Considering the uncertainty and complexity in actual decision-making environments, a grey target decision-
making model with multi-objective, multi-index and multi-target situation is proposed. Firstly, the target evaluation values
under corresponding situations are assembled as a combined effect value, which simplifies the complex multi-levers decision-
making problem. Then, a new comprehensive target-eyes distance is proposed, which integrates the distance between the
different situations to the positive and negative clouts. A non-linear optimization model is constructed to solve the optimal
objective weights while taking the minimization of the comprehensive target-eyes distance as the objective function. Finally,
an example of the green parts of a product supplier selection is studied to verify the effectiveness and practicality of the
multi-objective grey target decision model based on the positive and negative clouts.