模糊赋范Riesz空间上模糊算子的研究

Research on Fuzzy Operators on Fuzzy Normed Riesz Space

本文在模糊赋范Riesz空间中引入-α范数,给出弱模糊范数有界线性泛函的定义。研究了模糊序有界线性泛函与弱模糊范数有界线性泛函之间的关系。在模糊Banach格上,模糊序有界线性泛函和弱模糊范数有界线性泛函是等价的。

In this paper, α-norm is introduced in fuzzy normed Riesz space, and the definition of fuzzy weak norm bounded linear functional is given. The relationship between fuzzy ordered bounded linear functionals and fuzzy weakly norm bounded linear functionals is studied. On fuzzy Banach lattices, fuzzy order bounded linear functionals and fuzzy weak norm bounded linear functionals are equivalent.