Factorization of Matrices With Grades With Overcovering

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73627222" target="_blank" >RIV/61989592:15310/24:73627222 - isvavai.cz</a>

Result on the web

<a href="https://obd.upol.cz/id_publ/333207109" target="_blank" >https://obd.upol.cz/id_publ/333207109</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TFUZZ.2023.3330760" target="_blank" >10.1109/TFUZZ.2023.3330760</a>

Result language

angličtina

Original language name

Factorization of Matrices With Grades With Overcovering

Original language description

We present a novel algorithm for factorization of matrices with grades or, equivalently, for decomposition of fuzzy relations. The algorithm is inspired by a recent factorization method for Boolean matrices and develops two ideas in the setting of ordinal attributes. First, it uses formal concepts associated with the factorized matrix, or fuzzy relation, as essential components around which factors are built. Second, it steps back when computing new factors to check whether some computed factors may be eliminated or improved given the subsequently generated factors. The new algorithm thus uses convenient properties of formal concepts utilized by previous factorization algorithms. Still, unlike the previous algorithms, our algorithm allows for more general and therefore more precise factorizations due to a possible overcovering of the input data, which our new algorithm admits. We provide an experimental evaluation of the new algorithm and compare it to some existing algorithms for factorization of data with grades. The evaluation reveals that our new algorithm outperforms the current algorithms in terms of quality of factorization. We also present observations and improvements for factorization of Boolean matrices. We conclude with a discussion regarding open research topics.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

IEEE TRANSACTIONS ON FUZZY SYSTEMS

ISSN

1063-6706

e-ISSN

1941-0034

Volume of the periodical

32

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

1641-1652

UT code for WoS article

001196731700051

EID of the result in the Scopus database

2-s2.0-85177037889