Preface to the Sixteenth International Conference on Concept Lattices and Their Applications, CLA 2022 Pablo Cordero1,∗ , Ondrej Kridlo2 1 Department of Applied Mathematics, University of Málaga, Málaga, Spain 2 Institute of Computer Science, Pavol Jozef Šafárik University in Košice, Slovakia Abstract This volume contains the papers presented at the Sixteenth International Conference on Concept Lattices and Their Applications, CLA 2022, including the satellite workshop entitled “Existing Tools and Applications for Formal Conceptual Analysis, ETAFCA’2022”. Preface The CLA conference is an international forum for researchers, practitioners and students dedicated to the practice of Formal Concept Analysis (FCA) and areas closely related to it, including data analysis and mining, information retrieval, knowledge management, knowledge engineering, logic, algebra and lattice theory. The 16𝑡ℎ of CLA, CLA 2022, was going to be held in Tallinn, Estonia organized by the Department of Software Science at Tallinn University of Technology, from June, 20𝑡ℎ , to June, 22𝑡ℎ , 2022. The program of the conference includes five keynote talks given by the following distinguished researchers: • Bernard De Baets, (Dept. of Data Analysis and Mathematical Modelling, Ghent University, Belgium) • Tarmo Uustalu (Dept. of Computer Science of Reykjavik University, Iceland) • John F. Sowa (Kyndi, Inc., San Mateo, CA, USA) • Peter Vojtáš (TCharles University, Prague, Czech Republic) • Boualem Benatallah (Dublin City University, Ireland) CLA 2022 received 20 submissions out of which 14 were accepted as full papers. Within the framework of CLA 2022, a satellite workshop entitled “Existing Tools and Applications for Formal Conceptual Analysis, ETAFCA’2022” has also been held to promote the different tools Published in Pablo Cordero, Ondrej Kridlo (Eds.): The 16𝑡ℎ International Conference on Concept Lattices and Their Applications, CLA 2022, Tallinn, Estonia, June 20–22, 2022, Proceedings, pp. 1–8. ∗ Corresponding author. Envelope-Open pcordero@uma.es (P. Cordero); ondrej.kridlo@upjs.sk (O. Kridlo) GLOBE https:http://webpersonal.uma.es/de/pcordero/My_personal_web/Wellcome.html/ (P. Cordero); https:https://www.upjs.sk/PF/zamestnanec/ondrej.kridlo/ (O. Kridlo) Orcid 0000-0002-5506-6467 (P. Cordero); 0000-0001-8166-6901 (O. Kridlo) © 2022 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0). CEUR Workshop Proceedings http://ceur-ws.org ISSN 1613-0073 CEUR Workshop Proceedings (CEUR-WS.org) and illustrate the use of formal conceptual analysis with examples of concrete datasets. This workshop was organized by Alexandre Bazin, Karell Bertet, Christophe Demko, Pierre Martin and Ants Torim, and, after peer review, six short papers have been accepted for ETAFCA’2022. This volume includes all of these contributions. This edition of CLA also includes a sponsored tutorial entitled “Managing and Linking Data with KG Using PP Semantic Suite” which was given by Albin Ahmeti and Artem Revenko, a tutorial entitled “FCA algorithms with the R package fcaR” by Domingo Lopez and Angel Mora, and another one entitled “Reduction of fuzzy contexts” by Jan Konecny. We would like to thank all authors and speakers for their extra effort to provide high quality contributions, and the program committee members and external reviewers for their careful and timely review of the submissions. We would also like to thank the CLA steering committee for the opportunity to contribute to the advancement of FCA and related areas. And a special thanks to the local committee. We are all indebted to you. We would like to thank our sponsors, namely Semantic Web Company and Tallinn University. Finally, we also do not forget that the conference was managed (quite easily) with the Easychair system, for many tasks including paper submission, selection, and reviewing. Organization CLA 2022 was organized by Tallinn University of Technology. Steering Committee Radim Belohlavek Palacký University Olomouc, Czech Republic Sadok Ben Yahia Tallinn University of Technology, Estonia Jean Diatta Université de la Réunion, France Peter Eklund IT University of Copenhagen, Denmark Sergei O. Kuznetsov National Research University Higher School of Eco- nomics, Moscow, Russia Engelbert Mephu Nguifo