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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。

By studying the algorithms of data-mining technology and taking full consideration of the fuzzy feature in the process of data-mining, it makes the classic mining technology fuzzy in order to show the inexactness and the ambiguity of things in the real world.

本文通过对数据挖掘技术方法的研究,并充分考虑挖掘过程中模糊性,对经典的挖掘技术加以模糊处理,体现了现实世界中事物特性的不确定性和模糊性

Setting out from symbolic logic, Russell was the first philosopher who destroyed the law of excluded middle in classical logic, and provided leads for the research into formalized fuzzy logic o...

皮尔斯是西方哲学史上确认"语言本身的模糊性"的第一位哲学家;维特根斯坦强调语言确定性与模糊性的并存关系,并试图将二者统一;罗素从符号逻辑的水平上首次打破了古典逻辑的排中律,开辟了形式化模糊逻辑或多值逻辑的研究道路。

In order to embody the fuzzy character in evaluation, the traditional analytic hierarchy process is developed into a fuzzy one. The introduction of triangular fuzzy number can contain more fuzzy information of evaluation. The ranking method for reciprocal judgement matrix with triangular fuzzy numbers is also presented. Based on the mode identification process, the mathematical model of multi-level and multi-object evaluation using fuzzy approach degree is set up primarily.

为了更加有效地反映评估对象的模糊性,本研究将传统的层次分析法拓展到模糊领域,引入三角模糊数的概念,并对模糊评判矩阵的排序方法进行了研究,在此基础上,提出了基于模糊集贴进度的模式识别评估方法,建立起润扬大桥悬索桥多层次多目标综合评估模型。

In the second chapter several new concepts of elasto-plastic fuzzy stiffness and element are proposed. The fuzzy element matrixes corresponding to the elasto-plastic fuzzy element are also established. In order to use the bilinear and trilinear restoring force modles on analysis seismic responses of structures. A fuzzy mathematical method for dealing with the critical points of the restoring force curve is proposed too.

第二章针对结构在地震弹塑性分析中的刚度模糊性,提出了模糊刚度的概念,并进一步对平面和杆系的弹塑性问题提出了弹塑性模糊单元的概念,建立了相应的模糊单元刚度矩阵;为了利用现有的折线恢复力模型,并且更好地反映结构刚度的过渡性,还给出了用模糊数学处理折线恢复力模型刚度折点的方法。

In view of the fuzzy characteristics of real world, fuzzy set theory and statistics with vague data are combined to generalize key theorem and bounds on rate of uniform convergence of learning processes as the base of statistical learning theory in this thesis.

摘要考虑到现实世界的模糊性,本文结合模糊集理论和模糊统计学的知识,对作为统计学习理论基础的关键定理和学习过程一致收敛速度的界进行推广,给出了模糊学习理论的关键定理和一致收敛速度的界。

Based on the characteristics of CMAC neural network and fuzzy control,the novel controller of fuzzy CMAC neural network that reflects the fuzziness and continuity of human cerebella is discussed.

针对 CMAC神经网络和模糊控制的特性,给出了一种能反映人脑认知的模糊性和连续性的模糊 CMAC神经网络控制器,该控制器采用高斯函数作为模糊隶属函数,利用神经网络实现模糊推理并可对隶属函数进行实时调整,从而使其具有学习和自适应能力。

In order to become more practical for design of four-link the weft beat-up mecchanism, this paper presents a new the fuzzy optimization method based on considering the fuzzy randomicity of design parameters. By use of double objective optimization method, that is, for maximal accelerate of sley sword minimizing and coefficient of speed rate of sley sword traveling maximizing, mathematics model of the fuzzy optimization design of the four-link weft beat-up mechanism is set up. Calculation and analysis of pra...

设计更好地符合客观实际的四连杆打纬机构,在充分考虑各设计参数的模糊性的基础上,根据模糊方法学的基本理论提出一种模糊优化设计方法,采用使筘座的最大加速度最小,同时使筘座的行程速比系数最大的多目标优化方法,建立了该问题的模糊优化设计的数学模型,并对实例进行了计算与分析,获得最优的综合性能。

While many theories concerning damage forecasting were put foreword, a different model of damage forecasting based on fuzzy probability will be presented in this paper. And it is reasonable to describe a variable like weight coefficient with fuzzy theory. In the end, the validity of the model is demonstrated well in the applications of one-storied brick bent frame column factories, one-storied reinforced concrete column factories, multistory masonry buildings.

国内外不少专家学者或研究单位先后提出了各种震害预测方法,本文在此基础上,利用模糊理论,提出了模糊概率的震害预测模型,其模型能够把两类不确定性(一类是随机上的,另一类是模糊上的)有机结合起来,而且对于权重这样一个充满着模糊性的变量,用模糊语言来处理是非常合理的;并应用于对单层砖排架柱厂房、单层钢筋混凝土柱厂房以及多层砖房的震害预测,实践证明此方法是比较精确的。

A study was performed of the randomness of external loads on high arch dams,including flood,earthquake,landslide of mountains,etc.,the weakening of concrete strength of arch dams and rock strength of dam foundation,and the fuzziness of evaluation criterion.The disadvantages of conventional deterministic assessment methods for the safety of arch dams based on the strength theory and stability theory were analyzed respectively.It is suggested that fuzzy mathematics theory should be introduced to safety evalua...

研究高拱坝洪水、地震、山体滑坡等外载荷,坝身混凝土、坝基岩石材料强度弱化等的随机性,以及评价准则的模糊性;分析了高拱坝分别基于强度理论和稳定理论确定性评价方法的不足,提出应该利用模糊数学方法解决具有随机性、模糊性的高拱坝安全评价问题;建立了基于结构可靠度理论的高拱坝失效概率故障树模型并给出了具体算例。

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