With respect to the decision making problems where a lot of fuzzy and grey information always exists in the real-life decision making information system methods as fuzzy mathematics, it is difficult for such uncertain...With respect to the decision making problems where a lot of fuzzy and grey information always exists in the real-life decision making information system methods as fuzzy mathematics, it is difficult for such uncertainty probability, and interval numbers to deal with. To this end, based on the thought and method of grey numbers, grey degrees and interval numbers, the concept of dominance grey degree is defined. And then a method of ranking interval grey numbers based on the dominance grey degree is proposed. After discussing the relevant properties, the paper finally uses an example to demonstrate the effectiveness and applicability of the model. The result shows that the proposed model can more accurately describe uncertainty decision making problems, and realize the total ordering process for multiple-attribute decision-making problems.展开更多
基金supported by the National Natural Science Foundation of China(7117310471171113+8 种基金70901041712712267130107571301064)the Humanities and Social Sciences of Education Ministry(12YJC630262)the Jiangsu Province University Philosophy and Social Sciences for Key Research Program(2012ZDIXM030)the Jiangsu Innovation Program for Graduate Education and the Fundamental Research Funds for the Central Universities(CXLX12 0175)the Nanjing University of Aeronautics and Astronautics(NUAA)Innovation and Excellence Program for PHD Dissertation(BCXJ12-12)NUAA Program for I-U-R(NC2012006)
文摘With respect to the decision making problems where a lot of fuzzy and grey information always exists in the real-life decision making information system methods as fuzzy mathematics, it is difficult for such uncertainty probability, and interval numbers to deal with. To this end, based on the thought and method of grey numbers, grey degrees and interval numbers, the concept of dominance grey degree is defined. And then a method of ranking interval grey numbers based on the dominance grey degree is proposed. After discussing the relevant properties, the paper finally uses an example to demonstrate the effectiveness and applicability of the model. The result shows that the proposed model can more accurately describe uncertainty decision making problems, and realize the total ordering process for multiple-attribute decision-making problems.
