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We propose a scenario to obtain non-trivial Yukawa coupling matrices for the quark-lepton mass generation in supersymmetric intersecting D-brane models in type IIA T^6/Z_2 x Z_2 orientifold. As an example, an explicit model is constructed in which all the four generations of quarks and leptons and two pairs of massless Higgs fields are composite. In this model non-trivial Yukawa interactions are obtained by the interplay between the string-level higher dimensional interactions among "preons"doi:10.1088/1126-6708/2004/11/044 fatcat:naff65lfqvemvdowit54af2ooy