A new method for finding major efficient solutions and major optimal solutions of discrete multiobjective programming

Major efficiency is an efficiency theory of multiobjective programming, which is based on the law of majority. For the case that the feasible region is a finite set, an earlier paper gave a comparison-number method for finding the major efficient solution and the major optimal solutions. This paper presents a new method to solve the same problem. The new method is based on a concept of efficient equivalence point sets. The authors give the definition of an efficient equivalence point set, discuss the relationship between it and major efficiency, and present a new approach to finding major efficient (optimal) solutions.