Generalized convexity analysis is widely applied in optimization theory,control theory,decision theory and other disciplines.As an important carrier of convex analysis,convex sets and convex functions play important roleas in the research of optimization theory.But many sets and functions in the practical problems are nonconvex that limit the solution of the problem,thus the concept of generalized convex sets and generalized convex functions appear.There are many scholars that have been taken into the study...