查询词典 fuzzy set

It is proved that the upper approximation of such fuzzy rough set in a fuzzy approximation space is just its image derived according to generalized extension principle and binary fuzzy similar relation.

通过对偶方式定义了模糊集的上、下近似算子，给出了模糊粗糙集在相应的模糊关系及模糊集的截集下的表示定理，证明了这种模糊粗糙集关于模糊近似空间的上近似恰为其在二元模糊相似关系下导出的广义扩张原理之下的像。

The membership function can exactly express the fuzzy satisfaction set by considering the vagueness of satisfaction degree of objectives and introducing the membership function for the fuzzy satisfaction sets of system reliability and system cost. The normal distribution and Cauchy distribution of this membership function is modified according to the fuzzy satisfaction sets. By doing this, the multi-objective optimization problem can be converted to a single-objective optimization problem to be solved.

模型充分考虑到目标满意度的模糊性，通过引入系统可靠度与费用的模糊满意集的隶属函数，并根据它们的模糊满意集对其正态分布、柯西分布进行适当修改，使之能够准确表达通常情况下的这两个目标的模糊满意集，最终，把两目标优化问题转化为常规单目标优化问题求解。

Considering about fuzzy relation between fault causeand symptom, commix fuzzy diagnosis module was set up by means of fuzzy synthesize judge.

本系统模仿了专家在诊断过程中正反向混合推理的思维特点，提高了诊断复杂故障的效率。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

In anti-fuzzy number space, the conjugate mapping of convex fuzzy mapping is concerned, and convexities of conjugate set and conjugate mapping of convex fuzzy mapping are proved.

在研究模糊向量空间、模糊凸集和模糊凸映射的基础上，我们研究了模糊规划的Lagrange对偶和凸模糊规划的KKT条件，并将有关结果应用到模糊线性规划和模糊二次规划的研究中。

Chapter 5 is devoted the study of fuzzy optimization in fuzzy convex analysis structure given in chapter 4. We consider the problems of minimizing and maximizing a convex fuzzy mapping over a convex set and develop necessary and/or sufficient optimality conditions.

在第5章中，首先，在第4章所建立模糊凸分析的结构基础上，考虑了凸模糊映射的极值问题，得到了凸模糊映射取得极值的充分/必要条件。

The classic concept of fuzzy convex, set theory methods will be used by the characterization of the classical algebra convex membership function with the theoretical approach to the promotion of fuzzy math to start a fuzzy convex studies.

1971年，经典模糊凸集的概念，将用集合论方法所刻画的经典代数中凸集的理论用隶属函数的方法推广到模糊数学中去，开始了模糊凸集的研究。

The integrating factor and the modifying factor were applied in controller, and interpolation method was used in the modifying factor fuzzy number model. A fuzzy switching mode was employed to avoid the undesirable disturbances caused by the switchover between the two control methods, and execution area of the fuzzy switchover can be set by membership function.

控制器中引入积分因子和自调整修正因子，对修正因子模糊数模型采用在线插值运算；采用模糊切换来保证2种控制的平稳过渡，模糊切换的执行区域可通过设定其隶属函数的形状参数加以确定。

The notion of random fuzzy variable was first introduced by Baoding Liu in 2002. A fuzzy random variable is a function from a probability space to the set of fuzzy variables.

模糊随机变量定义为从概率空间到模糊变量集合的函数，而随机模糊变量定义为从可信性空间到随机变量集合的函数。

As knowledge block in knowledge base is fuzzy and is obtained randomly, we study the rough set model based on random fuzzy rough set s.

摘要当知识库中的知识模块既是模糊的又是随机得到的，我们定义了基于随机模糊集的粗糙集模型。

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。