ABSTRACT.The notion of \( (\tilde{\alpha}, \tilde{\beta}) \)-fuzzy left (right, lateral) ideal is introduced, and related properties are investigated. Also, characterizations of an \( (\varepsilon, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal are provided. Moreover, relations between \( (\varepsilon, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal and \( (q_0^{\delta}, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal are established.