序有界模糊n-方体数集的上确界与下确界(英文)  

Supremum and Infimum of Order Bounded Sets of Fuzzy n-cell Numbers

作　　者：王桂祥[1] 赵春晖[1] 

机构地区：[1]哈尔滨工程大学信息与通信工程学院

出　　处：《模糊系统与数学》2005年第1期100-105,共6页Fuzzy Systems and Mathematics

摘　　要：本文中,我们讨论了在定义模糊n-方体数值映射的某种类型的积分时要用到的序有界模糊n-方体数集的上确界与下确界的问题。我们证明了序有界模糊n-方体数集的上、下确界的存在性。In this paper, we discuss the problems of supremum and infimum of order bounded sets of fuzzy n-cell numbers, that is useful in the definition of some kind of integral about fuzzy n-cell number value (mappings.) We show the existence of supremum and infimum, and give out the expressions of supremum and infimum about order bounded sets of fuzzy n-cell numbers.

关 键 词：模糊数 模糊n-方体数 嵌入定理 上确界 下确界 

分 类 号：O159[理学—数学]