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Formal Concept Analysis in Information Science
 ANNUAL REVIEW OF INFORMATION SCIENCE AND TECHNOLOGY
, 1996
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Formal concept analysis as mathematical theory of concepts and concept hierarchies
 Formal Concept Analysis, Foundations and Applications
, 2005
"... Abstract. Formal Concept Analysis has been originally developed as a subfield of Applied Mathematics based on the mathematization of concept and concept hierarchy. Only after more than a decade of development, the connections to the philosophical logic of human thought became clearer and even later ..."
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Abstract. Formal Concept Analysis has been originally developed as a subfield of Applied Mathematics based on the mathematization of concept and concept hierarchy. Only after more than a decade of development, the connections to the philosophical logic of human thought became clearer and even later the connections to Piaget’s cognitive structuralism which Thomas Bernhard Seiler convincingly elaborated to a comprehensive theory of concepts in his recent book [Se01]. It is the main concern of this paper to show the surprisingly rich correspondences between Seiler’s multifarious aspects of concepts in the human mind and the structural properties and relationships of formal concepts in Formal Concept Analysis. These correspondences make understandable, what has been experienced in a great multitude of applications, that Formal Concept Analysis may function in the sense of transdisciplinary mathematics, i.e., it allows mathematical thought to aggregate with other ways of thinking and thereby to support human thought and action. 1 Formal Concept Analysis, Mathematics, and Logic Formal Concept Analysis had its origin in activities of restructuring mathematics, in particular mathematical order and lattice theory. In the initial paper [Wi82], restructuring lattice theory is explained as “an attempt to reinvigorate connections with our general culture by interpreting the theory as concretely as possible, and in this way to promote better communication between lattice theorists and potential users of lattice theory. ” Since then, Formal Concept Analysis has been developed as a subfield of Applied Mathematics based on the mathematization of concepts and concept hierarchies. Only after more than a decade of development, the connections to Philosophical Logics of human thought became clearer, mainly through Charles Sanders Peirce’s late philosophy. Even our general understanding of mathematics did improve as pointed out in the recent paper “Kommunikative Rationalität, Logik und Mathematik ” (“Communicative Rationality, Logic, and Mathematics”) [Wi02b]. The concern of that paper is to explain and to substantiate the following thesis:
A ContextualLogic Extension of TOSCANA
, 2000
"... The aim of this paper is to indicate how TOSCANA may be extended to allow graphical representations not only of concept lattices but also of concept graphs in the sense of Contextual Logic. The contextuallogic extension of TOSCANA requires the logical scaling of conceptual and relational scales ..."
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The aim of this paper is to indicate how TOSCANA may be extended to allow graphical representations not only of concept lattices but also of concept graphs in the sense of Contextual Logic. The contextuallogic extension of TOSCANA requires the logical scaling of conceptual and relational scales for which we propose the Peircean Algebraic Logic as reconstructed by R. W. Burch. As graphical representations we recommend, besides labelled line diagrams of concept lattices and Sowa's diagrams of conceptual graphs, particular information maps for utilizing background knowledge as much as possible. Our considerations are illustrated by a small information system about the domestic ights in Austria.
Formal Concept Analysis on its Way from Mathematics to Computer Science
 Proc. 10th Intl. Conf. on Conceptual Structures (ICCS 2002). LNCS
, 2002
"... In the last years, the main orientation of Formal Concept Analysis (FCA) has turned from mathematics towards computer science. ..."
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In the last years, the main orientation of Formal Concept Analysis (FCA) has turned from mathematics towards computer science.
Mathematical logic with diagrams. based on the existential graphs of peirce. Habilitation thesis. To be published. Available at: http://www.drdau.net
, 2006
"... Disclaimer: This is (nearly) the final version of this treatise. There will be no more content added. It is only subject of a further proofreading. For this reason, if you find any misspellings, gaps, flaws, etc., please contact me ..."
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Cited by 7 (7 self)
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Disclaimer: This is (nearly) the final version of this treatise. There will be no more content added. It is only subject of a further proofreading. For this reason, if you find any misspellings, gaps, flaws, etc., please contact me
Conceptual knowledge discovery – a humancentered approach
 Journal of Applied Artificial Intelligence
"... In this paper we discuss Conceptual Knowledge Discovery in Databases (CKDD) as it is developing in the field of Conceptual Knowledge Processing. Conceptual Knowledge Processing is based on the mathematical theory of Formal Concept Analysis which has become a successful theory for data analysis durin ..."
