非凸多目标分式规划的对偶性

Nonconvex Duality for Multiobjective Fractional Programs

本文在广义(F,ρ)—凸性条件下,利用有效解概念,给出了多目标分式规划的某些对偶定理。本文结果可看作是对Muherjee工作的改进、推广和统一。

For a multiobjective fractional program which involves inequality and equality constraints, this paper derives some duality theorems from using the concept of efficiency coupled with some generalized(F,ρ)-convexity assumptions on the objective and constraint functions. The main results of the present work can be thought of as improved generalized and extensions of the results of Mukherjee.