The purpose of this paper is to introduce the notion of a weakly fuzzy quasi-primary ideals in LA-semigroups, we study fuzzy primary, fuzzy quasi-primary, fuzzy completely primary, weakly fuzzy primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Some characterizations of weakly fuzzy primary and weakly fuzzy quasi-primary ideals are obtained. Moreover, we investigate relationships between fuzzy completely primary and weakly fuzzy quasi-primary ideals in LA-semigroups. Finally we show that a fuzzy left ideal $f$ is a weakly fuzzy quasi-primary ideal of $S_{2}$ if and only if $S_{1}×f$ is a weakly fuzzy quasi-primary ideal of $S_{1}×S_{2}$.