英语翻译以下是我上一个问题的英语翻译部分:ABSTRACTThe fuzzy distance is fuzzy set theory important constituent,From fuzzy set theory development,The fuzzy set distance is always attracting the multitudinous attention,The people con

英语翻译以下是我上一个问题的英语翻译部分:ABSTRACTThe fuzzy distance is fuzzy set theory important constituent,From fuzzy set theory development,The fuzzy set distance is always attracting the multitudinous attention,The people con
英语翻译
以下是我上一个问题的英语翻译部分:
ABSTRACT
The fuzzy distance is fuzzy set theory important constituent,From fuzzy set theory development,The fuzzy set distance is always attracting the multitudinous attention,The people continue to use in the real number theory the method,Measures the fuzzy set with a non-negative real number the distance,also is insinuates through the suitable transformation it to the real axis in.In order to cause this definition way to hasten reasonably,the people embark from the different angle,Proposed many different definition ways,If the Liu Chinese proposed” based on is away from the measure fuzzy number sorting”.Du Wenji,Xie Wei letter about” fuzzy set distance one measure method and in rule interpolation application” research.Bi Shu winsome about” fuzzy number operation nature and fuzzy number distance and limit” research.Proposed for this people the fuzzy set fuzzy distance concept,considered measures the fuzzy set with the fuzzy set the distance.If Zhang Guangquan proposed “Fuzzy number Fuzzy is away from and the Fuzzy limit”.Liu Huilin,Feng you huge mythical bird about “one kind of new fuzzy number distance definition”.Present paper mainly through to fuzzy mathematics concept,theorem as well as correlation nature research,thus discusses one kind of new fuzzy distance.Contains following content specifically:
One,in the summary fuzzy mathematics historical development progress,through to foundation fuzzy mathematics and so on the fuzzy set and fuzzy relationship research,is one kind of new fuzzy distance research builds the foundation.This article embarks from the fuzzy set truncation collection,establishes the fuzzy set using the fuzzy set theorem of dissociation the fuzzy distance.
Two,to the fuzzy set distance research,this article from the result expressed the form embarks the fuzzy set distance divides into the fuzzy set the solid distance and the fuzzy set fuzzy distance,and separately briefed these two kind of distance research condition.Embarks in this foundation from the fuzzy set and the classical collection relations,the application fuzzy set truncation collection as well as the theorem of dissociation,proposed one kind of new fuzzy set fuzzy distance definition,and has the partial ordering relations triangle fuzzy number fuzzy distance using this definition research.
Key words:Fuzzy set truncation collection,theorem of dissociation,fuzzy relationship.

英语翻译以下是我上一个问题的英语翻译部分:ABSTRACTThe fuzzy distance is fuzzy set theory important constituent,From fuzzy set theory development,The fuzzy set distance is always attracting the multitudinous attention,The people con
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摘要模糊距离是模糊集理论的重要组成部分,由模糊集理论的发展,模糊集合距离始终是吸引了众多的关注,人民继续使用,在实数理论的方法,措施上的模糊集与非负实数的距离,也是影射通过适当改造它的实轴条件,以造成这一定义方式 催生合理,人们开始从不同的角度,提出了许多不同的定义方式,如果刘中提出的"基于远离衡量模糊数排序" .杜文吉谢维信谢维信中的"模糊集距离一测方法,在规则内插中的应用"研究.毕庶倩的"模糊数的运算性质及模糊数的距离与极限"的研究.提出这个人的模糊集模糊距离概念,考虑采取措施,将模糊集与模糊集的distance.if张广泉拟议中的"模糊数的模糊距离 而模糊极限" .刘慧琳,冯友庞大神话鸟"的一种新的模糊数的距离定义" .本文主要通过模糊数学概念,定理以及相关性质的研究,因此,探讨一种新的模糊distance.contains以下具体内容:一,在简要模糊数学理论的历史发展进程,通过基金会,以模糊数学等方面的模糊集和模糊关系研究 是一种新的模糊距离的研究建立了地基走上文章从模糊集截断收集,确立了模糊集用模糊集定理离的模糊距离.二,模糊集合距离的研究,这篇文章从结果表达形式展开的模糊集距离分为模糊集固 距离和模糊集模糊距离,并分别介绍了这两种距离condition.embarks研究,在此基础上由模糊集与经典 收集的关系,应用模糊集截断收集以及定理离 提出了一种新的模糊集的模糊距离定义,并有偏序关系的三角模糊数的模糊距离采用这一定义的研究.关键词:模糊集截断收集,定理分解,模糊关系.