查询词典 fuzzy degree

Zadeh put forward, make MTL-algebra"s filter conception fuzzified, provide the conceptions and properties of fuzzy filter, obtain the structure of all fuzzy, filters, prove that the set of all fuzzy filters forms a complete distribution lattice; Provide several fuzzy Boolean filter"s equivalent forms, introduce fuzzy positive implicative filter, fuzzy obstinate filter and fuzzy ultra filter, discuss some property characteristics and terms that transform each other under certain terms to obtain them.

Zadeh提出的模糊集思想使MTL-代数的滤子概念模糊化，给出了Fuzzy滤子的概念和性质，得到了全体Fuzzy滤子的结构，证明了全体Fuzzy滤子之集构成完备的分配格；给出了Fuzzy布尔滤子的若干等价形式，并且引入了Fuzzy正蕴涵滤子，Fuzzy固执滤子和Fuzzy超滤的概念，得出了它们的一些性质特征以及在一定条件下之间相互转化的条件。

Chapter 4 establishes the theory of convex fuzzy mappings: The concepts, such as Jensen's inequality, positively homogeneous, infimal convolution, right scalar multiplication and convex hull are introduced. The corresponding theorems are demonstrated by using the parametric representations of fuzzy numbers. 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. The notions of subgradient, subdifferential, differential with respect to convex fuzzy mappings are investigated, which provides the basis of the theory of fuzzy extremum problems.

在第4章中，建立了有关凸模糊映射的理论：建立了关于凸模糊映射的Jensen不等式、模糊正齐次映射、凸模糊映射的下卷积、右数乘和凸包等概念，利用模糊数的参数化表示，给出了相应的定理；在反模糊数空间，对凸模糊映射的共轭也作了探讨，证明了凸模糊映射的共轭集合和共轭映射都是凸的；最后对凸模糊映射的次梯度、次微分和微分等概念进行了研究，为模糊极值理论打下了基础。

A new knowledge acquirement way is presented based on the reliability data of product, then the fuzzy semantic net which consists of FEPM and fuzzy fault tree is regard as fault knowledge representation. The formalization of the fuzzy semantic net is described, and the relative concepts and relations are summarized. A stereo-knowledge representation which consisted of FFTF, rule and fuzzy neural network which make up of the shallow knowledge of the product is presented. The integrated fault diagnosis method based on the stereo-knowledge representation is suggested. The method is as follows. The fuzzy search inference is carried out on FFTF firstly. If the node being diagnosing can be decided if it failed or not in the fuzzy search inference, the rule inference to the node is carried out with the rules which being in symptom-fault way. An equivalent method, pattern recognization inference using fuzzy neural network, can fulfill the same work.

提出了以FFTF模糊语义网络为主、基于浅知识的产生式规则、模糊神经网络为辅的产品故障知识的立体知识表示方式，并提出了基于该多种知识表示的综合性故障诊断方法，即：首先对故障产品进行基于FFTF模糊语义网络的模糊搜索推理，如果在模糊搜索推理过程中不能确定当前诊断节点故障与否，则对当前诊断节点进行基于征兆-故障形式的验证式规则推理或者对包含该诊断节点的部件／子系统进行基于模糊神经网络的模式识别推理，如果在完成或者不再进行基于模糊语义网络的故障推理，仍然不能诊断出故障节点，则对基于模糊语义网络诊断过程中形成的故障诊断子图进行神经网络推理。

Around the finite solution problem of fuzzy differential equation, the fuzzy structure element method is put forward about the calculation of fuzzy analysis, and this method is applied to systematically study many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the Riemann meaning, and the solution structure of fuzzy differential equation etc..

围绕模糊微分方程定解问题，提出了模糊分析计算的模糊结构元方法，并利用模糊结构元的方法对模糊值函数的表述问题、模糊值函数的微分、黎曼意义下的模糊值函数积分以及模糊微分方程的解的结构等问题，进行了深入系统的研究。

In this paper,fuzzy complex numbers,limits of the sequence of fuzzy complex numbers,the metrical convergence and levelwise convergence,the continuity offuzzy complex functions,the calculus of fuzzy complex functions,theseries whose terms are fuzzy complex numbers,the series whose terms arefuzzy complex functions,the fuzzy complex measure and fuzzy differentialequation are investigated in details.All this may be a foundation forfurther researching fuzzy complex analysis.

本文对模糊复数、模糊复数列的极限、度量收敛与水平收敛、模糊复函数的连续性、模糊复函数的微积分、模糊复数项级数、模糊复函数项级数、模糊复测度及模糊微分方程理论进行了详细的研究，为模糊复分析的进一步研究打下一定基础。

In accordance with the technological difficulties encountered in the process of insulation supervision based on the Dissolved Gases Analysis,several kinds of model and method are presented to improve the reliability and precision of fault diagnosis of the power transformer. Main research content includes:By deeply studying the common transformer faults diagnosing methods,such as three-ratio methods and improved electrical committee agreements,several shortcomings such as uncertainness judgment when the fault reasons,phenomenon and principles come out together while can not consistent to each other etc. For this reason,the old methods can not fully meet the need to engineering practical application.Considering fuzzy relationship matrix can fully represents the causality between fault symptoms and fault types,when diagnosing complex equipments with multiple symptoms and fault causes such as power transformer,a synthetic fuzzy diagnosing model is firstly proposed to diagnose transformers insulation faults based on DGA in this paper. Meanwhile,by further study the character of fuzzy factors,aimed at correcting the defects in classifying fuzzy sets of common fuzzy judgment,a method are put forward by unifying fuzzy synthetic diagnosis and fuzzy principle reasoning.

本文针对应用油中溶解气体分析方法进行变压器绝缘监督时所遇到的主要技术难点，提出了提高变压器故障诊断的准确性、可靠性的几种模诊断方法，主要研究内容有：通过对判断变压器故障常用的三比值法和改良电协研法的深入分析，其诊断准确率较高，但对故障原因、故障现象和故障机理间同时存在不确定性和模糊性的变压器等电气设备的故障诊断，难于满足工程应用的需要；在处理变压器等结构复杂设备的多症状、多原因故障诊断时，模糊关系矩阵可以全面反映这种症状与故障类型间的因果关系，进而提出了变压器故障诊断的模糊综合诊断模型；同时作者还深入分析了模糊算子的特性；针对常用的模糊评判结果的模糊集的集化方法的不足性，提出了将模糊综合诊断与模糊规则推理结合起来进行故障诊断的方法，能达到较好的效果。

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。

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

On this basis from the fuzzy set with the classic set of relations, the application of fuzzy set of the latest set of decomposition theorem, A new fuzzy definition of the fuzzy distance, definition and application of this research is partial order triangular fuzzy numbers fuzzy distance.

在此基础上从模糊集与经典集的关系出发，应用模糊集的截集以及分解定理，提出一种新的模糊集的模糊距离定义，并应用此定义研究具有偏序关系的三角模糊数的模糊距离。

In this thesis, we defined duality Fuzzy relation in a pointwise Fuzzy set by a set of duality Fuzzy point. Then we defined Fuzzy congruence and Fuzzy rough set in Fuzzy semigroups.

本文把二维模糊点作成的集合定义为一个点态化模糊集上的模糊二元关系，进一步定义模糊同余关系，并通过它又定义点态化模糊集上模糊粗糙子集，并研究了它们的一些性质。

The Porsche Owner: But it's my car!

可，这是我的车呀。

LOX_83}{Oh, another bunch of wackos.

{LOX_83}{呃，又一群怪人。