@article{Li2022, 
author = {Ruini Li and Jianrong Wu},
title = {Hahn-Banach type theorems and the separation of convex sets for fuzzy quasi-normed spaces},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {3290-3302},
keywords = {fuzzy quasi-normed space, continuous linear functional, Hahn-Banach extension theorem, separation theorem},
url = {https://www.sciopen.com/article/10.3934/math.2022183},
doi = {10.3934/math.2022183},
abstract = {In this paper, we first study continuous linear functionals on a fuzzy quasi-normed space, obtain a characterization of continuous linear functionals, and point out that the set of all continuous linear functionals forms a convex cone and can be equipped with a weak fuzzy quasi-norm. Next, we prove a theorem of Hahn-Banach type and two separation theorems for convex subsets of fuzzy quasinormed spaces.}
}