复模糊值函数级数的广义一致收敛和亚一致收敛  

The Generalized Uniformly Convergence and Hypouniformly Convergence of Complex Fuzzy-Valued Function Series

作　　者：殷凤[1] 王鹏飞[1] 齐素英[1] 

机构地区：[1]忻州师范学院数学系,山西忻州034000

出　　处：《山西大同大学学报（自然科学版）》2012年第2期6-9,共4页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：山西省高校科技研究开发项目[20101119];忻州师范学院自然科学基金资助项目[200805]

摘　　要：利用模糊数的序关系和分解定理讨论了复模糊值函数级数收敛性,得出了复模糊值函数级数收敛、一致收敛、正则收敛、广义一致收敛、亚一致收敛的条件及一致收敛、广义一致收敛和正则收敛的关系准则。In this paper, operation rule and conception of Fuzzy Number and a conceptmn of Fuzzy-Valued Function series, convergence of Fuzzy-Valued Function series are given. Convergence of Fuzzy-Valued Function series are discus~ ~d, by using order relation of fuzzy function and resolution theorem of fuzzy fnncfion, under convergence of interval value flmctions cries. A necessary and sufficient condition of Fuzzy-Valued Function series are convergence, uniformly convergence , regner convergence , generalized uniformly convergence, hypouniformly convergence are obtained. Based on which it define are given a cut sets, wlation of generalized uniformly convergence（uniformly convergence） and reguler convergence are given.

关 键 词：复模糊值函数级数 正则收敛 广义一致收敛 亚一致收敛 

分 类 号：O159[理学—数学]