概念格的一般理论（I）：一般概念格的涌现
A General Theory of Concept Lattice (I): Emergence of General Concept Lattice
摘要：
作为《概念格的一般理论》（A General Theory of Concept Lattice，I-V）论文的第一部分，本文针对对象的属性范畴化问题，建立了一般概念格。与传统的方法，如形式概念格和粗糙集格，一般概念格的设计，坚持的一般原则，即信息内容应该是不变的，无论如何变量/参数的。在这里，我们将通过与传统格结构兼容的一系列实现来明确地证明这种构造的存在。广义概念格可以根据对象类所具有的属性对它们进行全面的分类。结果表明，从一般概念格出发，可以得到形式概念格和粗糙集格。
英文摘要：
As the first part of the treatise on A General Theory of Concept Lattice (I-V), this work develops the general concept lattice for the problem concerning categorization of objects according to their properties. Unlike the conventional approaches, such as the formal concept lattice and the rough set lattice, the general concept lattice is designed to adhere to the general principle that the information content should be invariant regardless how the variables/parameters are presented. Here, one will explicitly demonstrate the existence of such a construction by a sequence of fulfillment compatible with the conventional lattice structure. The general concept lattice promises to be a comprehensive categorization for all the distinctive object classes according to whatever properties they are equipped with. It will be shown that one can always regain the formal concept lattice and rough set lattice from the general concept lattice.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
