Theoretical Study on General Design Theory

通用设计理论（GDT）是对许多工业领域的设计活动的研究，这些设计活动分别具有不同的方面。其目的是明确设计的本质，并构建在各个设计领域普遍有效的模型。我们有两种方法来研究GDT。一种是理论方法，另一种是实验方法。本研究采取了理论方法，旨在更普遍地扩展GDT。本文首先详细介绍了基于数学一般拓扑的设计概念数学模型。从而保证了理论中各定理之间的一致性。通过考虑概念拓扑结构的构建过程，我们可以得到线索来建立智能进步和学习过程的模型。为了解释真实设计者的设计过程，我们将元模型的概念引入到与之相对应的GDT中。我们可以将这一结果作为CAD系统建设的指导原则。这项调查的结果可以概括如下。设计师（或人）的概念可以建模为拓扑空间。智能的进步、学习过程、记忆结构和推理机制都可以用GDT模型描述为拓扑空间。将概念的一些基本特征视为公理，由公理推导出的定理可以恰当地解释实际的设计过程。4. 在拓扑空间上描述的设计过程模型不能直接为CAD提供信息处理方法，但可以作为构建CAD系统的指导原则。未来对GDT的研究将以实验的方式证明GDT的有效性。

General Design Theory (GDT) is the study on designing activities in many industrial fields which have various aspects respectively. Its purpose is to make the essence of design clear and to construct the model which is commonly valid in every design field. We have two approach to study GDT. One is the theoretical approach and the other is experimental. This investigation has taken the theoretical approach and aimed to extend GDT more generally. In this study, firstly the mathematical model of design concepts, which is based on general topology in mathematics, has been detailed. As a result of this, the consistency between theorems in the theory is guaranteed. By considering the construction process of topology of concepts, we could get the cue to make a model of the advancement of intelligence and learning process. To explain the real designer's design process, we introduced the concept of metamodel to GDT which corresponds to it. We could adapt this result to construction of CAD systems as a guiding principle. The result of this investigation could be summarized as follows.1. The concepts of a designer(or a human being) can be modelled as topological spaces.2. Advancement of intelligence, learning process, structure of memory and reasoning mechanism can be described on the model of GDT as topological spaces.3. To consider some fundamental characteristics of concepts as axioms, theorems deduced from axioms can explain the real design process appropriately. 4. The design process model described on topological spaces can offer no information processing method for CAD directly but can be the guiding principle for constructing CAD systems.Future study on GDT is to prove the validity of GDT with results by experimental approach.