Research Of Fuzzy Multi-attribute Decision Making Method Based On Grey Correlation Analysis

Multi-Attribute Group Decision Making exists in every aspect of our life, also includes modern decision science, emergency decision and so on, Its theory and decision-making method is applied to the practical problems such as construction project, investment decision, military management, production decision, project bidding and so on. Based on the decision information given by the decision maker or expert, the selected scheme is sorted and the optimal scheme is obtained, which is the nature of Multi-Attribute Group Decision Making. But in many practical decisions, Due to the uncertainty of the development of the objective things, the limited knowledge of the decision makers and the limitation of the decision-making project, This resulted in when the evaluation information is given, numerical exact decision-makers and experts can not give exact numerical value, in a certain range of hesitation, Therefore, the attribute value is evaluated by the form of hesitation fuzzy, interval hesitation fuzzy and intuitionistic fuzzy, the study of fuzzy multi-attribute group decision making has great significance not only in the practical problem but also in the academic field. In this paper, through the research of decision making method of hesitation fuzzy, interval hesitation fuzzy and intuitionistic fuzzy, analysis the three kinds of fuzzy group decision making methods and propose decision-making strategy, Mainly through the gray correlation degree analysis method to solve the fuzzy multi-attribute decision making problem, and through the example analysis shows that the method is effective and simple.(1) Considing the relationship between decision attributes in the fuzzy multiple attribute decision making, consider the mutually inclusive relationship information in each of the attributes based on the weights of decision attributes with cross entropy, Therefore, Use the gray correlation analysis method to measure the correlation degree between attributes, The minimum value as the independent threshold and obtain the independent matrix, Through the adjustment of the attribute weights to get the final attribute weight value and sort the program.(2) According to the algorithm and properties of interval hesitation fuzzy, define the geometric mean fuzzy operator, And the value is used as the value of the risk neutral decision expand the value, Improve the objectivity of decision making, the optimal scheme is determined by using the algorithm of interval numbers, use the grey correlation analysis method in interval hesitation fuzzy decision making, determine the weight of each attribute value based on Euclidean distance, Finally, the geometric mean is as the decision matrix, combined with the gray correlation analysis method and the interval number algorithm, and the decision scheme is sorted.(3) Research of intuitionistic fuzzy sets based on Grey Correlation Analysis in the problem of intuitionistic fuzzy multiple attribute decision making, Use the information entropy to adjust the weights that is determined by the projection method, Combine the distance between each solution and the optimal scheme, Use the grey correlation analysis method to selecte the optimal decision scheme, The model is applied to multi-attribute decision making of project risk investment in the example of project risk investment analysis.