NEW METHOD FOR MEASURING FUZZINESS IN ROUGH SETS

A method with the fuzzy entropy for measuring fuzziness to fuzzy problem in rough sets is proposed. A new sort of the fuzzy entropy is given. The calculating formula and the equivalent expression method with the fuzzy entropy in rough sets based on equivalence relation are provided, and the properties of the fuzzy entropy are proved. The fuzzy entropy based on equivalent relation is extended to generalize the fuzzy entropy based on general binary relation, and the calculating formula and the equivalent expression of the generalized fuzzy entropy are also given. Finally, an example illustrates the way for getting the fuzzy entropy. Results show that the fuzzy entropy can conveniently measure the fuzziness in rough sets.

MINER RULE CONSIDERING FUZZINESS OF STRESS DAMAGE UNDER DIFFERENT LOAD SEQUENCES

Since the traditional Miner rule ignores the influence of the load sequence on the fatigue life, the fuzzy rules are used to analyze the fuzziness of the fatigue damage caused by the stress nearby the fatigue limit under different load sequences. The improved fuzzy Miner rule can reflect the influence of the load sequence on the fatigue life. Results of the example show that the prediction error can be reduced from 61.6% to 21.7%.

On Aesthetic Recognition of Literary Fuzziness and Translation

Due to the prevalence of fuzziness in literary works and in poetry in particular,the author puts forward the view that some skills such as rhetoric devices,abstraction,meaning manifestation,creation of imagination context are to be adopted in the translation of literary fuzziness from the perspective of aesthetic recognition to achieve an integration between the textual implication and the readers' expectation horizon.And the author takes the translation of Chinese classic poems for example,through detailed analysis and comparison,proves the feasibility of the viewpoint.

Finding a Link between Randomness and Fuzziness

If sample realizations are intervals, if the upper and the lower boundaries of such intervals are realizations of two independently distributed random variables, the two probability laws together lead to some interesting assertions. In this article, we shall attempt to remove certain confusions regarding the relationship between probability theory and fuzzy mathematics.

Integrated evaluation system under randomness and fuzziness for groundwater contamination risk assessment in a little town, Central China

An integrated evaluation system under randomness and fuzziness was developed in this work to systematically assess the risk of groundwater contamination in a little town, Central China. In this system, randomness of the parameters and the fuzziness of the risk were considered simultaneously, and the exceeding standard probability of contamination and human health risk due to the contamination were integrated. The contamination risk was defined as a combination of "vulnerability" and "hazard". To calculate the value of "vulnerability", pollutant concentration was simulated by MODFLOW with random input variables and a new modified health risk assessment(MRA) model was established to analyze the level of "hazard". The limit concentration based on environmental-guideline and health risk due to manganese were systematically examined to obtain the general risk levels through a fuzzy rule base. The "vulnerability" and "hazard" were divided into five categories of "high", "medium-high", "medium", "low-medium" and "low", respectively. Then, "vulnerability" and "hazard" were firstly combined by integrated evaluation. Compared with the other two scenarios under deterministic methods, the risk obtained in the proposed system is higher. This research illustrated that ignoring of uncertainties in evaluation process might underestimate the risk level.

There Also Can Be Fuzziness in Quantum States Itself—Breaking through the Framework and the Principle of Quantum Mechanics

In this paper, an attempt is made to synthesize fuzzy mathematics and quantum mechanics. By using the method of fuzzy mathematics to blur the probability (wave) of quantum mechanics, the concept of fuzzy wave function is put forward to describe the fuzzy quantum probability. By applying the non-fuzzy formula of fuzzy quantity and Schrödinger wave equation of quantum mechanics, the membership function equation is established to describe the evolution of the fuzzy wave function. The concept of membership degree amplitude is introduced to calculate fuzzy probability amplitude. Some important concepts in fuzzy mathematics are also illustrated.

