Entropy Theory Applied Research, In The Interval Multi-attribute Decision-making

Multi-attribute decision making(MADM) is very important in modern decision making analysis, and its main task is, based on the gathered information, how to determine the priority vector of the alternatives. Because of the complexity and uncertainty involved in real-world decision problems and the inherent subjective nature of human judgment, during practical decision process, decision information is sometimes expressed as interval number. Further more, some studies on theories, methods and application of uncertain multi-attribute decision making have attracted much attention. In this thesis, some problems of interval number multi-attribute decision- making have been investigated.First of all, I do much wok in literature summary on interval number multi-attribute decision making theory to summarize the achievements and good points of the related theories. What's more, I find that there is something that we can do further study work. In this paper, I propose that we should pay more attention on the balance between the complex degree of computation and information content of interval number. If we pay too much attention on information content of interval number, we would lose the best opportunity that make a right decision.If we want to use the deviation maximization theory, we must resolve this problem that how to describe the difference between solutions to be appraised. In this paper, I define a new deviation-function to describe the difference between solutions to be appraised. If the deviation of solutions to be appraised is remarkable, the value of deviation-function that I define is large. Contrariously, the value of deviation-function is small. An other advantage of this deviation-function is it's calculated amount is quite simple.In this paper, I build a new decision-making model on deviation maximization theory and entropy to distribute right weight coefficient to right attribute. In this new decision-making model, I build a double target programming model. By Lagrange-operator, I calculate the best answers to that double target programming model. At last, I use this new decision-making model on deviation maximization theory and entropy in risk assessment in project -financing. The result proves that the new decision-making model is useful and simple.