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结构元线性生成的Fuzzy级数柯西收敛准则

auchy Convergence Norms of Liner Fuzzy Series Based on Structural-element Theory

中文摘要英文摘要

通常模糊级数收敛性的研究基本上都是借助于扩张原理进行的,这使得许多结论都只能是理论上的刻画,实际应用操作十分困难,模糊结构元理论在某种程度上解决了上述困难,并且它在模糊级数方面取得了丰硕的研究成果,但仍然存在许多需要完善的地方,基于此,本文系统的研究了结构元线性生成的Fuzzy数项级数及复Fuzzy数项级数,给出并证明了结构元线性生成的模糊数项数列及模糊数项级数柯西收敛准则,复模糊数项数列及复模糊数项级数柯西收敛准则。

onvergence of fuzzy series is usually studied by expansion principle.Many results are so theoritical that it is very difficult to apply. Fuzzy structural element has overcome some difficulties at some degrees,and some researching results have been arrived on the aspect of fuzzy series.But much still should be done to perfect it.The paper has made a systematic study on liner fuzzy term series and complex fuzzy constant series.Fuzzy constant series and its Cauchy convergence norms were given and testified.At last complex fuzzy constant series and its cauchy convergence norms were also given and testified.

陈孝国

数学

模糊结构元复模糊数级数柯西收敛准则

kfuzzy structural-elementcomplex fuzzy numberseriesauchy convergence norms

陈孝国.结构元线性生成的Fuzzy级数柯西收敛准则[EB/OL].(2012-04-20)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/201204-306.点此复制

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