Application And Methods Of Uncertain Extension Group Decision-making Optimization

With the research of group decision making theory beginning in the 1970's, then through the overlap and combination of multi-disciplinary, a systematic theory system of group decision making has been gradually taken shape. Its research results are widely used in economic management, systems science, and etc.. Due to inherent complexity such as preferences, weights, and etc. in group decision making problems, the introduction of extension theoretical and method helps a related uncertain analysis and understanding of its inherent mechanism in order to aid management decisions.Based on matter-element analysis and group decision-making theories, aiming at the promotion on efficiency and effectiveness of extension group decision-making, this thesis makes a comprehensive and systematic analysis and research of theoretic system of extension group decision-making. It applies methods of management science, information technology, and etc. to profound investigation into optimization of extension group decision-making process under uncertainty, and combines with specific examples in simulation studies. It mainly revolves the following aspects:Firstly, on account of features of missing data and requirements of data processing in extension group decision-making, it brings forward the meaning, nature of extension correspondence and analyzes its superiority in data prediction in extension group decision-making by analyzing the distance, bit value of correlation function, model and steps of data interval analysis of extension group decision-making based on extension correspondence. Not only does this method reduce the decision-making bias by subjective estimation, but also improves the results of data forecasting and analysis, and provides a basis for recognition, judging and selection extension group decision-making under uncertainty.Secondly, in accordance with the effectiveness and systematization of extension group decision-making, on the combination of extension set with group decision optimization, it studies the weight optimization and extension association, contradictory problem description and extension transformation, the goodness and the extension space under decision-making preferences of the multi-dimensionality group decision-making under uncertainty from the perspectives of reliability and sensitivity analyses, relevance and variability of extension group decision-making. It achieves the goal of comparison and selection of object based on group interaction and individual preferences assembly, and broadens the scope of study and application of extension group decision-making.Thirdly, in terms of the problem of data mining in group decision-making with matter-element extension set, on the combination of correlation function with decision one and integrating extension transformation with equivalence relation, it studies classification and clustering, rules extraction and data analysis of extension group decision-making under uncertainty. It builds a data mining model of extension group decision-making as a result of solving systematic decision-making problems of multi-project extension classification and recognition, so as to improve the systematization of extension group decision-making analysis under uncertainty.Lastly, through the description of status quo and developing trend of domestic toy industry under the financial crisis, the quantitative and qualitative analysis methods of extension group decision-making are introduced into the improvement and innovation of "SLUBAN" toy series of Century Youyi Toys Co., Ltd.. According to the statistics of market research, creative competition and regional sales performance, the extension group decision-making methods are used to make classification and decision-making of product development, transformation and package sales of "SLUBAN" toys so as to aid the enterprise to work out its product development strategies.