In book
Т. 1. , Смоленск: Универсум, 2016.
Ignatov D. I., , in: FCA4AI 2024: The 12th International Workshop "What can FCA do for Artificial Intelligence?", October 19 2024, Santiago de Compostela, SpainVol. 3911.: CEUR Workshop Proceedings, 2024. P. 27–38.
The paper formulates Zarankiewicz problem in terms of formal contexts as follows: What is z(m, n; s, t), the
largest size of the incidence relation of a formal context with m objects and n attributes, for which there is no a
formal concept with the given extent s and t intent sizes and larger? Exact formulas for ...
Added: January 23, 2026
Stepan L. Kuznetsov, , in: Logic, Language, Information, and Computation: 30th International Workshop, WoLLIC 2024, Bern, Switzerland, June 10–13, 2024, ProceedingsVol. 14672: Lecture Notes in Computer Science.: Cham: Springer, 2024. P. 93–107.
Added: June 12, 2024
Ignatov D. I., Kwuida L., Annals of Mathematics and Artificial Intelligence 2022 Vol. 90 No. 11 P. 1197–1222
We propose the usage of two power indices from cooperative game theory and public choice theory for ranking attributes of closed sets, namely intents of formal concepts (or closed itemsets). The introduced indices are related to extensional concept stability and are also based on counting of generators, especially of those that contain a selected attribute. ...
Added: January 31, 2023
Ignatov D. I., Kwuida L., , in: Ontologies and Concepts in Mind and Machine. 25th International Conference on Conceptual Structures, ICCS 2020.: Springer, 2020. P. 90–102.
Among the family of rule-based classification models, there are classifiers based on conjunctions of binary attributes. For example, the JSM-method of automatic reasoning (named after John Stuart Mill) was formulated as a classification technique in terms of intents of formal concepts as classification hypotheses. These JSM-hypotheses already represent an interpretable model since the respective conjunctions ...
Added: October 30, 2020
Kuznetsov S., Makhalova T., Napoli A., В кн.: Шестнадцатая национальная конференция по искусственному интеллекту с международным участием КИИ-2018 (24-27 сентября 2018 г., г. Москва, Россия). Труды конференции. В 2-х томах.Т. 1.: М.: РКП, 2018. С. 19–26.
Added: November 25, 2018