Fuzzy Modeling on L - R Fuzzy Number and Its Application

A new fuzzy modeling method, which based on L - R fuzzy number, is discussed in this paper. First, the fuzzy state equation model is constructed based on fuzzy state variable,fuzzy Input variable and fuzzy output variable whkh are represented by L - R fuzzy number. And then, identification of time - varying parameter in this model is discussed further. At the end, a simulated application is given to Indicate the effectiveness of this fuzzy modeling method.

Stabilization of CSTR w ith Self-tuning Sliding Mode Controller Using T-S Fuzzy Linearization

A self-tuning reaching law based sliding mode control(SMC)theory is proposed to stabilize the nonlinear continuous stirred tank reactor(CSTR).T-S fuzzy logic is used to build a global fuzzy state-space linear model.Combing the traits of SMC and CSTR,three fuzzy rules can meet the requirements of controlled system.The self-tuning switch control law which can drive the state variables to the sliding surface as soon as possible is designed to ensure the robustness of uncertain fuzzy system.Lyapunov equation is applied to proving the stability of the sliding surface.The simulations show that the proposed approach can achieve desired performance with less chattering problem.

Risk Assessment M ode of Sale-Leaseback——Based on Fuzzy Analytic Hierarchy Process

Sale-leaseback is paid special focus on for its great application in China in recent years.By giving a detailed analysis,an analysis of the features of sale-leaseback and a study of the risks of it are given in this paper.Then a quantitative analysis of commercial real estate sale-leaseback is carried out.The scientific theoretical analysis is provided in this paper for risk assessment in commercial real estate sale-leaseback mode in China.An effective approach is put forward for sale-leaseback project evaluation and prevention of risk.A useful means is given to supervise commerciai real estate sale-leaseback mode for relevant departments and a certain contribution is made to a further sound development of commercial real estate sale-leaseback mode.

Evaluation of the asset＇s value by using fuzzy two-stage discounted cash flow model

This paper establishes the fuzzy discounted cash flow model to settle the uncertainties of the cash flow and discount rate in two-stage DCF model, to take the imprecise of the time period of the supernormal growth phase with considering the investor＇s attitude to risk. Firstly, the discount rate and the growth rate are fuzzified as triangular fuzzy numbers in this fuzzy discounted cash flow model. Then the intrinsic value of an asset can be evaluated by the arithmetic operation on interval and λ- signed distance method under the framework of DCF approach. Finally, a listed company at Shanghai Stock Exchange is analyzed as the case to demonstrate the process of stock value calculation by the fuzzy discounted cash flow model.

小麦面粉指标关系中的Fuzzy非线性回归问题

小麦面粉指标关系大都呈现一定的模糊性.利用Fuzzy结构元理论对小麦面粉指标中的模糊关系进行了分析,给出了一种处理模糊非线性关系的Fuzzy非线性回归模型,实例表明模型适用,既为处理模糊关系提供了一种新方法,也为小麦面粉的综合研究提供参考.

Cobb-Douglas生产函数的模糊分析

本文引进模糊分析方法研究Cobb-Douglas生产函数,运用模糊线性回归分析与线性规划求得Cobb-Dou-glas生产函数的模糊弹性参数;通过一个实例表明这样求得的弹性参数较好地拟合了实际观测数据。

约束中具有Fuzzy参数的多目标规划(Ⅰ)——解的定义及其性质

考察了约束函数中具有Fuzzy参数的多目标规划 (FPVP) ,首先引进Fuzzy集来描述 (FPVP)的约束 ,然后给出α-拟有效解 ,α -有效解的定义并讨论了其基本性质 ,最后举例说明本文的解与 [2

小麦面粉指标关系中的Fuzzy回归分析

通过把模糊回归模型应用到小麦面粉指标中,得出关于小麦面粉指标间的模糊关系.这不但扩大了模糊数学的应用领域,而且对于小麦面粉各指标间关系的研究提出了一种可行的应用模型,为小麦面粉的综合研究提供参考.

Fuzzy数项级数的收敛

基于Fuzzy级数的收敛就是Fuzzy级数的部分和所组成的Fuzzy数列收敛的思想 ,讨论了三参数型Fuzzy级数在 ρ～(a～ ,b～) =supmaxa(λ) -b(λ) ,a′(λ) -b′(λ)λ∈ [0 。

模糊向量空间及Fuzzy数项级数

本文利用三参数上半连续端点函数表示模糊数,提出一种特殊的度量,在这种度量意义下,讨论Fuzzy数项级数的收敛性问题。

Fuzzy值函数无穷积分的狄利克雷审敛法

本文在三参数型Fuzzy数的基础上,给出了Fuzzy值向量函数及Fuzzy值向量函数的无穷积分的定义,从而把Fuzzy值向量函数与实函数联系起来,并且给出Fuzzy值向量函数无穷积分的狄利克雷审敛法。

Fuzzy值向量函数的极限

本文以三参数型Fuzzy数为基础,建立了Fuzzy值向量函数的概念,从而把Fuzzy值向量函数与实函数联系起来,讨论了Fuzzy值向量函数的极限的性质。

Time variant multi-objective linear fractional interval-valued transportation problem

This paper studies a time-variant multi-objective linear fractional transportation problem. In reality, transported goods should reach in destinations within a specific time. Considering the importance of time, a time-variant multi-objective linear fractional transportation problem is formulated here. We take into account the parameters as cost, supply and demand are interval valued that involved in the proposed model, so we treat the model as a multi-objective linear fractional interval transportation problem. To solve the formulated model, we first convert it into a deterministic form using a new transformation technique and then apply fuzzy programming to solve it. The applicability of our proposed method is shown by considering two numerical examples. At last, conclusions and future research directions regarding our study is included.

