PUMA publications for /user/hotho/fca%20formalhttps://puma.uni-kassel.de/user/hotho/fca%20formalPUMA RSS feed for /user/hotho/fca%20formal2024-03-29T13:01:20+01:00A triadic approach to formal concept analysishttps://puma.uni-kassel.de/bibtex/22d18c634917546cfa78a73901f0963a3/hothohotho2008-10-21T18:55:23+02:00analysis concept fca formal triadic trias <span class="authorEditorList"><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Fritz Lehmann" itemprop="url" href="/author/Fritz%20Lehmann"><span itemprop="name">F. Lehmann</span></a></span>, and <span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Rudolf Wille" itemprop="url" href="/author/Rudolf%20Wille"><span itemprop="name">R. Wille</span></a></span>. </span><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><span itemtype="http://schema.org/Periodical" itemscope="itemscope" itemprop="isPartOf"><span itemprop="name"><em>Conceptual Structures: Applications, Implementation and Theory</em></span></span> </span>(<em><span>1995<meta content="1995" itemprop="datePublished"/></span></em>)Tue Oct 21 18:55:23 CEST 2008Conceptual Structures: Applications, Implementation and Theory32--43A triadic approach to formal concept analysis1995analysis concept fca formal triadic trias Formal Concept Analysis, developed during the last fifteen years, has been based on the dyadic understanding of a concept constituted by its extension and its intension. The pragmatic philosophy of Charles S. Peirce with his three universal categories, and experiences in data analysis, have suggested a triadic approach to Formal Concept Analysis. This approach starts with the primitive notion of a triadic context defined as a quadruple (G, M, B, Y) where G, M, and B are sets and Y is a ternary relation between G, M, and B, i.e. Y G×M×B; the elements of G, M, and B are called objects, attributes, and conditions, respectively, and (g, m,b) Y is read: the object g has the attribute m under (or according to) the condition b. A triadic concept of a triadic context (G, M, B, Y) is defined as a triple (ASpringerLink - Book ChapterDiscovering Shared Conceptualizations in Folksonomieshttps://puma.uni-kassel.de/bibtex/263901930c137df0c2dad84075c564b14/hothohotho2008-06-17T22:31:22+02:002008 analysis bibsonomy concept discovering fca folksonomy formal myown tagging taggingsurvey <span class="authorEditorList"><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Robert Jäschke" itemprop="url" href="/author/Robert%20J%c3%a4schke"><span itemprop="name">R. Jäschke</span></a></span>, <span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Andreas Hotho" itemprop="url" href="/author/Andreas%20Hotho"><span itemprop="name">A. Hotho</span></a></span>, <span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christoph Schmitz" itemprop="url" href="/author/Christoph%20Schmitz"><span itemprop="name">C. Schmitz</span></a></span>, <span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Bernhard Ganter" itemprop="url" href="/author/Bernhard%20Ganter"><span itemprop="name">B. Ganter</span></a></span>, and <span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Gerd Stumme" itemprop="url" href="/author/Gerd%20Stumme"><span itemprop="name">G. Stumme</span></a></span>. </span><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><span itemtype="http://schema.org/Periodical" itemscope="itemscope" itemprop="isPartOf"><span itemprop="name"><em>Web Semantics: Science, Services and Agents on the World Wide Web</em></span></span> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">6 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">38--53</span></em> </span>(<em><span>February 2008<meta content="February 2008" itemprop="datePublished"/></span></em>)<em>.</em>Tue Jun 17 22:31:22 CEST 2008Semantic Web and Web 2.0Web Semantics: Science, Services and Agents on the World Wide Webfeb138--53Discovering Shared Conceptualizations in Folksonomies620082008 analysis bibsonomy concept discovering fca folksonomy formal myown tagging taggingsurvey Social bookmarking tools are rapidly emerging on the Web. In such systems users are setting up lightweight conceptual structures called folksonomies. Unlike ontologies, shared conceptualizations are not formalized, but rather implicit. We present a new data mining task, the mining of all frequent tri-concepts, together with an efficient algorithm, for discovering these implicit shared conceptualizations. Our approach extends the data mining task of discovering all closed itemsets to three-dimensional data structures to allow for mining folksonomies. We provide a formal definition of the problem, and present an efficient algorithm for its solution. Finally, we show the applicability of our approach on three large real-world examples.ScienceDirect - Web Semantics: Science, Services and Agents on the World Wide Web : Discovering shared conceptualizations in folksonomies