The Study On The Problem Of The Multi-attribute Decision Making Under Incomplete Information And A Type Of The Muti-objective Decision Making

Multi-criteria decision making (MCDM) is defined by making preference decisions over the available alternatives that characterized by multiple, usually conflicting criteria. Multi-criteria decision making is classified into multi-attribute decision making (MADM) and multi-objective decision making (MODM), that is based on the limitless alternatives or the unlimitless alternatives. It is an important part of the decision analysis theory. In this paper, several problems of attribute weights for MADM are deled with; an interactive method for MODM is presented. Generally, the elements that construct the multi-attribute decision making are: decision maker; alternatives set; attribute set; coefficient of weights and the model of aggregated evaluation. The determinant problem of weights of attributes is the crucial one of all. Therefore, the study of attributes weights is significant in theory and practice. The result of MODM is closed relative with the decision maker's subjective will, because the interactive method can know the decision maker's subjective will and can exchange information between the decision maker and the system, it is one of the methods which are very useful and active in the multi-objective decision making problem.The contents of this paper are arranged below:In chapter 1: the development and the basic knowledge of multi-criteria decision making are described. The basic sequence of ideas of this paper is briefly introduced either.In chapter 2: we mainly discuss an interactive method of the MODM.In chapter 3,4: We mainly introduce several methods to the determinant problem of weights of attributes to the multi-attribute decision making.