中文摘要：

考虑多目标规划问题的组合同伦内点法，构造了一个新的组合同伦映射，在某些基本条件下证明了由该映射可以得到一个有界光滑同伦路径．数值追踪这条路径，可以得到多目标规划问题（MOP）的K—K—T点及相应的Lagrange乘子．

英文摘要：

Consider the combined homotopy interior - point method for multi - objective Programming Problems （MOP）. A combined homotopy mapping is constructed. The smooth homotopy path generated by this mapping is proved to be bounded, under some basic assumptions. A MOP are obtained by tracking numerically this path. K -K -T point and corresponding Lagrange multiplier of