Probabilistic formal concepts with negation

E. E. Vityaev, V. V. Martinovich

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

6 Цитирования (Scopus)

Аннотация

The probabilistic generalization of formal concept analysis, as well as it’s comparison to standard formal analysis is presented. Construction is resistant to noise in the data and give one an opportunity to consider contexts with negation (object-attribute relation which allows both attribute presence and it’s absence). This generalization is obtained from the notion of formal concepts with its definition as fixed points of implications, when implications, possibly with negations, are replaced by probabilistic laws. We prove such fixed points (based on the probabilistic implications) to be consistent and wherefore determine correct probabilistic formal concepts. In the end, the demonstration for the probabilistic formal concepts formation is given together with noise resistance example.

Язык оригиналаанглийский
Название основной публикацииPerspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers
РедакторыIrina Virbitskaite, Andrei Voronkov, Irina Virbitskaite
ИздательSpringer-Verlag GmbH and Co. KG
Страницы385-399
Число страниц15
ISBN (печатное издание)9783662468227
DOI
СостояниеОпубликовано - 2015
Событие9th International Ershov Informatics Conference on Perspectives of System Informatics, PSI 2014 - St. Petersburg, Российская Федерация
Продолжительность: 24 июн 201427 июн 2014

Серия публикаций

НазваниеLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Том8974
ISSN (печатное издание)0302-9743
ISSN (электронное издание)1611-3349

Конференция

Конференция9th International Ershov Informatics Conference on Perspectives of System Informatics, PSI 2014
СтранаРоссийская Федерация
ГородSt. Petersburg
Период24.06.201427.06.2014

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  • Цитировать

    Vityaev, E. E., & Martinovich, V. V. (2015). Probabilistic formal concepts with negation. В I. Virbitskaite, A. Voronkov, & I. Virbitskaite (Ред.), Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers (стр. 385-399). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Том 8974). Springer-Verlag GmbH and Co. KG. https://doi.org/10.1007/978-3-662-46823-4_31