The purpose of this paper is to present a new mechanism of multiobjective programming which integrates compromise programming and noninferior set estimation (NISE) methods. The paper begins by first discussing the limitations of the conventional NISE algorithm by Cohn(1978), and then discusses several extended models derived from conventional NISE algorithms including CONNISE and CONWEIGHT algorithms. Next, the new algorithms is expressed in its mathematical form and a numerical example is given to demonstrate its effectiveness (i.e. in controlling the allowable error) and efficiency (i.e. its rapid convergence). Suggestions for further research are also given.