Computational Investigation of Hand Foot Mouth Disease Dynamics with Fuzziness

The first major outbreak of the severely complicated hand,foot and mouth disease(HFMD),primarily caused by enterovirus 71,was reported in Taiwan in 1998.HFMD surveillance is needed to assess the spread of HFMD.The parameters we use in mathematical models are usually classical mathematical parameters,called crisp parameters,which are taken for granted.But any biological or physical phenomenon is best explained by uncertainty.To represent a realistic situation in any mathematical model,fuzzy parameters can be very useful.Many articles have been published on how to control and prevent HFMD from the perspective of public health and statistical modeling.However,few works use fuzzy theory in building models to simulateHFMDdynamics.In this context,we examined anHFMD model with fuzzy parameters.A Non Standard Finite Difference(NSFD)scheme is developed to solve the model.The developed technique retains essential properties such as positivity and dynamic consistency.Numerical simulations are presented to support the analytical results.The convergence and consistency of the proposed method are also discussed.The proposed method converges unconditionally while the many classical methods in the literature do not possess this property.In this regard,our proposed method can be considered as a reliable tool for studying the dynamics of HFMD.

The Analysis of Previous Research on Fuzziness in Legal Texts

Different from precision,fuzziness owns some special features.This paper tries to do a preliminary analysis of previous research on fuzziness and fuzzy expressions in legal texts.

Ant Colony Optimization Approach Based Genetic Algorithms for Multiobjective Optimal Power Flow Problem under Fuzziness

In this paper, a new optimization system based genetic algorithm is presented. Our approach integrates the merits of both ant colony optimization and genetic algorithm and it has two characteristic features. Firstly, since there is instabilities in the global market, implications of global financial crisis and the rapid fluctuations of prices, a fuzzy representation of the optimal power flow problem has been defined, where the input data involve many parameters whose possible values may be assigned by the expert. Secondly, by enhancing ant colony optimization through genetic algorithm, a strong robustness and more effectively algorithm was created. Also, stable Pareto set of solutions has been detected, where in a practical sense only Pareto optimal solutions that are stable are of interest since there are always uncertainties associated with efficiency data. The results on the standard IEEE systems demonstrate the capabilities of the proposed approach to generate true and well-distributed Pareto optimal nondominated solutions of the multiobjective OPF.

Fuzziness in the Teaching of College English Reading

English fuzziness has been studied from the point of view of linguistics. For my article is amateurish, rather than scholarly. In this paper Ⅰ shall first briefly discuss fuzziness in English language and its relation to English teaching and learning. Ⅰ shall then make use of this discussion to the analysis of applying fuzziness to the teaching of college English reading.

Computational Analysis for Computer Network Model with Fuzziness

A susceptible,exposed,infectious,quarantined and recovered(SEIQR)model with fuzzy parameters is studied in this work.Fuzziness in the model arises due to the different degrees of susceptibility,exposure,infectivity,quarantine and recovery among the computers under consideration due to the different sizes,models,spare parts,the surrounding environments of these PCs and many other factors like the resistance capacity of the individual PC against the virus,etc.Each individual PC has a different degree of infectivity and resis-tance against infection.In this scenario,the fuzzy model has richer dynamics than its classical counterpart in epidemiology.The reproduction number of the developed model is studied and the equilibrium analysis is performed.Two different techniques are employed to solve the model numerically.Numerical simulations are performed and the obtained results are compared.Positivity and convergence are maintained by the suggested technique which are the main features of the epidemic models.

The Pragmatic Fuzziness of Diplomatic Language in the Light of Adaptation Theory

This paper,based on Adaptation Theory,explores the diplomatic language psychologically,socially and physically to achieve safe,precise,polite,and wise communication.

The Fuzziness Principles of Language Teaching and Its Applications in Second Language Learning

Fuzziness is the nature of language. If the students can make full use of the fuzziness in language, their communicative competence will be greatly improved. So the fuzziness principles are advanced here to guide language teaching, which are the principle of tolerance ambiguity and the principle of active selection. And teachers should try to cultivate the students＇ cognitive learning style of inference, guessing, and association. In this way the students＇ communicative competence of using L2 will be improved.

