Game-based Multi-stage Multi-attribute Decision

Multiple Attribute Decision Making(MADM), one of the most important subjects of decision-making science, is widely used in many fields, such as, investment decision making, item evaluation, optimization alternatives, plant site selection, resource assignment, bidding, and comprehensive evaluation on economic benefit, etc. It is of great significance to study the theories and methodologies of MADM. In the recent 30 years, People have been greatly devoted to the research of MADM problems, and have been making fruitful achievements.However, the application and research of MADM methodologies are still facing new challenges, especially for the research of MADM methodologies. Along with the development of the technology of science and the society, multi-attribute decision-making problems people encountered becomes more and more frequented and complicated. Only by the information of one period to make decisions, have already can not adapt to these changes. Therefore, on the basis of the scheme space and attribute space, the researchers add another space which is called period space.in such a way, people can make good use of the information of the multi periods and solve the decision making problems which in people's real life.This thesis analyzes and summarizes the existed multi-period multi-attribute decision making problem. Combined with the game theory and the thoughts of genetic algorithm, and try to provide an algorithm of multi-period multi-attribute decision making based on the game theory. It can be applied to the problem of the multi-period multi-attribute decision making without period weight information. The Nash equilibrium solution is obtained by using Genetic Algorithm firstly, and an equilibrium profile is a period weight vector. Use the period weight vector we can integrate the period Alternatives sequence of each period,then, we can get a decision Alternatives sequence balanced all periods of the sequence of period Alternatives sequence.The work of this thesis includes three aspects: Firstly, a game model for solving multi-period multi-attribute decision making without period weight information is proposed. The purpose is obtained the period weight by solving game solution. Us the period weight vector we can integrate the period Alternatives sequence of each period, then, we can get a decision Alternatives sequence balanced all periods of the sequence of period Alternatives sequence.Secondly, an algorithm based on game for solving multi-period multi-attribute decision making without period weight information is proposed.Finally, It is demonstrated the algorithm by experiments. The results of experiments show that the game method is effective and feasible.