In the paper, an arclength notion of continuous curves in fuzzy metric spaces is proposed, and some arclength properties are studied, including invariance, additivity, continuity and boundedness. It turns out that these arclength properties imply the corresponding ones in metric spaces.
['Sheng Chen', 'Peng Shi', 'Cheng-Chew Lim']
Curve arclength in fuzzy metric spaces