几何效应的可拓知识表示研究  

Extension knowledge representation of geometric effects

作　　者：葛标标 杨春燕[1,2] 汤龙 GE Biaobiao;YANG Chunyan;TANG Long(Institute of Extenics and Innovation Methods,Guangdong University of Technology,Guangzhou 510006,China;School of Electromechanical Engineering,Guangdong University of Technology,Guangzhou 510006,China;School of Artificial Intelligence,Nanjing University of Information Science&Technology,Nanjing 210044,China)

机构地区：[1]广东工业大学可拓学与创新方法研究所,广东广州510006 [2]广东工业大学机电工程学院,广东广州510006 [3]南京信息工程大学人工智能学院,江苏南京210044

出　　处：《智能系统学报》2022年第6期1235-1243,共9页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金项目(72071049)。

摘　　要：科学效应中蕴含庞大的科学知识,是面向功能矛盾问题求解的重要基础。为了建立科学效应的可拓知识库,实现面向功能问题的可拓智能设计,提出了一种以几何效应为例的面向实际应用的可拓知识表示方法,利用该方法对实际问题中几何效应的输入与输出关系所蕴含的可拓知识进行形式化表示。首先根据几何效应,建立基元模型;根据领域知识和可拓学中的相关规则,建立基元间的相关关系;根据主动变换、传导变换知识和基元的发散规则,对相关网中某基元实施主动变换;再根据可拓变换的蕴含系和传导变换规则,得到一系列的传导变换,进而建立可拓知识表达式,实现输入与输出的转换关系的表达;最后以双曲面搅拌器设计为例进一步拓展相应的可拓知识以解决领域问题。本研究可以使设计人员更加全面地理解几何效应实现的机理,以便更准确地选择应用几何效应解决实际问题,也为其他类型科学效应的可拓知识表示研究打下良好基础。Scientific effect contains huge scientific knowledge, which is an essential basis for solving functional contradiction problems. To establish an extension knowledge base of scientific effect and realize extension intelligent design for function problems, we propose an extension knowledge representation approach for practical application based on geometric effect. With the help of this technique, extension knowledge found in the input-output relationship of geometric effects in real-world issues can be formally represented. First, the basic-element model is developed according to the geometric effect. Domain knowledge and correlation rules in Extenics are used to establish the relationship between basic-elements. According to the knowledge of active transformation, conductive transformation, and the divergence rules of basic-elements, active transformation is performed on basic-elements in the correlation network, and then a series of conductive transformations are obtained based on the extension transformation implication system and conductive transformation rules, and then the extension knowledge expression is established to realize the expression of transformation relationship between input and output. Finally, the hyperbolic mixer design is taken as an example to further expand corresponding extension knowledge to address the field problems. This study can help designers better understand how geometric effects are realized, enabling them to select them more precisely to solve real-world problems. It can also serve as a solid foundation for the extension knowledge representation to include other types of scientific effects.

关 键 词：科学效应 几何效应 可拓知识表示 拓展规则 传导变换规则 相关关系 相关规则 可拓变换 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]