问题描述:
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.
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.
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