The Extensive Solution Of Multi-objective Programming

The multi-objective programming is optimization problem of given restrict conditions which the people often come across in project technique, science research and economy management field. For example in resource distribution, each user want to use the limited resource to get the max benefit; in produce program, according to the flow of craft-work and the requirement of buyer, we should reduce manpower, equipment ,raw and processed materials; in project designing, it means how to choose fit parameter to make the project scheme satisfy the demand of fact and reduce the cost of project. In this paper we introduce some theories and major study on multi-objective, in the meantime, we summarize several common methods in multi-objective programming. But these methods are not suitable to solve problems about antipathetic programming between the goals and conditions. So we use theory of extension to solve the problems about solution of multi-objective programming in this paper.Extension is a theoretical and methodological science of researching and dealing with incompatible problem, which is the transverse science throughout the natural science and social science. It is the laws and methods from the perspective of qualitative and quantitative study on the two issues to resolve contradictions by using formal tools. As with the relationship between the number of forms, there is room for the existence of mathematics, there extension of the battlefield.Therefore in this paper we introduce the notion of extensive optimization based on extensive mathematics and theory of matter-element. We also establish extensive multi-objective programming model in order to do researches on choosing, optimization distribution and satisfaction of the solution according to the real requirement. And then we get the satisfied solution which is the most concerned by people.