LIMOS, CNRS UMR 6158, University Blaise Pascal, Clermont-Ferrand, France Amedeo Napoli INRIA NGE/LORIA, Nancy, France Manuel Ojeda-Aciego Universidad de Málaga, Spain Jan Outrata Palacký University Olomouc, Czech Republic Program Chairs Pablo Cordero Universidad de Malaga, Spain Ondrej Kridlo Pavol Jozef Šafárik University in Košice, Slovakia Program Committee Cristina Alcalde Universidad Del Pais Vasco, UPV/EHU, Spain Simon Andrews Sheffield Hallam University, United Kingdom Lubomir Antoni Pavol Jozef Šafárik University in Košice, Slovakia Gabriela Arevalo Facultad de Ingenieria - Universidad Austral, Ar- gentina Jaume Baixeries Ciències de la Computació, Catalonia, Spain Alexandre Bazin Université de Lorraine, France Sadok Ben Yahia Tallinn University of Technology, Estonia Radim Belohlavek Palacký University, Olomouc, Czech Republic Karell Bertet Laboratory L3I, University of La Rochelle, France François Brucker Ecole Centrale Marseille, France Ana Burusco Universidad Publica De Navarra, Spain Aleksey Buzmakov INRIA-LORIA (CNRS-Université de Lorraine), Nancy, France Peggy Cellier IRISA/INSA Rennes, France Pablo Cordero Universidad de Málaga, Spain M. Eugenia Cornejo University of Cadiz, Spain Jean Diatta Université de la Réunion, France Stephan Doerfel University of Kassel, Germany Xavier Dolques ICube, Université de Strasbourg/ENGEES, Stras- bourg, France Florent Domenach Akita International University, Japan Manuel Enciso University of Malaga, Spain Sebastien Ferre Universite de Rennes 1, France Alain Gély LITA, Université Lorraine, Metz, France Robert Godin Université du Québec à Montréal, Canada Dmitry Ignatov National Research University Higher School of Eco- nomics, Russia Mehdi Kaytoue LIRIS - INSA de Lyon, France Stanislav Krajci P. J. Safarik University, Slovak Republic Ondrej Kridlo Pavol Jozef Šafárik University in Košice, Slovakia Francesco Kriegel Technische Universität Dresden, Germany Jan Konecny Palacký University, Olomouc, Czech Republic Michal Krupka Palacký University, Olomouc, Czech Republic Marzena Kryszkiewicz Warsaw University of Technology, Poland Leonard Kwuida Bern University of Applied Sciences, Switzerland Florence Le Ber ICube, Université de Strasbourg/ENGEES, Stras- bourg, France Rokia Missaoui Université du Québec en Outaouais, LARIM, Canada Jesús Medina Moreno University of Cádiz, Spain Engelbert Mephu Nguifo LIMOS – Blaise Pascal University – CNRS, France Angel Mora University of Malaga, Spain Amedeo Napoli LORIA Nancy, France Sergei Obiedkov National Research University Higher School of Eco- nomics, Russia Manuel Ojeda-Aciego Dept. of Applied Mathematics, University of Malaga, Spain Jan Outrata Palacký University, Olomouc, Czech Republic Jean-Marc Petit Université de Lyon, INSA Lyon, France Uta Priss Ostfalia University, Germany Olivier Raynaud LIMOS – Blaise Pascal University – CNRS, France Sándor Radeleczki Department of Analysis, University of Miskolc, Hun- gary François Rioult GREYC CNRS UMR6072 – Université de Caen, France Sebastian Rudolph Technische Universität Dresden, Germany Christian Sacarea Babes-Bolyai University, Romania Barış Sertkaya Frankfurt University of Applied Sciences, Germany Gerd Stumme University of Kassel, Germany Laszlo Szathmary University of Debrecen, Hungary Andreja Tepavcevic University of Novi Sad, Serbia Petko Valtchev Université du Québec À Montréal, Canada Francisco J. Valverde-Albacete Universidad Rey Juan Carlos, Madrid, Spain Bruce Watson Stellenbosch University, South Africa Yiyu Yao University of Regina, Canada Additional Reviewers Francisco-José Ocaña-Alcázar University of Cádiz, Spain José-Ra. Portillo University of Cádiz, Spain Organization Committee Sadok Ben Yahia (Chair) Tallinn University of Technology, Estonia Monika Perkmann (co-chair) Tallinn University of Technology, Estonia Plenary talks Putting order into the ordering of random variables Bernard De Baets Department of Data Analysis and Mathematical Modelling. Ghent University, Belgium. Abstract: Decision making inevitably involves the comparison and ordering of real variables. In the presence of uncertainty, this entails the comparison of real-valued random variables. We briefly review three approaches to such comparison: 1. Stochastic dominance: an approach based on a