Geometry Average Sorting Method About Interval Number And Its Application

Interval number of the theory is to handle uncertainty of the mathematics problem, one of its theoretical foundation for the engineering and managerial decision-making and in the field of the uncertainty of the problem provides a new approach, based on the establishment of the model number of decisions. In particular, uncertainty multiple attribute decision making problems usually into the interval comparison and scheduling problems, so the interval number sorting and its application problem has important theoretical significance and application value. In recent years, about the study of the method of interval Numbers sort caused the domestic and foreign scholars’attention, made a lot of research achievements. But in practical applications, some sort of method has some interval failure or process trival, large amount of calculation and so on the different problems, it is necessary to further explore the interval number sorting and its application problems. We also found that in the decision matrix, the interval or so are often positive real number, so this article mainly from the uncertainty of the problem solving mathematical theory and application point of view, is set in positive real number discussed the interval scheduling problem, and the specific work as follows:1、First proposed are bounded interval number sort of axiomatic definition,and then gives the definition of axiomatic for are bounded interval number of a sort function-geometric average sort function; Discussed some properties of this sort function, and the corresponding to the credibility of the concept, established is bounded interval number based on geometric average sort function of a sorting method-geometric average sorting method, the corresponding decision-making model and its application.2、Will the geometric average sorting method and the advantages of the matrix ranking[1],deviation and maximize ranking[2] based on relative correlative coefficient ranking interval numbers are compared, and points out the relative correlative coefficient[3] based on interval numbers of ranking is insufficient; And by the example analysis, it is concluded that the geometry average ranking can make up for the relative correlative coefficient based on the shortcomings of interval numbers of the ranking, and has simple calculation, the advantages of less computation, verify the geometry average ranking the rationality and validity.3、In view of the uncertainty of multiple attribute decision making problems interval number sorting method of discussion, In the light of the weighting method, based on combination of subjective and objective weighting method in solving real uncertainty the advantage of the problem, this paper proposes a new combination of subjective and objective weighting method-geometric average combination weighting method. Will the geometric average combination weighting and geometry average sorting method, used to based on interval numbers decision model, a concrete example analysis, and verifies the geometry average combination weighting the rationality and validity, and further explains the interval geometry average ranking in uncertainty multiple attribute decision making problems with heavy practicality.