So the combination of fuzzy and random research is necessary and reasonable.
因此，可见将模糊性和随机性结合起来进行研究是必要和合理的。
For the complicated environment of rock burst, this clustering problem is a very complicated fuzzy and random optimization problem, and can not be solved by use of the traditional methods very well.
但由于岩爆问题环境的复杂性，岩爆预测的聚类问题是一个复杂的模糊、随机优化问题，采用传统方法难免带来很多局限性。
The mathematical models of probability of random event and fuzzy random event should be taken to analyze the reliability of a structure for these two kinds of limit state.
对这两种极限状态，应分别采用随机事件和模糊随机事件概率的数学模型进行其可靠度分析。
Based on the concept of fuzzy random variable, the concept of convex sets of fuzzy random vectors is introduced, and some examples for such type of convex sets are given.
在模糊随机变量的基础上引入了模糊随机向量凸集的概念，给出了几个模糊随机凸集的例子。
This paper gives a new concept of variance of fuzzy random variables and discusses it's property and calculation.
本文给出了模糊随机变量的方差这一概念，并讨论了它的一些性质及计算方法。
By far, all the studies are focused on the static shortest path problems and the shortest path problems with uncertain parameter such as fuzzy or random parameters.
到目前为止，所有这些研究都是针对静态最短路径问题以及不确定最短路径问题中具有模糊或随机参数的问题。
The coupling of random analysis, fuzzy analysis and Grey system of water resource and the application of GIS, RS and GPS in water environment prediction the trends of development in future.
最后指出水资源研究的随机分析、模糊分析和灰色系统的耦合与GIS、RS和GPS的应用是今后湖泊水环境预测的发展趋势。
The world is neither random nor fuzzy, but sometimes it can be analyzed by probability theory, and sometimes by credibility theory.
世界既不是随机的也不是模糊的，但有时可以应用概率论，有时可以应用可信性理论。
The concept of structural random fuzzy multi-objective optimal design and the concrete method of realizing this concept are given in this paper.
本文提出了结构多目标随机模糊优化设计的概念和实现这一概念的具体方法。
In this paper authors introduce the concept of measurability of a fuzzy random function, and solve the basic theoretical problem of measurability of fuzzy random functions successfully.
本文首次引入了模糊随机函数的可测性的基本概念，并且成功地解决了模糊随机函数的可测性这一最基本的理论问题。
In this paper, we study the multiple attribute shortest path problems with fuzzy random arc length, which has three attribute: distance, transportation time and transportation cost.
在本文中，我们研究具有模糊随机弧长的多属性最短路问题，即每条弧有三个属性：路程、运行时间、运行费用。
Using the entropy concept, a relationship between a random fuzzy parameter and an equivalent random parameter are presented.
利用随机熵和模糊熵的概念，建立了模糊变量向等效的随机变量的转换关系。
For a problem with performance functions which include random variables with fuzzy distribution parameters (FDP), it is important to evaluate their reliability accurately and rapidly.
对于功能函数中含有模糊分布参数(FDP)的随机变量问题，如何准确且简便地评估其可靠性，是十分重要的。
According to the uncertainty feature of the objective function and the constraint conditions, the theory and method of structure fuzzy random optimization design are introduced.
根据混凝土面板堆石坝结构设计问题中目标函数和约束条件所具有的不确定性性质，阐述了结构模糊随机优化设计的理论和方法。
Several main random noises of arc furnace are identified by fuzzy cluster analysis method. A fuzzy control system of arc furnace is designed, and good control result has got.
用模糊聚类分析的方法对电弧冶炼炉的几种主要随机干扰进行辨识，并在此基础上设计了电弧冶炼炉模糊控制系统，取得了良好的控制效果。
The concepts of second order fuzzy random variables and mean square convergence of sequences of fuzzy random variables are introduced. Some related properties are proved.
给出二阶模糊随机变量和模糊随机变量序列均方收敛的概念，证明了一些相关的性质。
This paper gives the control convergent theorem of integral for fuzzy random functions on basis fuzzy functions and fuzzy integral.
在可测模糊随机函数及模糊值函数积分的基础上，研究了模糊值函数的有界控制收敛定理。
As knowledge block in knowledge base is fuzzy and is obtained randomly, we study the rough set model based on random fuzzy rough sets.
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。
Furthermore a simplex method of the random linear programming is discussed, and the solution for fuzzy random linear programmings is studied.
进一步，我们讨论了随机线性规划的单纯形法，并且研究了这两种模糊随机线性规划的解法。
This paper presents the fuzzy reliability design of the helical compression spring, on condition that a fuzzy variable strength and a random stress are given.
本文对螺旋压缩型弹簧的强度为模糊变量、应力为随机变量的情况，提出了模糊可靠的设计方法，并给出了计算实例。
The relationship between fuzzy probability defined by lower approximation and upper approximation of random fuzzy sets and fuzzy belief measures, fuzzy plausibility measures is discussed.
讨论随机模糊下近似、上近似集的模糊概率与模糊信任测度、模糊似然测度之间的关系。
This paper puts forward a fuzzy random reliability formula named weighted average method, under the condition that random stress and fuzzy strength are all continuous variables.
对连续型随机应力和离散型模糊强度的模糊可靠度计算公式进行了研究，提出了当随机应力和模糊强度均为连续型时的加权平均法计算公式。
It is found that results of the traditional reliability method are less securable and those of fuzzy-random reliability method are more reasonable.
结果分析表明，传统可靠度分析结果偏于不安全，而利用模糊随机可靠度来评价边坡稳定状况更趋于合理性。
Because of the fuzzy comprehensive evaluation has subjective and random, we introduce the neural network to improve risk assessment model.
针对模糊综合评判法主观性强，随机性大的缺点，引入模糊神经网络算法对其加以改进。
Based on the credibility theory, an algorithm for random fuzzy operational risk assessment is proposed, and power system operating risk is expressed by a random fuzzy expected value.
提出了基于可信性理论的运行风险评估算法，采用随机模糊变量的期望值表示全系统的运行风险指标。
Also simulation results of sine wave, square wave and random simulation reappearance show that the fuzzy PID controller is higher accuracy and better dynamic performance than conventional PID control.
并对正弦波、方波以及随机波进行仿真再现，仿真结果表明，该模糊pid控制器比常规pid控制器具有更高的控制精度和更好的动态性能。
The algorithm of random exam questions choosing is upgraded, by combining with AI and fuzzy theory.
优化传统随机抽题算法，将其与模糊理论、试凑法相结合。
Finally, the problems of fuzzy random fatigue damage and residual strength are discussed.
还就模糊随机疲劳疲劳损伤及剩余强度的问题，进行了探讨。
The uncertain information includes fuzzy information, grey information, random information and unknown information.
不确定性信息包括模糊信息、灰色信息、随机信息和未确知信息。
By using fuzzy random variable theory and fuzzy set theory, the concept and its calculation method of fuzzy random characteristic quantity of safety grade are put forward.
分别运用模糊随机变量理论和模糊集理论而提出了安全等级模糊随机特征量和安全等级模糊特征量的概念及其计算方法。
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