Research On Multiple Attribute Decision-Making

Multiple attribute decision-making, which is one of the most important parts of decision-making theory and modern decision-making science, is widely used in many fields, such as engineering designs, society, economy, management, military affairs etc. The main contents and achievements of this thesis are as follows:In Chapter 2, sensitivity analysis for Multiple Attribute Decision Making is studied. First, a new method about how other weights will change when one or some of the attribute weights change is proposed, meanwhile the weight perturbation bounds of attribute which keep the same sequence when the weight of one or some other attribute changes is also discussed. Then, based on the standardized attribute values, an algorithm about the perturbation bounds of each attribute value is given. At last the perturbation bounds of each attribute value and attribute weight, which make the alternative maintain the same sort, are obtained.In Chapter 3, the mathematical operations formula of non-average interval number is listed. And a comparison of interval number is put forward. Meanwhile, the results of two methods are compared by simulation.In Chapter 4, a new method is put forward when only the decision maker's preference is given. A new conversion formula is proposed, and the sorting of the plans are obtained.