复模糊值函数级数的收敛性  

The Convergence of Complex Fuzzy-Valued Function Series

作　　者：毕淑娟[1] 马玉秋[1] 于瑶[1] 

机构地区：[1]哈尔滨学院理学院,黑龙江哈尔滨150080

出　　处：《数学的实践与认识》2015年第11期205-208,共4页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅科学技术研究项目:复模糊值函数级数的研究(12543040)

摘　　要：在新的模糊数序关系意义下,介绍了复模糊数的概念及运算性质,复模糊数列收敛的定义及复模糊级数收敛性的判别法.并以此为基础,定义了复模糊值函数级数的收敛性及一致收敛性,讨论了复模糊值函数级数的收敛判别法及其基本性质,以及一致收敛的判别法.Under the new relation of fuzzy numbers, the conception and the operation rules of fuzzy number were showed. Then, the conception and the criterion of convergence of com- plex fuzzy series were discussed. Furthermore, the convergence and the uniform convergence of complex fuzzy valued function series were defined. Finally, under the above discussion, we get the convergence and the uniformly convergence criterions and some basic properties.

关 键 词：复模糊数 复模糊级数 复模糊值函数级数 

分 类 号：O159[理学—数学] O174.5[理学—基础数学]