Standard

Probabilistic formal concepts with negation. / Vityaev, E. E.; Martinovich, V. V.

Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers. ed. / Irina Virbitskaite; Andrei Voronkov; Irina Virbitskaite. Springer, 2015. p. 385-399 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8974).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Vityaev, EE & Martinovich, VV 2015, Probabilistic formal concepts with negation. in I Virbitskaite, A Voronkov & I Virbitskaite (eds), Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8974, Springer, pp. 385-399, 9th International Ershov Informatics Conference on Perspectives of System Informatics, PSI 2014, St. Petersburg, Russian Federation, 24.06.2014. https://doi.org/10.1007/978-3-662-46823-4_31

APA

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

Vancouver

Vityaev EE, Martinovich VV. Probabilistic formal concepts with negation. In Virbitskaite I, Voronkov A, Virbitskaite I, editors, Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers. Springer. 2015. p. 385-399. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-662-46823-4_31

Author

Vityaev, E. E. ; Martinovich, V. V. / Probabilistic formal concepts with negation. Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers. editor / Irina Virbitskaite ; Andrei Voronkov ; Irina Virbitskaite. Springer, 2015. pp. 385-399 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

BibTeX

@inproceedings{9a6188c45a8c4e33b41e3b63d670b15a,
title = "Probabilistic formal concepts with negation",
abstract = "The probabilistic generalization of formal concept analysis, as well as it{\textquoteright}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{\textquoteright}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.",
keywords = "Association rules, Data mining, Formal concept analysis, Noise, Probability",
author = "Vityaev, {E. E.} and Martinovich, {V. V.}",
year = "2015",
doi = "10.1007/978-3-662-46823-4_31",
language = "English",
isbn = "9783662468227",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "385--399",
editor = "Irina Virbitskaite and Andrei Voronkov and Irina Virbitskaite",
booktitle = "Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers",
address = "United States",
note = "9th International Ershov Informatics Conference on Perspectives of System Informatics, PSI 2014 ; Conference date: 24-06-2014 Through 27-06-2014",

}

RIS

TY - GEN

T1 - Probabilistic formal concepts with negation

AU - Vityaev, E. E.

AU - Martinovich, V. V.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Association rules

KW - Data mining

KW - Formal concept analysis

KW - Noise

KW - Probability

UR - http://www.scopus.com/inward/record.url?scp=84942543651&partnerID=8YFLogxK

U2 - 10.1007/978-3-662-46823-4_31

DO - 10.1007/978-3-662-46823-4_31

M3 - Conference contribution

AN - SCOPUS:84942543651

SN - 9783662468227

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 385

EP - 399

BT - Perspectives of System Informatics - 9th International Ershov Informatics Conference, PSI 2014, Revised Selected Papers

A2 - Virbitskaite, Irina

A2 - Voronkov, Andrei

A2 - Virbitskaite, Irina

PB - Springer

T2 - 9th International Ershov Informatics Conference on Perspectives of System Informatics, PSI 2014

Y2 - 24 June 2014 through 27 June 2014

ER -

ID: 25327916