[0,1]-valued logic can be seen as a basis of decision making and reasoning complementary to ''black & white'' reasoning. A new [0,1]-valued logic is presented in this paper. Classical (Boolean) {0,1}-valued logic can be treated as a special case of new [0,1]-valued logic. [0,1]-valued logical functions are a generalization of Boolean and/or pseudo-Boolean functions. All properties of classical logic are preserved in [0,1]-valued logic.