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结构元线性生成的模糊数项级数柯西收敛准则

发表时间:2012-07-15  浏览量:1301  下载量:329
全部作者: 陈孝国
作者单位: 黑龙江科技学院理学院
摘 要: 系统地研究了结构元线性生成的模糊数项级数及复模糊数项级数,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。该研究不仅给出了借助结构元研究模糊级数柯西收敛的思路,而且对进一步完善模糊级数理论也将有一定的促进作用。
关 键 词: 模糊数学;复模糊数;模糊结构元;级数;柯西收敛准则
Title: Cauchy convergence norms of liner fuzzy series based on structural-element
Author: CHEN Xiaoguo
Organization: School of Science, Heilongjiang Institute of Science and Technology
Abstract: 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. The study puts forward a way to study fuzzy series Cauchy convergence with structural-element. On the other hand, it improved the fuzzy series theories.
Key words: fuzzy mathematics; complex fuzzy number; fuzzy structural-element; series; Cauchy convergence norms
发表期数: 2012年7月第13期
引用格式: 陈孝国. 结构元线性生成的模糊数项级数柯西收敛准则[J]. 中国科技论文在线精品论文,2012,5(13):1220-1224.
 
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