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.
出处
《系统科学与数学》
CSCD
北大核心
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.
