@article{Wang2022, 
author = {Han Wang and Jianrong Wu},
title = {The norm of continuous linear operator between two fuzzy quasi-normed spaces},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {11759-11771},
keywords = {fuzzy quasi-norm, continuous linear operator, bounded linear operator, family of star quasi-seminorms, fuzzy functional analysis},
url = {https://www.sciopen.com/article/10.3934/math.2022655},
doi = {10.3934/math.2022655},
abstract = {In this paper, firstly, we introduce the concepts of continuity and boundedness of linear operators between two fuzzy quasi-normed spaces with general continuous t-norms, prove the equivalence of them, and point out that the set of all continuous linear operators forms a convex cone. Secondly, we establish the family of star quasi-seminorms on the cone of continuous linear operators, and construct a fuzzy quasi-norm of a continuous linear operator.}
}