广义 $d$-$\rho$-$(\eta,\theta)$-type I 一致凸非可微多目标规划

Nondifferentiable Multiobjective Programming under Generalized $d$-$\rho$-$(\eta,\theta)$-Type I Univexity

中文关键词:  多目标规划  广义 $d$-$\rho$-$(\eta,\theta)$-type I一致凸  对偶性  最优性.

英文关键词:multiobjective programming  generalized $d$-$\rho$-$(\eta,\theta)$-type I univexity  duality  optimality.

中文摘要:

      在 $d$-$\rho$-$(\eta,\theta)$ 不变凸函数, type I 函数及一致凸函数定义的基础上, 本文提出广义$d$-$\rho$-$(\eta,\theta)$ -type I一致凸函数. 利用这些概念,得到可行解是有效解的几个充分条件, 并导出Mond-Weir型对偶的一些相关理论.

英文摘要:

      In this paper, on the basis of notions of $d$-$\rho$-$(\eta,\theta)$-invex function, type I function and univex function, we present new classes of generalized $d$-$\rho$-$(\eta,\theta)$-type I univex functions. By using these new concepts, we obtain several sufficient optimality conditions for a feasible solution to be an efficient solution, and derive some Mond-Weir type duality results.