Study On Theory, Methods And Applications For Hybrid Multiple Attribute Decision-making

In real problems containing society, economic and military affairs, there exist a lot of the hybrid multiple attribute decision-making problems, it is greatly significant to study hybrid multiple attribute decision-making theory and approaches as well as their applications. At presents, the study on this subject isn't perfect .Therefore, it is worth studying on the hybrid multiple attribute decision-making.A few methods are studied in this paper, and the major work lies in the following three parts:This paper researches two compromise methods' application of the hybrid multiple attribute decision-making, and presents the hybrid multiple index sequence' TOPSIS method without weights, also establishes the model to get weights, widening the TOPSIS method' range. At the same time, using the VTKOR method to solve the hybrid decision-making problems first, and puts forward methods aiming at weights which is known or unknown, through calculating and analyzing on living examples, it illustrate the rationalization and correctness of the methods.The projection method of the hybrid multiple index sequence containing precision numbers, interval numbers and fuzzy numbers has been established. At the same time, this paper establishes a warp function to get the unknown weights, and the projection method which applied in hybrid multiple attribute decision-making is a success, also puts forward a new method for hybrid multiple attribute decision-making problems. Finally, through calculating and analyzing on living examples, it illustrates the rationalization and correctness of this method.Aimed at hybrid multiple attribute decision-making problems, utilizing the advantages of the functional model and relational model, this paper establishes utility function model based on average level, and put forwards the arrange method. At the same time, put forwards the decision-making method based on relational model, combining the idea of ELECTRE and Vague set theory, this paper put forwards a hybrid multiple attribute decision-making method based on relational model.