Visualization of High Dimension Multi-Objective of Rotation Basis Based on Interactive Decision Making

In order to solve the problem that the Pareto optimal solutions of the high dimension multiobjective optimization problem cannot be displayed effectively,this paper proposes a new visualization technique for high dimension multi-objective of rotation basis based on interactive decision making.Firstly,the quality of each objective in Pareto optimal solutions is reflected on the rotation angle of the basis vector.Secondly,the basis vector after rotation is stacked successively based on the basic point of the drawing as the initial position.Finally,the Pareto optimal solutions by an independent path are mapped to a polygonal line on the plane of two-dimensional space.Based on this idea mentioned above,the visualization model is designed.Experimental results show that this technique can effectively reflect many conditions,such as the performance of the Pareto optimal solutions,the fluctuation among the objectives and the quality of solutions.Meanwhile,the purpose that the decision-maker can conveniently analyze the Pareto optimal solutions and make decisions can be achieved.