可测空间上的gλ测度的一些结果  

Some Results for g_λ-measures on Measurable Spaces

作　　者：李泽慧[1] 张强[1] 

机构地区：[1]兰州大学数学系,河北大学经管系

出　　处：《兰州大学学报（自然科学版）》1995年第4期31-37,共7页Journal of Lanzhou University(Natural Sciences)

摘　　要：本文首先在Ｂｅｒｒｅｓ的结果的基础上讨论了可测空间上的ｇλ测度、信任测度与超可加测度的关系以及ｇλ测度的无穷级数性质，其次讨论了ｇλ，测度的概率性质。证明了类似概率论中的Ｋｏｌｍｏｇｏｒｏｖ０－１律和Ｂｏｒｅｌ０－１律等对ｇλ独立事件列仍然成立。特别是完成了在λ≠０条件下ＢｏｒｅｌＣａｎｔｅｌｌｉ引理的证明。Borel-Cantelli's lemma is obtained by different way when λ≠ 0 and some results with respect to gλ-independent events, such as the analogues of the Borei 0-1 criterion and the Kolmogorov 0-1 law are established. In addition, the relationships between superadditive (subadditive) measures and belief (plausibility) functions are discussed respectively.

关 键 词：gλ测度 gλ独立 0-1律 可测空间 B-C引理 

分 类 号：O174.12[理学—数学]