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Galois Connections in Data Analysis: Contributions from the Soviet Era and Modern Russian Research

  • Chapter
Formal Concept Analysis

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3626))

Abstract

A retrospective survey of several research directions at the All-Soviet (now All-Russia) Institute for Scientific and Technical Information (VINITI), as well as research represented in several VINITI editions, is proposed. In a number of papers of the 1970-1980s, taxonomies (classifications) were naturally considered as lattices. Several problems of classification required consideration of tolerance relations as a model of similarity of objects. Such relations define symmetric formal contexts. A JSM-method of inductive plausible reasoning, which has been developed at VINITI since the early 1980s, is considered in terms of Galois connections and concept lattices. Mathematical research around the JSM-method and its applications is discussed.

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Authors and Affiliations

  1. All-Russia Institute for Scientific and Technical Information (VINITI), Usievicha 20, 125190, Moscow, Russia

    Sergei O. Kuznetsov

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  1. Sergei O. Kuznetsov
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  1. Institute of Algebra, University of Technology, Dresden, Germany

    Bernhard Ganter

  2. Research Center L3S, Appelstr. 9a, D-30167, Hannover, Germany

    Gerd Stumme

  3. Fachbereich Mathematik, Technische Universität Darmstadt, D–64289, Darmstadt

    Rudolf Wille

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Kuznetsov, S.O. (2005). Galois Connections in Data Analysis: Contributions from the Soviet Era and Modern Russian Research. In: Ganter, B., Stumme, G., Wille, R. (eds) Formal Concept Analysis. Lecture Notes in Computer Science(), vol 3626. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11528784_11

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