灰数序列关联分析

Relational analysis of grey numeral sequences

定义了取数一致(或取数相反)和取数顺序一致(或取数顺序相反)的离散灰数,指出了两者之间的关系.通过定义灰关联度的白化值为灰数比较序列的白化序列与灰数参考序列的白化序列的关联度给出了灰关联度定义.进一步给出了灰关联度最小、最大白化值的一种计算方法和一些比较序列与参考序列的关联序的一种排法.对取数一致的灰数序列,给出了一种计算灰关联度的简便方法.

Two kinds of discrete grey numbers whose whiting may be consistent (or opposite) and should be consistent in order (or opposite in order) were defined, and their relationship was pointed out. The grey relational grades of some comparatives grey numeral sequences with the reference grey numeral sequences were defined by their whiting values as grades of their whiting sequences. A method of calculating the minimal and the maximal whiting values of the grey relational grades was given and a relational sequence of some comparative grey numeral sequences with the reference grey numeral sequence arranged. A simple method of calculating the grey relational grades of grey numeral sequences whose whiting values are consistent was also obtained.