| Vol-2668 urn:nbn:de:0074-2668-2 Copyright © 2020 for the individual papers by the papers' authors. Copyright © 2020 for the volume as a collection by its editors. This volume and its papers are published under the Creative Commons License Attribution 4.0 International (CC BY 4.0).

# CLA 2020
Concept Lattices and Their Applications

### Proceedings of the Fifthteenth International Conference on Concept Lattices and Their Applications

### Tallinn, Estonia, June 29–July 1, 2020.

Edited by

### Francisco J. Valverde-Albacete *
Martin Trnecka **

* Universidad Carlos III de Madrid, Spain
** Palacký University Olomouc, Czech Republic

## Table of Contents

- Preface

### Invited Talks

- The Lattice Computing (LC) Paradigm 1-7
  Vassilis G. Kaburlasos
- Formal Concept Analysis Techniques Can Help in Intelligent Control, Deep Learning, etc. 9-17
  Vladik Kreinovich

### Regular Papers

- Notes on Integer Partitions 19-31
  Bernhard Ganter
- Typicality in Conceptual Atructures Within the Framework of Formal Concept Analysis 33-45
  Radim Belohlavek, Tomas Mikula
- LCM is Well Implemented CbO: Study of LCM from FCA Point of View 47-58
  Radek Janostik, Jan Konecny, Petr Krajča
- Revisiting the GreCon Algorithm for Boolean Matrix Factorization 59-70
  Martin Trnecka, Roman Vyjidacek
- A Hybrid Partitioning Strategy for Distributed FCA 71-82
  Muneeswaran P, Jyoti, Sriram Kailasam
- Remarks on Prime Ideal and Representation Theorems for Double Boolean Algebras 83-94
  Prosenjit Howlader, Mohua Banerjee
- Simple Structure in Boolean Matrix Factorization 95-106
  Martin Trnecka, Marketa Trneckova
- AOC-Poset on Discourse and Argumentation Subgraphs: What Can we Learn on Their Dependencies? 107-118
  Laurine Huber, Justine Reynaud, Mathilde Dargnat, Yannick Toussaint
- Explaining Multicriteria Decision Making with Formal Concept Analysis 119-130
  Alexandre Bazin, Miguel Couceiro, Marie-Dominique Devignes, Amedeo Napoli
- A Link between Pattern Structures and Random Forests 131-143
  Tilo Krause, Lars Lumpe, Stefan E. Schmidt
- Gradual Discovery with Closure Structure of a Concept Lattice 145-157
  Tatiana Makhalova, Sergei O. Kuznetsov, Amedeo Napoli
- Representing Informational Harmoniums using Semifield-Valued Formal Concept Analysis 159-170
  Francisco J. Valverde-Albacete, Carmen Peláez-Moreno
- Exploratory Data Analysis of Multi-label Classification Tasks with Formal Context Analysis 171-183
  Francisco J. Valverde-Albacete, Carmen Peláez-Moreno, Inma P. Cabrera, Pablo Cordero, Manuel Ojeda-Aciego
- Optimization Problems on Posets 185-196
  Christian Jäkel, Stefan E. Schmidt
- Practical Comparison of FCA Extensions to Model Indeterminate Value of Ternary Data 197-208
  Priscilla Keip, Sébastien Ferré, Alain Gutierrez, Marianne Huchard, Pierre Silvie, Pierre Martin
- Sequence Mining Using FCA and the NextPriorityConcept Algorithm 209-222
  Salah Eddine Boukhetta, Christophe Demko, Jérémy Richard, Karell Bertet
- A CbO-based Algorithm for Mining Class Relevant Patterns 223-234
  Hirohisa Seki, Taiki Yamada
- Discovery of Link Keys in RDF Data Based on Pattern Structures: Preliminary Steps 235-246
  Nacira Abbas, Jérôme David, Amedeo Napoli
- Steps in the Representation of Concept Lattices and Median Graphs 247-258
  Alain Gély, Miguel Couceiro, Laurent Miclet, Amedeo Napoli
- Shapley and Banzhaf Vectors of a Formal Concept 259-271
  Dmitry I. Ignatov, Léonard Kwuida
- Quantified Formal-Concept Operators 273-280
  M. Eugenia Cornejo, Juan Carlos Díaz-Moreno, Juan López-Rodríguez, Jesús Medina

### Papers with Short Presentation

- Comparison of Matrix Reordering Algorithms Based on Monotone Systems 281-286
  Grete Lind, Rein Kuusik
- Towards Stable Significant Subgroup Discovery 287-292
  Jyoti, Aleksey Buzmakov, Sriram Kailasam

2020-09-09: submitted by Francisco J. Valverde-Albacete and Martin Trnecka, metadata incl. bibliographic data published under Creative Commons CC0
2020-09-11: published on CEUR Workshop Proceedings (CEUR-WS.org, ISSN 1613-0073) |valid HTML5|