Generalized gauge theories and the Weinberg-Salam model with Dirac-Kahler fermions

We extend the previously proposed generalized gauge theory formulation of t he ChernSimons type and topological Yang-Mills type actions into Yang-Mills type actions. We formulate gauge fields and Dirac-Kahler matter fermions b y all degrees of differential forms. The simplest version of the model whic h includes only zero and one-form gauge fields accommodated with the graded Lie algebra of SU(2 \1) supergroup leads the Weinberg-Salam model. Thus th e Weinberg-Salam model formulated by noncommutative geometry is a particula r example of the present formulation.