Study On Methods For Hybrid Multiple Attribute Group Decision Making Facing Group Evaluation

Nowadays studies on group decision making are more and more concerned by people, and thereinto the study on multiple attribute group decision making (MAGDM) becomes an important field on the science of decision making. The problems that MAGDM try to solve are to aggregate individual judgment to form group judgment, then to synthesize the group judgment using certain decision making technique to compare, to evaluate and to sort the order of candidate solutions or to select the relative satisfactory solutions. In decision making activities, it is inevitable to meet hybrid MAGDM problems that need quantitative analysis and qualitative analysis simultaneously.Study on methods for hybrid MADGM facing group evaluation researches on how to manage the datum information, how to make certain the important weights of attributes and decision makers and how to aggregate the information to form the final result of candidate solutions after decision makers have presented the evaluation information on attributes of candidate solutions. The purpose of the study is to present the concrete solution methods for different types of hybrid MAGDM problems based on theoretical analysis. The methodologies of this dissertation are mathematical reasoning along with theory analysis, quantitative analysis together with qualitative investigation, and concrete problem combined with correlative theories. After background introduction and review of literatures, the basic problems of hybrid MAGDM problems are studied firstly; then corresponding arithmetic models are presented to solve different types of hybrid MAGDM problems.The hybrid MAGDM problems are classified basing on attributes values, the importance weights of attributes and the importance weights of decision makers synthetically. Thereinto the hybrid MAGDM problems are classified into low, medium and high-hybrid attribute values problems based on the hybrid degree of attribute values; they are also classified into none preference, with preference on attributes and with preference on candidate solutions based on the number of known attribute weights after redefinition of the concept of preference. New normalization method for attribute values is presented, that is, the interval range difference normalization method (IRDN method), and is used in the method study of hybrid MAGDM problems all-around. The concept of new group numerical ideal point and its normalization methods is also presented. Aiming at the characteristic of hybrid datum of hybrid MAGDM problems, the process of hybrid MAGDM problems are introduced respectively under known or unknown importance weights of attributes and decision makers. The applicability of'expert information pre-treatment method'and'expert information post-treatment method'is discussed. Many concrete methods are put forward to solve the hybrid MAGDM problems, they are, the hybrid MAGDM TOPSIS method based the group numerical ideal point, the hybrid MAGDM method based on three-unit connection number; the hybrid MAGDM method based on weighted set-valued statistics, the hybrid MAGDM method based on entropy weight grey related analysis, the hybrid MAGDM method based on Borda coarse sequence. Several methods to make sure the objective and subjective importance weights of attributes and decision makers are also presented, they are, the minimizing deviation method, the minimizing difference-value method, the three-unit connection number method, the similarity degree method and the generalized scale method.