Formal Concept Analysis
Formal Concept Analysis
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DOI：
10.1007/978-3-642-59830-2
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
B. Ganter;Rudolf Wille
中科院分区：
文献类型：
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作者：
B. Ganter;Rudolf Wille
形式概念分析是以概念的抽象化和概念层次为基础的应用数学领域。从而激活数学思维，进行概念数据分析和知识处理。“概念”的基本概念在概念的哲学理论中很早就形成了，至今仍有影响。在数学中，它在世纪数理逻辑的出现中扮演了特殊的角色。然而，后来它对数学思维几乎没有影响。直到1979年，这一专题才被重新讨论并得到更彻底的处理。从那时起，形式概念分析已经完全出现，引发了大量的出版物，这本教科书的第一版确立了自己作为文献中的标准参考，共有10000+引用。这是第二版，修订和扩展，最初在德国出版的教科书（1996年），翻译成英语（1999年），给出了系统的介绍数学基础，同时也专注于其可能的应用数据分析和知识处理。在数字化知识处理的时代，概念分析的形式化方法越来越重要。这本书使这种方法的基本理论在一个紧凑的形式访问，并提出了图形方法表示的概念系统，已证明自己在沟通知识必不可少的。教科书用进一步的注释、参考文献和趋势补充了每章，将工作置于现代背景下，并突出了进一步研究的潜在方向。此外，这本书包含了一个关于上下文概念逻辑的全新章节，包括描述逻辑和关系概念分析的部分。因此，它应该是学生，教师和研究人员在应用和离散数学，逻辑学，理论计算机科学，知识处理，数据科学等学科领域的十字路口的宝贵资源，并用于研究和课堂，作为教学资源。
Formal Concept Analysis is a field of applied mathematics based on the mathematization of concept and conceptual hierarchy. It thereby activates mathematical thinking for conceptual data analysis and knowledge processing. The underlying notion of" concept" evolved early in the philosophical theory of concepts and still has effects today. In mathematics it played a special role during the emergence of mathematical logic in the 19th century. Subsequently, however, it had virtually no impact on mathematical thinking. It was not until 1979 that the topic was revisited and treated more thoroughly. Since then, Formal Concept Analysis has fully emerged, sparking a multitude of publications for which the first edition of this textbook established itself as the standard reference in the literature, with a total of 10000+ citations. This is the second edition, revised and extended, of the textbook published originally in German (1996) and translated into English (1999), giving a systematic presentation of the mathematical foundations while also focusing on their possible applications for data analysis and knowledge processing. In times of digital knowledge processing, formal methods of conceptual analysis are gaining in importance. The book makes the basic theory for such methods accessible in a compact form, and presents graphical methods for representing concept systems that have proved themselves essential in communicating knowledge. The textbook complements each chapter with further notes, references and trends, putting the work in modern context and highlighting potential directions for further research. Additionally, the book contains an entirely new chapter on contextual concept logic, including a section on description logics and relational concept analysis. As such, it should be a valuable resource for students, instructors and researchers at the crossroads of subject areas like Applied and Discrete Mathematics, Logics, Theoretical Computer Science, Knowledge Processing, Data Science, and is meant to be used both for research and in class, as a teaching resource.