Output Feedback Controller Design for Discrete-time Switched Singular Systems

This paper is concerned with the problems of robust admissibility and static output feedback( SOF)stabilization for a class of discrete-time switched singular systems with norm-bounded parametric uncertainties.The objective is to design a suitable robust SOF controller guaranteeing the regularity,causality and asymptotic stability of the resulting closed-loop system under arbitrary switching laws. Based on the basic matrix inequality sufficient condition for checking the admissibility of switched singular systems,together with some matrix inequality convexifying techniques,the SOF controller synthesis is developed for the underlying systems. It is shown that the controller gains can be obtained by solving a set of strict linear matrix inequalities( LMIs). A simulation example is given to show the effectiveness of the proposed method.

时序数据驱动的化工过程风险动态预警研究

对化工过程进行在线监测与动态风险预警是降低事故发生的有效途径。提出了一种基于深度学习时序预测与模糊数学定量风险评估相结合的预警方法。针对化工过程数据的动态性、时序性、非线性强,且预测周期短等问题,将卷积神经网络(Convolutional Neural Networks,CNN)与长短期记忆网络(Long Short-Term Memory,LSTM)模型结合形成深度学习时序预测模型,实现过程参数108 min的超前预测。将该方法应用于合成氨过程,对温度、压力、流量、氢氮比等6个风险参数进行预测。结果表明,该预测方法具有较高的预测精度,其线性回归相关系数及均方根误差表明所提出的方法具有非常高的精度。同时利用三角模糊数对时序预测结果进行风险评估,得到时序风险变化曲线,实现了化工过程风险预警。研究对使用人工智能和大数据实现过程控制和风险预警进行了有益探索,为实现化工过程的超前预警提供参考。

滇东南至桂西南铁路通道规划方案研究

铁路规划是铁路建设项目实施的前提和基础,其方案将影响项目财务效益、区域路网分工,乃至沿线国土资源开发和区域经济社会发展。为合理布局滇东南、桂西南地区铁路通道,结合中长期铁路网规划,提出南昆铁路扩能、新建蒙自—文山—百色、新建蒙自—文山—靖西、新建蒙自—文山—防城港一次性实施和分段实施共5个备选方案。基于区域运输需求预测,对不同路网条件的通道运量进行动态分配,得到各规划方案的客货运量。考虑与项目可研、初步设计等阶段相比,规划研究阶段使用的定量指标普遍较少,且数据多为估算值,精度偏低,结合规划阶段基础信息的可获取性,构建了由工程投资、建设工期、财务内部收益率、路网能力利用均衡性、运输时效、路网分工以及国土覆盖共7个指标的方案评价体系。为提高决策的科学性,减少人为主观因素影响,采用三角模糊数对专家给出的指标权重以及各方案的定性指标进行转化,并运用TOPSIS法,测算各方案的相对贴近度,对规划方案进行排序选优。计算结果显示,新建蒙自经文山至靖西方案得分最高,应作为滇东南至桂西南地区的铁路通道。

The Refined Solutions on Multiobjective Programming Problems with Fuzzy Parameters in the Constraints

This paper investigates the multiobjective programming problems with fuzzy parameters in the constraints. First, by the decomposing theorem, we introduce a fuzzy set to characterize the constraints, then give the definition of α-quasi-efficient solution and a-efficient solution, and discuss their properties. Finally, a numerical example is presented to illustrate the differences between the refined solutions and the α-Pareto solution.

基于模糊理论的不精确可靠性数据的使用

讨论了在可靠性分析中不精确可靠性数据的利用。用模糊算法对来自同一母体的不同样本的各种资源的数据进行了综合,将几个同类型不同概率分布转化成一个模糊化分布。首先,将可靠性中常用分布的分布参数模糊化,推导出模糊参数的概率分布;其次,将来自不同信息源的各个分布相同参数的不同值综合成一个模糊数参数,用模糊化概率分布计算失效概率;最后,用一算例说明了该方法的用法。

结构模糊可靠性分析方法的泛灰求解

针对现有的基于区间求解结构模糊可靠度方法的缺陷,提出了一种新的求解结构模糊可靠度方法.该方法利用泛灰数描述与结构基本变量概率分布相关的不确定参数,并将这些泛灰数引入到结构模糊可靠度计算中,得出了较为精确的结构可靠度计算结果.数值算例表明,该方法得到的结构可靠度区间更窄,实现了利用较少的信息量得到较精确的可靠度计算结果,相比传统的结构模糊可靠度计算方法能提供更多、更精确的关于结构安全程度的有用信息.

利用约束满意度解模糊线性规划问题的方法的改进

对于两个正规的对称三角模糊数a ,b ,给出了a≤b的约束满意度p(a≤b)与p(a(α)≤b(α)之间的一种新的关系式 .将此关系式应用到解模糊线性规划问题中 ,将模糊线性规划归结为参数规划 ,且水平α的限制得到放宽 .