Convex cones are closely related to preference relations and play an important role in optimization.Corresponding to any convex cone,a binary relation can be defined,but the reverse is not true.Therefore,many binary r...Convex cones are closely related to preference relations and play an important role in optimization.Corresponding to any convex cone,a binary relation can be defined,but the reverse is not true.Therefore,many binary relations are discarded in the optimization.This paper is an attempt to define or prove the prerequisites for using convex coradiant sets(coradiants for simplicity)instead of convex cones so that more binary relations can be used in optimization and nonlinear analysis.展开更多
文摘Convex cones are closely related to preference relations and play an important role in optimization.Corresponding to any convex cone,a binary relation can be defined,but the reverse is not true.Therefore,many binary relations are discarded in the optimization.This paper is an attempt to define or prove the prerequisites for using convex coradiant sets(coradiants for simplicity)instead of convex cones so that more binary relations can be used in optimization and nonlinear analysis.
