The Theoretical Rearch And Application Of Index's Weight To Be Determined In The Multiple Attribute Decision Making

A decision-making problem that has many schemes always shows multi-attribute aggregated evaluation as it is complexity. The aggregated evaluation is the premise of decision-making. The proper decision-making comes from the scientific aggregated evaluation. In this paper, we mainly discuss the determinant problem of evaluated indices in the procedure of multiple indices (attributes) aggregated evaluation. Usually, the elements that construct the multi-attribute aggregated evaluation are: evaluator (decision maker), evaluated objects (schemes), index (attribute) set, coefficient of weights and the model of aggregated evaluation. The determinant problem of weights of attributes is the crucial one of all. Weight is the important degree of evaluated index. The methods to determine weights are usually divided into two categories: the subjective approach and the objective one. The two approaches to determine weights have both merits and defects, respectively. In order to avoid the disadvantages themselves, the integrated approach to the subjective and objective weights was imposed. At present, the research of it has been a fashion in this field and many results have been acquired.The contents of this paper are arranged below:In chapter 1, the importance of reality of multiple attributes aggregated evaluation is described and the basic sequence of ideas of the paper is briefly introduced either.In chapter 2, we mainly introduce the models of aggregated evaluation, the methods of establishment, selection, agreement, as well as non-unit of evaluated indices.In chapter 3, we relate the meaning and characteristics of subjective and objective approaches, introduce some research results that have been obtained in this field, and give the modified formulas, which are imposed by the author and based onthe G1 method, as the evaluated indices increase or reduce. These formulas make decision makers easily get the indices' weights after the situation of decision makingchanges.In chapter 4, we discuss the origin of the integrated approach and some research results that have been achieved until now, and clearly introduce two methods that are imposed by the author. The two methods attempt to discuss how to utilize the subjective or objective weights that have been obtained to integrate into the last ones from different ways. The effect of the two methods has been verified through an example.