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.

Fuzziness and Relevance Theory

This paper investigates how the phenomenon of fuzzy language, such as `many’ in `Mary has many friends’, can be explained by Relevance Theory. It is concluded that fuzzy language use conforms with optimal relevance in that it can achieve the greatest positive effect with the least processing effort. It is the communicators themselves who decide whether or not optimal relevance is achieved, rather than the language form (fuzzy or non-fuzzy) used. People can skillfully adjust the deployment of different language forms or choose appropriate interpretations to suit different situations and (communication) needs. However, there are two challenges to RT: a. to extend its theory from individual relevance to group relevance; b. to embrace cultural considerations (because when relevance principles and cultural protocols are in conflict, the latter tends to prevail).

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。

需求不确定下的两阶段应急物流选址-路径研究

针对灾后应急救援在需求不确定和资源受限方面的问题,以多级应急物流网络为背景,构建了一个需求不确定下的两阶段应急选址-路径规划模型。该模型以总成本最小和救援车辆运输总距离最短为目标,采用三角模糊数刻画受灾点的不确定需求,并采用基于可信性的模糊机会约束规划方法,以消除约束条件中的不确定参数。模型第一阶段调用Gurobi求解器,求解得到应急配送中心选址结果和对受灾点的分配方案;第二阶段将选址及分配结果作为输入进行路径规划,并提出一种改进的自适应遗传算法(IAGA)对算例进行求解。然后采用自适应遗传算法(AGA)与之对比,并进行灵敏度分析。结果表明:IAGA在目标值、收敛速度和运行时间等方面均优于AGA,证明了IAGA具有一定的可行性和有效性,且可以为决策者提供较优的应急选址-路径规划方案,从而提升灾后救援的效率。

基于模糊层次综合分析的残损状态纯木结构安全评估方法

现存古建筑大多带伤服役,体内残损状态复杂多样,且对古建筑进行的加固维修与原有残损对结构本体的安全性能影响截然相反。为实现对古建筑的预防性保护,需要量化古建筑纯木结构中的残损状态及修缮措施对其安全状态的影响。基于山西万荣飞云楼各构件残损状态普查统计数据,结合现有规范及工程经验对构件残损状态等级详细划分,建立4级模糊层次分析模型,确定结构体中承重构件及构件残损类型的权重值及判断矩阵,通过模糊层次分析方法对飞云楼进行安全状态评估。结果表明,建立的模糊层次安全评价模型能反映残损状态及修缮措施对飞云楼安全状态的影响,有效将结构评价与构件评价联系起来,验证了修缮措施能有效增强古建筑结构本体的安全性及稳定性,该模型及方法可以应用到多层古建木结构的安全等级评价中。

基于模糊PID控制的拖拉机遥控转向系统研究

由于拖拉机实际作业环境较为恶劣,为保证驾驶员的安全,提出了一种拖拉机遥控转向系统的设计方案。首先,对拖拉机现有的液压转向系统进行了分析,并提出了遥控转向系统的结构设计和控制策略设计;然后,通过AMEsim和Simulink分别搭建了遥控转向系统的液压部分模型和模糊PID控制器并进行了联合仿真实验。实验结果表明:设计的遥控转向系统能够实现拖拉机的转向,模糊PID控制器相对于常规PID控制器的控制效果更好,阶跃响应时间由1.49 s缩短到1.07 s,正弦跟踪响应最大误差由0.028 m缩短到0.015 m,抗干扰性也更强。