New model metrics between relations of n-valued logic and uncertainty of automatic clustering of statements | Sciact - Система учета научной деятельности ИМ СО РАН

New model metrics between relations of n-valued logic and uncertainty of automatic clustering of statements Научная публикация

Журнал

Pattern Recognition and Image Analysis
ISSN: 1054-6618 , E-ISSN: 1555-6212

Вых. Данные

Год: 2017, Том: 27, Номер: 3, Страницы: 404-417 Страниц : 14 DOI: 10.1134/S1054661817030300

Ключевые слова

clustering of sets of logical statements of knowledge bases; distance between relations; Lukasevich logic; model theory; multivalued logic; truth on models; uncertainty measure

Авторы

Vikent’ev A.A. ^1,2

Организации

1	Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Ak. Koptyuga 4, Novosibirsk, Russian Federation
2	Novosibirsk State University, ul. Pirogova 2, Novosibrsk, Russian Federation

Statements that can be recorded by logical multivalued relations are studied. Using model theory, we introduce relations such that various logical values are taken into account most completely in the distances between relations of Lukasevich n-valued logic, introduce an uncertainty measure for statements, and formulate and prove theorems about the properties of these values. Using the introduced distances and uncertainty measures, we adapt known clustering algorithms for the clustering of sets of statements and use examples to examine results for various values of n. We study collective distances, which are the most effective in the sense of clustering indices and can be used to generate new distances for more powerful sets of statements. © 2017, Pleiades Publishing, Ltd.

Vikent’ev A.A.
New model metrics between relations of n-valued logic and uncertainty of automatic clustering of statements
Pattern Recognition and Image Analysis. 2017. V.27. N3. P.404-417. DOI: 10.1134/S1054661817030300 Scopus OpenAlex

Scopus:	2-s2.0-85029542254
OpenAlex:	W2755088133

БД	Цитирований
Scopus	1
OpenAlex	1