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In this paper we discuss Conceptual Knowledge Discovery in Databases (CKDD) as it is developing in the field of Conceptual Knowledge Processing. Conceptual Knowledge Processing is based on the mathematical theory of Formal Concept Analysis which has become a successful theory for data analysis during the last two decades. CKDD aims to support a humancentered process of discovering knowledge from data by visualizing and analyzing the conceptual structure of the data. We dicuss how the management system TOSCANA for conceptual information systems supports CKDD, and illustrate it by two applications in database marketing and flight movement analysis. Finally, we present a new tool for conceptual deviation discovery, Chianti. 1
Relational Constructions on Semiconcept Graphs
"... The aim of the paper is to develop a logic of relations on semiconcept graphs corresponding to the Contextual Logic of Relations on power context families. Semiconcept graphs allow the representation of negations. The operations from Peircean Algebraic Logic (i.e., the operations of relation algebra ..."
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The aim of the paper is to develop a logic of relations on semiconcept graphs corresponding to the Contextual Logic of Relations on power context families. Semiconcept graphs allow the representation of negations. The operations from Peircean Algebraic Logic (i.e., the operations of relation algebras of power context families) are used to generate compound semiconcepts (or relations, resp.). For an arbitrary (semi)concept graph, most specific semiconcept graphs are constructed where a compound semiconcept is assigned to each of the edges, i.e. compound semiconcepts are constructed directly on semiconcept graphs independent of the corresponding power context family. Contents 1.
Two Instances of Peirce's Reduction Thesis
 IN ROKIA MISSAOUI AND JÜRG SCHMID, EDITORS, ICFCA, VOLUME 3874 OF LECTURE NOTES IN COMPUTER SCIENCE
, 2006
"... A main goal of Formal Concept Analysis (FCA) from its very beginning has been the support of rational communication by formalizing and visualizing concepts. In the last years, this approach has been extended to traditional logic based on the doctrines of concepts, judgements and conclusions, lea ..."
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A main goal of Formal Concept Analysis (FCA) from its very beginning has been the support of rational communication by formalizing and visualizing concepts. In the last years, this approach has been extended to traditional logic based on the doctrines of concepts, judgements and conclusions, leading to a framework called Contextual Logic. Much of the work
Relational Scaling and Databases To be published in the SpringerVerlag LNCS Series
"... Abstract More than 20 years of theoretical development and practical experience in the field of Conceptual Information Systems have made available a wide variety of structure and procedures to gain new knowledge from data or to present it in a userfriendly way, by restructuring the data in a concep ..."
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Abstract More than 20 years of theoretical development and practical experience in the field of Conceptual Information Systems have made available a wide variety of structure and procedures to gain new knowledge from data or to present it in a userfriendly way, by restructuring the data in a conceptual way to help the user interpret and understand the meaning. Even longer, Database Theory has helped develop highly efficient database systems, processing daily huge amounts of data. However, both theories can profit from a cooperation: on the one hand, data and database modeling methodologies could be applied to the building of Conceptual Information System, the connection between the presented conceptual structures and the original data can be clarified. On the other hand, database theory may profit from the experience and ideas for more usercentered interfaces to the stored data, as well as profit from the translation of theoretical results. In this paper, we present the first necessary steps to perform a translation between the languages used in both domains. For this purpose, we introduce basic notions from Database Theory with a focus on the operations, which are basic for a first application: a more formal way to describe the process of Relational Scaling [PW99] and the transformation of data for Conceptual Information Systems in general. Conversely, we present an approach for a standard problem of database theory by using methods from Formal Concept Analysis. Finally, we discuss the next steps needed for the integration of these two theories. 1
REASONING WITH NARRATIVES
"... For the entire process reflected in this thesis, I am deeply indebted to my advisor Dr. Peter Øhrstrøm, and to Dr. Adil Kabbaj of the INSEA institute in Morocco, both of whom have been of tremendous support and inspiration as scholars and as humans. Without the cordiality and encouragement I have re ..."
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For the entire process reflected in this thesis, I am deeply indebted to my advisor Dr. Peter Øhrstrøm, and to Dr. Adil Kabbaj of the INSEA institute in Morocco, both of whom have been of tremendous support and inspiration as scholars and as humans. Without the cordiality and encouragement I have received from them, little would have been accomplished. ‘Reasoning with Narratives ’ is an attempt to combine narrative theory with theories of knowledge representation and knowledge acquisition in order to establish a foundation for computer aided narrative analysis. The theoretical foundation in the area of narratology is mainly derived from a structural approach. A number of narratologies are examined, and a unified model based on the notions of succession, transformation, and mediation is presented. Furthermore, an elaboration of the actantial model is presented in order to account for matters of narrative mediation. Formal representations