局部紧空间上模糊值模糊测度的正则性  

Regularity of Fuzzy-valued Fuzzy Measure on Locally Compact Space

作　　者：纪爱兵[1] 李树环[1] 庞佳宏[1] 

机构地区：[1]河北大学医学院卫生管理系,河北保定071000

出　　处：《模糊系统与数学》2006年第5期65-70,共6页Fuzzy Systems and Mathematics

摘　　要：研究局部紧Hausdorff空间上模糊值模糊测度。首先,给出模糊值模糊测度的自连续和一致自连续的定义,然后引进模糊值模糊测度正则性的概念,在自连续或一致自连续的条件下,证明了局部紧空间上模糊值模糊测度的一些定理。In this paper, we study the fuzzy-valued fuzzy measure on locally compact Hausdorff space. We first give the definition of autocontinuity and uniform autocontinuity of the fuzzy-valued fuzzy measure; then introduce the concept of the regularity of the fuzzy-valued fuzzy measure. At last, On some conditions, we prove several theorems on regular fuzzy-valued fuzzy measure.

关 键 词：模糊值集函数的自连续 模糊值集函数的一致自连续 内(外)正则性 正则模糊值模糊测度 

分 类 号：O159[理学—数学]