ABSTRACT.In this paper, the notions of \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy left \( \Gamma \)-ideals, \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy right \( \Gamma \)-ideals and \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy \( \Gamma \)-ideals in ordered \( \Gamma \)-semigroups are introduced and their related properties are investigated. Furthermore, \( (k^{*}, k) \)-lower parts of \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy left \( \Gamma \)-ideals, \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy right \( \Gamma \)-ideals and \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy \( \Gamma \)-ideals are also defined. Finally, left regular, right regular and regular ordered \( \Gamma \)-semigroups in terms of \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy left \( \Gamma \)-ideals and \( (\in, \in \vee (k^{*}, q_k)) \)-fuzzy right \( \Gamma \)-ideals are characterized.