地理变量量表的数学定义

Mathematical Definition of the Scaling on Geographic Variable

定名量表、顺序量表、间距量表和比率量表的实质是研究对象X的空间结构被评价偏序集(A,≤)评价的结果.由于X A,因此Aj∈A表示为xi∈X的函数.根据这一思路,分别给出了定名量表、顺序量表、间距量表和比率量表等地理变量的数学定义,并以实例验证了其正确性.

The Substance of nominal scaling , ordinal scaling , interval scaling and radio scaling is the result that the spatial construction of the research object X was apprased by the apprased partial odering set(A,≤).Becauses of XA therefore the A_(j)∈A presents the function of x_(i)∈X.According to the study,the mathematical definition and geographic variable for nominal scaling,ordinal scaling,interval scaling and radio scaling are obtained respectively.The correctness is proved by the examples.