Fuzzy normed space theories are important parts in fuzzy analysis,while powerset linear operator is a reasonable form of classic linear operator in fuzzy normed space.

• 模糊赋范空间理论是模糊分析学的重要组成部分，幂集线性算子则是经典线性算子在模糊赋范空间中的极为合理的表现形式。