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The proof is given that the category of linear fuzzy neighborhood spaces in the sense of Katsaras is isomorphic to that of co-towers of topological vector spaces and the intersection of the category of linear fuzzy neighborhood spaces with the category of type fuzzy topological vector spaces is the extract category of induced fuzzy topological vector spaces.

证明了Katsaras的线性fuzzy邻域空间范畴与分明线性拓扑空间的余塔空间范畴同构,而Katsaras的线性fuzzy邻域空间范畴与型fuzzy拓扑线性空间范畴的交集恰为诱导的fuzzy拓扑线性空间范畴。

The main results of this paper are given as follows: In the first chapter , the concept of fuzzy filter is introduced. Some of its properties are investigated. The structure of fuzzy filters is discussed and it is proved that the set of all fuzzy filters of a residuated lattice is a distributive and complete lattice .

本文的主要内容如下:本文的第一章在剩余格中引入了Fuzzy滤子的概念,得到了它的一些特征性质;给出了Fuzzy滤子的结构,证明了剩余格中的Fuzzy滤子之集构成完备的分配格;利用Fuzzy滤子的特有结构,在剩余格中定义了Fuzzy滤子间的两个运算"",""

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 three: Define fuzzy congruence relation of MTL-algebra, prove that fuzzy fiter and fuzzy congruence relation is a bijective function in MTL-algebra, quotient algebra induced by congruence relation still forms a MTL-algebra; Introduce the relation between some kinds of fiters and fuzzy filters maitained above in IMTL-algebra,i.e. BR_0 algebra, which is a MTL-algebra satisfied inversely odering and involutive relation.

第三章:定义了MTL-代数中的Fuzzy同余关系,证明了MTL-代数中Fuzzy滤子与Fuzzy同余关系是——对应的,由同余关系所诱导的商代数依然构成一个MTL-代数;介绍了在满足逆序对合对应的MTL-代数-IMTL-代数,即BR_0-代数中上述几中特殊滤子,Fuzzy滤子之间的关系。

The third section is the research about I-fuzzy first countability and I-fuzzy second countability in I-fuzzy topological spaces.

第三部分是关于I-fuzzy拓扑空间中I-fuzzy第一可数性和I-fuzzy第二可数性的研究。

The aim of this paper is to study the countability on I-fuzzy topological spaces.

本文主要是研究I-fuzzy拓扑空间中的可数性,提出I-fuzzy第一可数性、I-fuzzy第二可数性、I-fuzzy可分性、I-fuzzy Lindelf性等几种可数性的概念,界定了它们的特征性质,给出了它们之间的关系,还在第一可数I-fuzzy拓扑空间中用多值序列收敛对映射连续性进行刻画,更为重要的是得到了I-fuzzy拓扑空间中的I-fuzzy Lindelf定理。

The fourth section is the reseach about I-fuzzy separability and I-fuzzy Lindelof property. The author introduces the concepts of I-fuzzy separability and I-fuzzy Lindelof property, and proves that the degree to I-fuzzy second countability in each of I-fuzzy topological spaces must be less than that to I-fuzzy separability and I-fuzzy Lindelof property.

第四部分是关于I-fuzzy可分性和I-fuzzy Lindelf性的研究,作者引入了I-fuzzy拓扑空间中I-fuzzy可分性和I-fuzzy Lindelf性的概念,证明了一个I-fuzzy拓扑空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是可分的I-fuzzy拓扑空间的程度,也一定小于它是Lindelf的I-fuzzy拓扑空间的程度这也是著名的I-fuzzy Lindel

The author uses I-fuzzy quasi-coincident neighborhood system to introduce the concepts of I-fuzzy first countability and I-fuzzy second countability, and proves the degree to second countability in each of I-fuzzy topological space must be less than that to first countability, and gives the equivalent characterations about the continuity of function by convergence of sequences in first countable I-fuzzy topological spaces.

作者利用方进明在[4]中提出的I-fuzzy重域系引入了I-fuzzy拓扑空间的第一可数性和第二可数性的概念,证明了一个I-fuzzy拓扑空间空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是第一可数的I-fuzzy拓扑空间的程度,并且在第一可数的I-fuzzy拓扑空间中对映射的连续性进行了等价刻画。

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。

The present study applied fuzzy theory and Fuzzy MCDM to build a strategy which utilizes Fuzzy MCDM for accessory negotiation. This strategy calculated every accessory's fuzzy evaluation and negotiation insistency for selection and negotiation. At last, a shopping website with the function of accessory negotiation was built on the Internet in the expectation that it can make progress in both buyers' satisfaction and sellers' earnings.

因此本研究运用模糊理论与Fuzzy MCDM的机制与方法,建立Fuzzy MCDM为附属品的协商机制之策略,计算出各附属品的模糊评估值与协商坚持度,以为遴选之依据与协商之准则;最后在网路上实作建置一个具有协商附属品功能的购物网站,藉由系统的建立期能获取消费者满意度且成就商家的营业收入之双重利基。

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推荐网络例句

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸,那乌黑、忧郁的眼睛,她便会相信,他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失

But because of its youthful corporate culture—most people are hustled out of the door in their mid-40s—it had no one to send.

但是因为该公司年轻的企业文化——大多数员工在40来岁的时候都被请出公司——一时间没有好的人选。