模糊粗糙集的表示及应用

一个模糊粗糙集是一对模糊集,它可以用一簇经典粗糙集表示出来.本文研究了模糊粗糙集的表示问题,利用模糊集的分解定理证明了一个模糊粗糙集可以用一簇粗糙模糊集表示出来,利用这个结果可以证明模糊粗糙集的一些重要性质.     

求解具有max-t-norm合成算子的模糊关系不等式

研究一类具有max-t-norm合成算子的模糊关系不等式,该问题是模糊关系方程以及区间值模糊关系方程的推广.通过分析其解集的特点,提出一个基于筛选原则求解该类问题的算法,并给出数值算例说明该算法的有效性.     

可靠性分析中的模糊信息处理方法

在可靠性分析中,除了常见的随机不确定信息,还普遍存在着模糊不确定信息,因此在传统可靠性的基础上基于模糊理论提出了一种综合处理随机不确定信息与模糊不确定信息的可靠度计算方法。并在应力—强度干涉模型的基础上得出了未被大家重视的可靠度分布曲线,获得了能同时处理概率密度函数与隶属函数的可靠度计算模型,并探索了此模型与模糊可靠性、经典可靠性之间的内在联系。研究结果表明:在随机性与模糊性并存的情况下,此可靠性度量模型能够较好的处理随机信息与模糊信息,所得结果有很高的准确性,并且能够动态的反映可靠度的计算机理。     

模糊共生结构的加细及其性质

介绍模糊拓扑,模糊邻近,模糊拟一致框架下的模糊(半)拓扑序、模糊共生结构的概念,研究模糊(半)拓扑序,模糊共生结构的加细,得到一些重要性质。     

三级倒立摆的T-S型前馈补偿模糊神经网络控制

为解决T akag i-Sugeno型模糊神经网络在控制多变量系统时的规则组合爆炸问题,提出一种误差前馈补偿的模糊神经网络控制方案,有效实现了三级倒立摆的稳定控制。该控制方案适用对状态变量可按性质和重要程度划分的多变量系统的控制,大大减少了模糊神经网络控制器的规则数,有利于利用专家的控制经验,具有良好的鲁棒性和非线性适应能力。     

Fuzzy stability of quadratic-cubic functional equations

In this paper, the direct method and the fixed point alternative method are implemented to give Hyers-Ulam-Rassias stability of the functional equation

半群中的粗模糊理想

将粗糙集的理论方法用于模糊半群的研究。首先，给出上(下)粗模糊子半群及上(下)粗模糊理想等概念，并研究了它们的有关性质。随后，证明了上粗模糊子半群与上粗模糊理想是通常的模糊子半群与模糊理想概念的扩张。特别地，运用粗糙集的思想方法研究半群上的模糊同余及其截关系，给出它们的一些基本性质。     

A bulk arrival queueing model with fuzzy parameters and varying batch sizes

This paper develops a nonlinear programming approach to derive the membership functions of the steady-state performance measures in bulk arrival queueing systems with varying batch sizes, in that the arrival rate and service rate are fuzzy numbers. The basic idea is based on Zadeh’s extension principle. Two pairs of mixed integer nonlinear programs (MINLP) with binary variables are formulated to calculate the upper and lower bounds of the system performance measure at possibility level α. From different values of α, the membership function of the system performance measure is constructed. For practice use, the defuzzification of performance measures is also provided via Yager ranking index. To demonstrate the validity of the proposed method, a numerical example is solved successfully.     

Weakly Implicative (Fuzzy) Logics I: Basic Properties

This paper presents two classes of propositional logics (understood as a consequence relation). First we generalize the well-known class of implicative logics of Rasiowa and introduce the class of weakly implicative logics. This class is broad enough to contain many “usual” logics, yet easily manageable with nice logical properties. Then we introduce its subclass–the class of weakly implicative fuzzy logics. It contains the majority of logics studied in the literature under the name fuzzy logic. We present many general theorems for both classes, demonstrating their usefulness and importance.The work was supported by grant A100300503 of the Grant Agency of the Academy of Sciences of the Czech Republic and by Institutional Research Plan AVOZ10300504.     

模糊决策器的硬件实现

本文提出了一种硬件实现模糊决策的方法，从理论上论证了这种方法的正确性，并通过实验证明其可行。它可以应用于模糊硬件系统，以实现对连续或离散模糊信号的去模糊。