模糊Riesz空间上模糊序有界线性算子的研究  

A Study of Fuzzy Ordered Bounded Linear Operators on Fuzzy Riesz Spaces

作　　者：陈强 周姮媛 刘艳丽 

机构地区：[1]西华大学理学院,四川 成都

出　　处：《理论数学》2024年第3期74-82,共9页Pure Mathematics

摘　　要：本文首先研究了模糊Riesz空间上模糊线性算子的一些性质,其次讨论了具有模糊主投影性质的模糊Riesz空间上任意两个模糊序有界线性算子的上确界和下确界的存在性,最后给出了模糊线性泛函是模糊序有界的刻画。In this paper, we first study some properties of fuzzy linear operators on fuzzy Riesz spaces. Secondly, we discuss the existence of supremum and infimum of any two fuzzy ordered bounded linear operators on fuzzy Riesz spaces with fuzzy principal projection properties. Finally, we give a characterization that fuzzy linear functionals are fuzzy ordered bounded.

关 键 词：模糊Riesz空间 模糊线性算子 模糊序有界线性泛函 

分 类 号：O17[理学—数学]