模糊集合

Fuzzy controller is designed according to human"s controlling experience of systems. After reducing the operator"s controlling experience to a set of qualitatively descriptive conditional statements, and then quantifying them by using the theory of fuzzy set, the controller can transform the natural language of human"s controlling strategies into the algorithmic language acceptable for the computer, then the controller can receive human"s experience, and imitates humans operating strategies and effectively control some objects that can not be constructed into the mathematical model.

模糊控制控制器是以人对被控系统的控制经验为依据而设计的，它把操作人员的控制经验归纳成定性描述的一组条件语句，然后运用模糊集合理论将其定量化，把人的控制策略的自然语言转化为计算机能够接受的算法语言所描述的控制算法，使控制器得以接受人的经验，模仿人的操作策略实现对一些无法构造数学模型的被控对象进行有效的控制。

The uncertainty in the weather conditions, temperature and wind velocity, are well managed by the fuzzy set theory. Using the arithmetic of fuzzy number, the possibility distribution of the ampacity of a transmission line can be conducted.

气候中不确定的变化，如导线周围温度和风速，将利用模糊集合予以适当地处理，在进行模糊数运算后，可推导出输电线容量的可能性分布。

The fuzzy classification system is an important application of the fuzzy set theory.

模糊分类系统是模糊集合理论中的一个重要的应用。

Fuzzy decision tree is set upon utilizing and gathering fuzzily for reducing and classifying indeterminately. Also, it can express people's idea naturally, which helps to deal with cognition and fuzzy problem more surely.

它的发展是建立在利用模糊集合减少分类不明确，并能自然地表示人们的想法，更稳健地处理认知与观念上模糊分类的问题。

The problem of multi-objective usually meet many conflict each other and can not use the objective of the same standard unit, then to employ membership function of fuzzy theory,at first each objective function to change fuzzy set and express with membership function, membership function include the maximum constraint, minimum constraint, the decrease function of monotonic property, to become optimal of the multi-objective function, but still to scanty of weighting value with regard to adjustment of objective function, thus this thesis proposes the method of combine orthogonal arrays and particle swarm optimization to solve the problem of multi-objective optimal power flow, each objective function separately add weighting value, to setting each weighting value of objective function in order to the result of anticipating.

多目标最佳化的问题通常会面临到许多互相冲突且不能用同ㄧ标准单位的目标，於是利用模糊理论中的归属函数，首先将各目标函数转换成模糊集合并以归属函数表示，归属函数包含了最大限制值、最小限制值、单调的递减函数所组成，将各目标函数利用归属函数表示，形成单一目标函数的最佳化，但是仍缺乏权重值对於目标函数的调整，於是本篇论文提出ㄧ种权重值设定与粒子群优演算法的方法去解决多目标最佳电力潮流的问题，将各目标函上分别加上权重值设定各目标函数的权重值，得到预期的效果。

A new fuzzy logic based hybrid on-line minimum input power search control strategy is proposed. The gains derivative method of this strategy utilizes the research results of loss model control to do on-line scaling factor calculation. The asymmetric shape design of membership functions can make the control system converge fast with avoiding the oscillation around the optimal flux.

基于损耗模型控制的研究成果以及在线搜索控制的研究成果，提出了一种新型混合在线式直流最小功率模糊搜索效率优化控制算法，算法对模糊集合所作的不对称隶属度函数设计，解决了系统在效率最优点处的振荡问题。

First, the fuzzy preference relation between alternatives for each criterion is worked out, and then this problem is solved through determining compromise weight and participants with conflicting preference.

该方法运用模糊集合理论求出每对方案关于每个属性的模糊偏好关系，然后通过对决策者的冲突偏好确定综合权重来解决该问题。

Chapter 2 describes stochastic events and fuzzy events using probabilistic method and fuzzy set theory. Applications of fuzzy numbers are emphatically discussed.

第二章通过阐述各种不确定性因素的特点和区别，分别用概率论和模糊集合论对不确定性问题予以描述和处理，其中着重讨论模糊集合论的应用。

We prove the strong compactness and N-compactness of fuzzy sets areequivalent in 〓 fuzzy topological space.

再次，证明了模糊集合的强紧性和良紧性在〓模糊拓扑空间中是等价的。

According to the typical fuzzy concepts,such as eutrophication level of water environmental quality and the unideal and ideal water quality stations,a technique for order preference by similarity to ideal solution based on fuzzy set was presented and was used in the comprehensive assessment of water environmental quality.

基于传统的逼近于理想解的技术，根据水环境质量的富营养化程度和待评价的水环境质量检测点的不理想与理想这些典型的模糊概念，提出了基于模糊集合的逼近理想解法，并应用于水环境质量综合评价。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。