pointwise comparison of cumulative distribution functions; 2. Statistical preference: an approach based on a pairwise comparison in terms of winning probabilities; 3. Probabilistic preference: an approach based on multivariate winning probabilities. Whereas the first and third approaches are intrinsically transitive, the second approach requires considerable mathematical effort to unveil the underlying transitivity properties. Moreover, the first approach ignores the possible dependence between the random variables and is based on univariate distribution functions, the second approach is by definition built on bivariate joint distribution functions, while the third approach is based on the overall joint distribution function. Monad-comonad interaction laws Tarmo Uustalu Dept. of Computer Science of Reykjavik University (Iceland) Abstract: This talk is not on formal concept analysis, but on a different new application of Chu sṕaces to computer science, specifically to programming language semantics. It is standard in this domain to use monads to model notions of computation that involve effects such as computation with input/output, manipulation of store, nondeterminism. An effectful computation cannot return a value on its own: it issues requests to the outside world and needs these responded to make progress. To run, it needs ot be paired with an environment that can service these requests. Such notions of environment are modelled with comonads. Protocols of communication between computations and environments admit mathematization by what we call monad-comonad interaction laws. Those are monoid objects in some category of Chu spaces. I will introduce and explain some basics about monad-comonad interaction laws. Automated and semi-automated tools for interoperable systems John F. Sowa Kyndi, Inc., San Mateo, CA, USA Abstract: In 2000, Tim Berners-Lee proposed a vision for the Semantic Web that was more ambitious than the tools delivered in 2005. Since then. better technology has been developed for artificial intelligence, natural language processing, and automated reasoning. But the complexity of the new tools is beyond the expertise of most programmers. Fortunately, the technology can also support automated and semi-automated methods that can simplify the interface for both programmers and end users. This talk surveys technology that can enable anybody at any level of expertise to use, control, and interact with computer systems. Galois-Tukey connections in experiments Peter Vojtáš Charles University, Prague, Czech Republic Abstract: We are motivated by the development from Galois-Tukey connections in set-theory via Question-Answer category in complexity to Challenge-Response reductions of real situations to models. We describe several experiments (use-case, data, prototype, metrics, evaluation, comparison) in computer science ranging from recommender systems to web semantization. We see this as learning of concepts of e.g., user preferred objects or automated tagging. AI Service Augmentation: Challenges and Directions Boualem Benatallah Dublin City University, Ireland Abstract: AI enabled augmentation promises to transform services through data-driven automation and insights. The entire service economy is rapidly shifting to AI enabled augmen- tation, embracing deep changes that are required for increased productivity and effectiveness. Nonetheless, despite the early adoption, AI augmented service technologies are still only in their preliminary stages of development, with several unsolved challenges stemming from lack of computational abstractions and models to reason about ambiguity and uncertainty that are inherent in data-driven processes. We will revisit abstractions, concepts, and techniques in data-driven service models and middleware. A key challenge also lies the synergy between hu- man and machine, crowd and AI – augmentation will seek to achieve bridging the gap between disparate systems and processes, and between human and machine We will discuss synergies between intent-based composition, composition synthesis, robotic process automation and other technologies as step forward to scale AI augmented services enablement. We will discuss quality control in training data and AI augmented services.