Visualization technology is conducive to the evaluation and analysis of the solution sets obtained by solving many-objective optimization problem

but the existing many-objective visualization technology cannot effectively preserve Pareto dominance relation

maintain frontier distribution and retain shape.To solve the above problems

this paper presents quasi-circular mapping visualization.Many-objective are uniformly distributed in order on a unit arc according to their correlation.Based on the fitness function value

the solution sets are mapped into a polygon in quasi-circular space.So 3 dimensional visualization of the solution set is achieved through the geometric center and area of polygons.On the basis of this

the quasi-circular domination and equilibrium are defined.The dominance relation and mapping occlusion under quasi-circular mapping are theoretically analyzed and proved.Compared with parallel coordinates

principal component analysis and radial visualization

this method can preserve the Pareto dominance.In addition

it can also reflect frontier distribution and shape in the original space and effectively avoid data blocking.It helps decision makers to evaluate and select many-objective solution sets visually.