【摘要】 为了使制图对象的质量特征和数量特征在地图上得到有效的表示和反映,需要根据实际情况,采用定名量表、顺序量表、间隔量表和比率量表的形式处理制图资料。本文证明了比率量表可以分别以间隔量表、顺序量表和定名量表的形式表示,但定名量表则不能表示为其他的量表形式。揭示了这4种量表,实为以偏序集(A,≤)有条件地表示偏序集(X,≤)的数学本质。指出定名量表属质量特征的概括,而顺序量表、间隔量表和比率量表则属数量特征的概括。更多还原

【Abstract】 In order to clarify the characteristics of the quality and quantity of mapping targets effectively,the mapping data are processed by nominal,ordinal,interval and ratio scaling.This research shows that ratio scaling can be presented by interval,ordinal and nominal scaling,but the nominal scaling can’t.The mathematical essence of the 4 scaling forms points out that the poset(A,≤)can be indicated by poset(X,≤)conditionally.The nominal scaling belongs to quality features,while ordinal,interval and ratio scaling belong to quantity features.更多还原