查询词典 fuzzy set

We prove that in every induced locally compact 〓fuzzy topological groupthere exist at least one regular fuzzy set-valued Haar measure.We define the fuzzymeasurable group and prove that the fuzzy set-valued Haar measure in a fuzzymeasurable group is essentially unique.We also construct the fuzzy topologicalstructure on a group by the fuzzy set-valued measure such that make it a fuzzytopological group.

证明了诱导局部紧〓模糊拓扑群上存在模糊集值Haar测度，定义了模糊可测群，通过对模糊可测群的研究证明了诱导局部紧〓模糊拓扑群上的模糊集值Haar测度本质上的唯一性，并利用模糊可测群上的模糊集值测度构造了群上的模糊拓扑结构使之成为模糊拓扑群。

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。

of transitive closure based on equivalence relation, method of maximum fuzzy spanning tree based on fuzzy graph, and algorithm Fuzzy C-Means based on partition are more deeply investigated. Respectively, this thesis proposes an algorithm for document fuzzy clustering based on methed of transitive closure and an algorithm for document fuzzy clustering based on methed of maximum fuzzy spanning tree. Moreover, FCM is particularly studied from data standardization method, metrics method, and selection method of initial clustering prototype.

较深入地讨论了基于等价关系的传递闭包法、基于模糊图论的最大树法以及基于划分的模糊C-均值算法，分别提出了基于传递闭包法的文本模糊聚类方法ATCFC和基于最大树法的文本模糊聚类方法ATCMT；重点从改变规格化方式、改变度量方式、改变初始聚类原型选择方式三方面对FCM算法进行研究。

Engrafting L.A.Zadeh one branch fuzzy decision theory with RSA algorithm in information security, this paper gives concepts of multi-cooperation encryption and multi-cooperation sharing fuzzy decision; innovatively gives mathematical structures of group encryption and multi-group sharing fuzzy decision; finally gives safe fuzzy decision algorithm and its applications; safe fuzzy decision is a new direction of fuzzy decision research.

将L.A.Zadeh单枝模糊决策理论与信息安全中的RSA算法相互嫁接，相互渗透，提出了多合作加密与多合作共享模糊决策的概念；创新性地给出了集团加密与多集团共享模糊决策的数学结构；最后给出安全模糊决策算法以及它的应用；安全模糊决策是模糊决策研究的一个新的方向。

Based upon RMTong's thought of regarding fuzzy model as the set of fuzzy conditional proposition by converting the accurate value into a fuzzy one, the structure of a fuzzy system formed by alloy element adding amount and material characteristic norm is determined, and then the fuzzy model of the system is built.

根据RMTong把模糊模型看作是模糊条件命题的集合这一基本思想，通过精确量的模糊化，确定了合金元素加入量与材料性能指标组成的模糊系统的结构，建立了该系统的模糊模型，为研究合金加入量对材料性能的影响提供了一种普遍意义下的新方法

By using the technigue of pointwise representation, this paper goes somewhat deeper into the theory of fuzzy subspaces. It has mainly studied the structure of generated fuzzy subspaces, and various relations between a fuzzy set and its generated fuzzy subspace are given. Furthermore, a pointwise representation theorem for fuzzy subspaces is presented.

本文利用点态表示方法进一步探讨了Fuzzy子空间理论，着重研究了生成Fuzzy子空间的结构，给出了Fuzzy集与其生成Fuzzy子空间之间的各种关系，进而，文章还给出了Fuzzy子空间的一个点态表示定理。

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。

Fuzzy distance of the theory of fuzzy sets an important component of the fuzzy set theory from the early stage of development, Fuzzy Sets distance has been attracting a large number of the concerns that people use real theory of practice with a non-negative real numbers to measure the distance of fuzzy sets, is through the appropriate transform its alluding to the real axis.

模糊距离是模糊集理论的一个重要组成部分，从模糊集理论发展之初，模糊集的距离一直吸引着众多的关注，人们沿用实数理论中的作法，用一个非负实数来度量模糊集的距离，也就是通过适当的变换将其影射到实数轴上。

From the point of view of measure theory, this paper gives the unified definition of measurable real fuzzy set-valued function and n-dimensional measurable real fuzzy set-valued function, and discusses the fundamental properties of them and their invers fuzzy set-valued function by combining with fuzzy σ-algebra.

5研究了有界闭复模糊数的四则运算、交并运算以及上下确界、上下极限与极限运算的若干基本性质

Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.

应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。

The father that if work,mad father, love annoys, disposition is too indrawn the be short ofing that the father of Mu Ne, resign oneself to adversity causes father easily to love is broken; Communicate time effectively between father and son, Mu Zizhi to be less than a hour on average to wait a moment every week, it is the cause that causes the child to become addiction.

如工作狂的父亲、爱愤怒的父亲、性格过于内向木讷、逆来顺受的父亲都易造成父爱的缺失；父子、母子之间的有效沟通时间每周平均小于一小时等等，都是造成孩子成瘾的原因。

These are vandal proof and they come with a locking mechanism.

这是野蛮的证据，他们来到了锁机制。