正则Fuzzy集与正则塔的弱收敛性  

On the Weak Convergence of Ragular Fuzzy Sets and Ragular Towers

作　　者：吴孟达[1] 段小龙[1] 

机构地区：[1]国防科技大学系统工程与数学系

出　　处：《模糊系统与数学》1995年第1期49-56,共8页Fuzzy Systems and Mathematics

摘　　要：本文中我们讨论了正则Ｆｕｚｚｙ集与正则塔的连续点的稠密性，证明了正则Ｆｕｚｚｙ集与正则塔的弱收敛之间的等价性。本文的工作为进一步研究正则ｆｕｚｚｙ集空间的弱收敛拓扑以及Ｆｕｚｚｙ值可测函数打下了一个良好的基础。The density of the continuous points of regular fuzzy sets and regular towers isstudied in the paper,and the equivalence between the weak convcrgence of regular fuzzysets and the same convergence of regular towers is proved. These reserches work playan important part in our further studies on the weak convergent topology of regularfuzzy sets and the construction of fuzzy measurable functions.

关 键 词：正则模糊集 正则塔 弱收敛性 模糊集 

分 类 号：O159[理学—数学]