概念域与地质概念的数学特征

THE CONCEPTIONAL FIELD AND THE MATHEMATICAL CHARACTERISTICS OF GEOLOGICAL CONCEPT

在概念的定量化进展总可以归结为概念内涵指标的量化及优化和特征函数的改进的认识基础上,提出了概念空间、概念域和地质概念的数学特征等概念,为从内涵上研究地质对象提供了基本度量空间,并指明了研究的基本内容,通过对比地理空间上地质研究的特点,本文还论述了从内涵意义上考查地质对象的必要性,给出了中酸性侵入岩氧化物成分数据在概念域上的初步研究结果,展示了地质统计学在多维抽象空间中应用的前景。

It is believed that an advance of the quantification of a concept has always reduced to the quantification/optimization of its intrinsic attributes and the improvement of its characteristics function, so the concepts of conceptional space, conceptional field and the mathematical characteristics of the geological concept are introduced to provide a fundamental measure space and a basic concept for the study of geological objects in the sense of intension. Through contrasting to the geological study of geographical space, the necessity of observing geological objects from intension is discussed. A primary study on oxide data of intermidi-ateacid intrusive rocks is given as a case, which indicates a vista of the application of geo-statistics in abstract space.