关于模糊值函数序列的C-I平均收敛  

ON THE C-I AVERAGE CONVERGENCE FOR SEQUENCE OF FUZZY VALUED FUNCTIONS

作　　者：王贵君[1] 李晓萍[2] 

机构地区：[1]天津师范大学数学科学学院,天津300387 [2]天津师范大学管理学院,天津300387

出　　处：《系统科学与数学》2009年第2期253-262,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(70571056)资助课题.

摘　　要：在一般模糊测度空间上,利用模糊值Choquet积分定义首次给出了模糊值函数列的C-I平均收敛、C-I平均基本等概念,并针对μ-可积模糊值函数列进一步研究了它的C-I平均收敛与依模糊测度收敛、C-I平均基本与依模糊测度基本之间的蕴涵关系.On a general fuzzy measure space, by means of the definition of the fuzzy valued Choquet integral, first, the concepts of the C-I average convergence and the C-I average basis of the sequence of fuzzy valued functions are introduced. Then, for the sequence of the integrable fuzzy valued functions, the realationships between the C-I average convergence and the convergence in fuzzy measure, the C-I average basis and the basis in fuzzy measure are considered, respectively.

关 键 词：模糊测度 C—I平均收敛 依模糊测度收敛 C-I平均基本 依模糊测度基本. 

分 类 号：O159[理学—数学]