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《Mathematics in Practice and Theory》 2007-01
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The Complex Fuzzy Numbers and Convergence

BI Shu-juan(Department of Mathematics Harbin Institute,Harbin 150080,China)  
In the sense of this new fuzzy numbers ovder relation,this paper will extend the distance on the set of all real fuzzy numbers to the distance on the set of all complex fuzzy numbers and take this as the foundation is extended.Define the limit of the sequece of complex fuzzy numbers,discuss the sign theorem boundedness thorem convergence and Cauchy′s criterion for convergence of the sequece of complex fuzzy numbers.
【Fund】: 黑龙江省教育厅科学技术研究项目(10553029)
【CateGory Index】: O159
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【References】
Chinese Journal Full-text Database 4 Hits
1 CHEN Xiao-guo(Department of Mathematics and Mechanics,Heilongjiang Institute of Science and Technology,Harbin 150027,China);Study on the fuzzy-valued function series based on the structural element lineargeneration[J];Journal of Science of Teachers' College and University;2009-04
2 BI Shu-juan~1 SHANG Hu~1 CONG Er-yong~1 WANG Hai-tao~2 1.College of Mathematics and Computer,Harbin Institute,Harbin 150080,China; 2.College of Science and Engineering,Harbin Institute,Harbin 150080,China;Study on convergence of complex fuzzy series[J];Journal of Harbin University of Commerce(Natural Sciences Edition);2007-05
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1 BI Shu juan,WU Cong xin (Harbin Institute of Technology,Harbin 150001,China);The Operation Property of Fuzzy Number and the Limit and the Distance of Fuzzy Numbers[J];FUZZY SYSTEMS AND MATHEMATICS;2000-03
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1 Yang Tao-Xiang, Yang Jian, Bi Fu-Kun (School of Information Science and Technology, Yunnan University, Kunming 650091,China );Speech Emotion Recognition Based on Fuzzy Clustering Algorithms[A];[C];2007
【Co-references】
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1 ZHANG Yu-ren (Engineering College of Shanxi University,Taiyuan 030013,China);The Limit of the Fuzzy-valued Function Based on the Structural Element Linear Generation[J];Journal of Electric Power;2008-03
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