustrate the effectiveness of our theoretical result.     

Fuzzy关系矩阵传递闭包的截矩阵-Warshall算法

根据模糊矩阵的截矩阵性质,提出了利用截矩阵求模糊关系矩阵传递闭包的一种新算法。     

（∈,∈Vq（λ,μ）-模糊（弱）正则子半群

给出了(∈,∈V q(λ,μ))-模糊(弱)正则子半群和广义模糊(弱)正则子半群的概念及刻画,并获得一些充分,必要条件.其主要结果推广了通常模糊代数里的一些相应结果.     

由规则交算子构造的具有泛逼近能力的模糊控制器的充分条件和必要条件

引进规则交算子的概念,并给出29个规则交算子;分别给出由规则交算子构造的模糊控制器具有泛逼近能力的充分条件和必要条件.     

模糊因子下知识产权保护与侵犯的动态博弈分析

针对知识产权屡禁不止的侵权行为现状,运用模糊数学、数理统计方法和博弈论原理,从知识产权保护和侵犯双方效用及模型出发,以系统和动态的视角对双方行为进了博弈分析.研究结果表明保护与侵犯构成为一对均衡策略状态,其主要原因在于一定条件下,保护方期望的效用均衡处于低水平态势,从而提出在效用模糊因子的调整中不断提高保护方的动态效用水平是推进有效保护知识产权的动力途径.     

环上的模糊理想幂格及其强截集诱导的格

给出了环上模糊理想幂格的概念,得到相关性质。进而由环上模糊理想强截集诱导出格,讨论了它不是分配格,但为模格。同时,将环上升为主理想环,得到了模糊理想乘积的强截集等于强截集的乘积,且都为环的理想。最后,讨论了Boolean环的模糊子集为模糊理想与其伴随构成交半格的关系。     

化学化工虚拟仿真实验教学平台的建设与应用

Virtual simulation teaching is a new type of teaching mode in recent years, which is a fusion of multiple disciplines, multiple regions and multi-level laboratory teaching methods. Taking virtual simulation experiment platform construction of chemical engineering in Tianjin University as an example, this paper introduces the chemical safety knowledge, the integration of theoretical knowledge, the experimental content, the specific content of virtual simulation resources, and the characteristic of virtual simulation experiment platform. This platform provides a new model of efficient combination of virtual simulation resources and traditional teaching resources, which promotes the development of chemical laboratory teaching.     

基于合意空间的模糊子群

利用合意空间(ConsensusSpace)理论给出了一个群的C模糊子群的定义.指出这种模糊子群实际上是基于t范(Tm范)的模糊子群.证明了Rosenfeld的模糊子群是C模糊子群,且每一个C模糊子群都与一类特殊的C模糊子群同构.从而为模糊子群提供了新的理论基础.     

地区发展战略规划中的模糊集合方法

作者曾作为课题负责人之一,参加了新疆维吾尔自治区吉木萨尔县,福建省永安市和吉林省延边朝鲜族自治州的发展战略规划课题研究。这三个地区的规划中都较为系统地应用了模糊集合理论。在应用中,一方面感到模糊集合理论在这一领域有着广阔的应用前景;同时也感到现有理论的某些空缺或欠完善之处。急待进一步开发研究。本文试将几次规划的总体设计思想和相关的模型及其评价简要地介绍给大家,以期抛砖引玉并竭诚欢迎各界批评指正。     

On Mutual Transform Between Number-Difference State and Phase State Corresponding to Operational Phase Operator

In the mutual transform between the number-difference state and the phase state corresponding to the operational phase operator we find that there exists an end-point ambiguousness. This problem can be avoided by Lighthill＇s method.