The Expected Value Model of Multiobjective Programming and its Solution Method Based on Bifuzzy Environment

In this paper, based on bifuzzy theory, we study the multiobjective programming problem under bifuzzy environment and present the expected value model to the problem. Furthermore, to the proposed model, the concepts of non-inferior solution are defined, and their relations are also discussed. According to practical decision-making process, a solution method, called the method of main objective function, has been studied, whose results can facilitate us to design algorithms to solve the bifuzzy multiobjective programming problem. Finally, a numerical example is given to explain the proposed method.