模糊集合

These definitions are different from traditional one抯 for their dependence on the cardinal numbers and centroids of the two fuzzy sets. Then the method is used in designing a fuzzy controller to handle the problem cased by the fact that the input universe is not covered completely with the rule base.

给出了一种基于模糊集合相对基数的模糊集合距离度量方法，并给出一种基于模糊集合距离度量的模糊控制器实现方法，该方法能有效解决模糊控制器规则库不完备所引起的一系列问题。

It overcomes all the errors and shortcomings of Zadeh's fuzzy set theory: it correctly reflects different kinds of fuzzy phenomena in the natural world; set complement exists on it; it has uniform calculating formulas for membership; it satisfies all formulas of the classical set theory and is consistent with classical and normal thinking, logic and concepts.

新理论能克服Zadeh模糊集合理论的三个缺点和两个错误；能正确地描绘客观世界的全部模糊现象；有补集；隶属度有统一的计算公式；并且是经典集合系统的特例，能满足全部经典集合的公式，与正常思维、逻辑和概念一致。

It is also pointed out that the fuzzy controller implemented through this way can approximate any continuous real function.

摘要基于对模糊集基本特性的分析，提出了一种模糊集合的距离度量方法，与传统方法不同的是它不但与模糊集的质心有关，而且与模糊集的基数有关；其次讨论了如何基于这种距离的定义来实现模糊控制，并指出基于这种方法实现的模糊控制器可以逼近任意连续函数。

By regarding fuzzy random variables as the particular case of measurable fuzzy setvalued functions and systematizing the achieved results [55～56] , opening further up the study, the paper introduces the concepts of complex fuzzy random variable, the distribution function and fall-shadow distribution function of complex fuzzy random variable, and investigates their fundamental properties.

6将动态模糊集合与模糊集值函数的概念推广到了动态复模糊集合和复模糊集值函数的情形，并且讨论了它们的若干基本性质

Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced.

Zadeh于1965年提出模糊集合的概念以来，大量的处理不确定性的理论陆续被提了出来，其中多数是对Zadeh的模糊集合理论的推广。

Programming to derive fuzzy optimal solutions and fuzzy optimal classification function seta fuzzy set which value is fuzzy optimal classification function and member degree is λ(0≤λ≤ 1,therefore the linear fuzzy support vector machine is constructe...

对于非线性模糊分类问题，引入核函数，类似于线性模糊分类问题得到非线性模糊支持向量分类机。最后构造显示模糊支持向量分类机特点的模糊支持向量集取值为模糊训练点，隶属度为λ(0≤λ≤1的模糊集合。模糊支持向量分类机较好地解决了支持向量机中含有模糊信息的分类问题。

A new concept of r-fuzzy nested set is presented and it is pointed a fuzzy probabilistic set is an equivalent class of a r-fuzzy nested set.

给出了一个新的概念γ-模糊集合套，指出模糊概率集可看作是γ-模糊集合套的等价类。

On the basis of extending the concepts of the derived function, primitive function and integration of interval-valued function to complex interval-valued function and using the descomposition theorem of complex fuzzy set, the derived function, primitive function and integration of complex fuzzy set-valued function and some properties of them are proved.

2在国际上最先引入了复模糊集合与复模糊数的基本概念，证明了它们的基本代数运算的封闭性，并且其运算可通过α水平复集合的相应运算来进行

Based on them, this paper proposes evaluation indexof fund performance from the aspect of finance, investor and interiormanagement. Considering the limitation of data envelopment analysis approach usedto evaluate fund performance, such as conventional DEA models can not considerinputs and outputs of evaluation units simultaneously, and an input-oriented DEAmodel and output-oriented DEA model often produce different evaluation results,this paper proposes a general form of DEA model which is input- andoutput-oriented by using multi-objective optimization and fuzzy set theory. Sincethe general form of DEA model can be transformed into a conventional input oroutput oriented DEA model by using special membership functions, it can beseemed as a nature extense of conventional DEA models, and a conventionalmodel can be regarded as a special case of DEA mdoel with general form.

针对现有基金绩效评价方法中较具优越性的数据包络分析方法的不足，如传统DEA模型不能同时综合考虑评价单元的输入和输出，以及分别采用面向输入和面向输出DEA模型评价基金绩效时，常常出现不一致的评价结果等，本文以多目标优化与模糊集合理论为工具，提出了一种能够同时面向输入和输出的DEA一般形式模型，并通过选择一些特殊的模糊集合隶属函数，使得这种DEA一般形式模型成为传统DEA模型的自然推广，而传统DEA模型是该模型的特殊形式。

Therefore, a fuzzy inference algorithm is viewed as a mapping from one fuzzy set to another, Hamming distance formula is used as the computing distance between the two fuzzy sets.

为此，把模糊推理算法看成是模糊集合到模糊集合的映射，选用海明距离作为两模糊集的距离。

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。