The fuzzy ideal (based on the fuzzy point) in unital cycloids is defined and various related properties are investigated. Characterization of fuzzy ideal is discussed, and conditions under which fuzzy sets can be fuzzy ideals are explored. The relationship between the fuzzy ideal and ($\in,$ $\in\! \vee q)$-fuzzy ideal is established. A set $\tilde{X}$ is constructed, and the conditions under which it is an ideal are explored. Conditions in which the $\in_{t}$-set and $Q_{t}$-set become ideals are provided.