给出一类新的二阶广义(F,α,ρ,θ)-d-Ⅴ-Ⅰ型一致不变凸的概念,讨论了极大极小分式规划问题(P),建立了规划(P)的一个二阶对偶模型,并利用此二阶广义Ⅰ型一致不变凸性,得到了弱对偶、强对偶和严格逆对偶定理.
A new concept of second-order generalized(F,α,ρ,θ)-d-Ⅴ-Ⅰ type univexity was introduced,a minimax fractional programming problem(P) was considered,and a second-order dual model of programming(P) was formulated.And weak duality strong duality and strict converse duality theorems were obtained on the basis of this second-order generalized type Ⅰ univexity.