基于模糊学习观测器的一类具有时变时滞的Takagi-Sugeno模糊系统的鲁棒故障估计

本文研究一类具有连续状态时变时滞、执行器故障和范数有界外部干扰的Takagi-Sugeno(T-S)模糊系统的鲁棒故障估计问题。利用H∞优化技术,构造了一种新颖的模糊学习观测器,实现了系统状态和执行器故障的同时估计。基于Lyapunov稳定性分析方法,以一组线性矩阵不等式(LMIs)的解形式给出了误差动态系统的稳定性分析和一个保守性更小的时滞相关的充分条件。最后,通过一个动态模型的仿真结果说明了所提方法的有效性。

基于动力性模糊控制拖拉机遥控换挡设计研究

为实现拖拉机遥控换挡,基于动力性模糊控制换挡设计了电控液压换挡系统,并在AMEsim中搭建仿真模型。根据发动机的调速特性,以油门开度、当前的车速和挡位为输入参数建立动力性换挡模型,并根据驾驶员意图和拖拉机状态建立二级模糊控制器对动力性换挡策略进行修正。同时,设置工况,在MatLab/Simulink中建立拖拉机传动系统模型,利用AMEsim-Simulink进行联合仿真,得到液压缸活塞杆位移曲线,对可行性进行了验证。对比传统换挡与动力性模糊控制换挡,以离合器冲击度、滑摩功等为控制目标进行仿真分析。结果表明:与传统换挡系统相比所设计的系统控制效果较优,满足拖拉机动力性适应性要求。

基于遗传算法的广义Takagi-Sugeno模糊逻辑系统最优参数辨识

针对 Takagi- Sugeno模糊逻辑系统的隶属函数不具有自适应性且模糊规则数的确定带有很大的人为主观性 ,这里引入了一类广义 Takagi- Sugeno模糊逻辑系统 ;在模型实现上 ,以广义 Takagi- Sugeno模型为个体 ,采用简单、有效的矩阵编码方式 ,借助遗传算法得到一个次优的广义 Takagi- Sugeno模糊系统模型 ,该模型不仅能很好地逼近所要辨识的非线性系统 ,而且还具有较低的复杂度 .仿真结果表明了广义 Takagi- Sugeno模型及其参数辨识方法的正确性和有效性 .

基于Takagi-Sugeno模型的磁流变半主动悬架控制

采用精度较高的Bouc-Wen模型对磁流变减振器建模,建立了包含减振器非线性动态特性的1/4车辆模型。为了解决Bouc-Wen模型给磁流变半主动悬架系统带来的非线性,通过Takagi-Sugeno模糊建模对磁流变半主动悬架系统的非线性项进行局部线性化,并利用并行分布补偿(PDC)方法求取系统的控制器。设计了与Bouc-Wen模型相结合的磁流变半主动悬架控制系统,系统仿真结果和硬件在环仿真试验验证了该方法的有效性。

基于Takagi-Sugeno模糊神经网络模型的卫星钟差预报方法

卫星钟差预报精度的不断提升是精密导航的关键问题.为了进一步提高钟差的预报精度和更好地反映钟差的变化特性,提出一种基于Takagi-Sugeno模糊神经网络(Fuzzy Neural Network,FNN)的钟差预报方法.该方法首先根据钟差数据的特点对钟差进行预处理,然后以预处理后的数据建立一种高精度预报钟差的Takagi-Sugeno模糊神经网络算法.采用IGS(International Global Navigation Satellite System Service)不同采样间隔的精密钟差数据进行了短期预报试验,并与ARIMA(Auto-Regressive Integrated Moving Average)模型、GM(1,1)模型及QP(Quadratic Polynomial)模型进行了对比试验,分析结果表明:对不同类型原子钟,该方法用于钟差短期预报是可行的、有效的,其获得的卫星钟差预报结果明显优于常规方法.