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Erent. In this chapter, under theenvironment of complete lattice, it gives some new solving methods of the threepublic problems. The tool is the representation theorem which based on union-intersection-preserving mapping and intersection-union-preserving mapping.

本章在值格仅为完备格环境下,给出了这些公开问题的新解决办法,主要工具是基于保并交映射和交并映射的模糊集表现定理。

Chapter one: Provide the simple introduction to basic conceptions and properties used in the article about MTL-algebra; prove the set of all the filters form a complete distribution lattice in MTL-algebra; Discussion some property characteristics of Boolean filter, at the same time introduce the conceptions of positive implicative filter and obstinate filter, receive some properties of them, discuss the relation between the important filters and their equivalent condition.

第一章:对文章中用到的关于MTL-代数的基本概念和性质给出简单的介绍,证明了MTL代数中的全体滤子之集构成一个完备的分配格;讨论了布尔滤子的一些性质特征,同时引入和固执滤子的概念,得到它们的一些性质,探讨了几类重要滤子之间的关系。

Whereas, what worth to say is thatthe representation theorem in most of literatures is obtained by strengthen thecondition of the membership degree's lattice. Such as it needs the membershipdegree's lattice was dense complete lattice, completely distribute lattice or unitinterval, ect.

但是,值得指出的是,多数文献中的表现定理是对模糊集的值格加强限制条件下得到的,例如有些文献要求值格为稠密完备格、完全分配格或者实单位区间等等。

And based on those measures two I/O linear scalable feature selection algorithms, StaFSOS and EnFSOS, are accurately constructed. 2 On the basis of Quotient Space theory and EnFSOS , granular transformation RBF classification model, GTM-CORBUNfast is constructed. The correctness of this model is proved by complete partial lattice, lattice tree search and property preserved theorems.

二、根据商空间理论,结合本文在特征选择和RBF神经网络的研究结果,给出了基于粒度变换的分类器构造模型GTM-CORBUN〓,并证明了其对应粒度变换的完备半序格、格树搜索和分类判别函数的性质保持性定理。

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。

THe company boasts strong technical force,advanced equipment,complete measure,strict management as well stable quality.

公司技术力量雄厚,工艺设备先进,检测手段完备,管理措施严格,产品质量稳定。

The research of this thesis indicates that to debase the speculation and the swelling stock bubbles of Chinese stock market, the fundamentally measure is to complete the shareholders' voting rights.

本文的研究最终证明,中国股市非均衡状态的根本原因之一即在于投资者投票权的非完备性。

And like Gu Ge such company compares average user to have more complete technology measure to prevent data to be mixed by baleful software of the hacker encroach.

而且像谷歌这样的公司比普通用户拥有更加完备的技术手段来防止数据受到恶意软件和黑客的侵犯。

A Ky Fan matching theorem for transfer compactly open covers in complete L-convex metric space s is established.

完备L-凸度量空间中建立了一个转移紧开覆盖的Ky Fan匹配定理。

Khasminskii ([19]) studied the ergodic properties of recurrent diffusion processes on aσ-compact complete metric space.

Khasminskii([19])研究了σ-紧完备距离空间上常返扩散过程的遍历性。

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