TOLERANCE PROBLEMS FOR GENERALIZED EIGENVECTORS OF INTERVAL FUZZY MATRICES

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F22%3A50020230" target="_blank" >RIV/62690094:18450/22:50020230 - isvavai.cz</a>

Result on the web

<a href="https://www.kybernetika.cz/content/2022/5/760/paper.pdf" target="_blank" >https://www.kybernetika.cz/content/2022/5/760/paper.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14736/kyb-2022-5-0760" target="_blank" >10.14736/kyb-2022-5-0760</a>

Result language

angličtina

Original language name

TOLERANCE PROBLEMS FOR GENERALIZED EIGENVECTORS OF INTERVAL FUZZY MATRICES

Original language description

Fuzzy algebra is a special type of algebraic structure in which classical addition and multiplication are replaced by maximum and minimum (denoted circle plus and circle times, respectively). The eigenproblem is the search for a vector x (an eigenvector) and a constant lambda (an eigenvalue) such that A circle times x = lambda circle times x, where A is a given matrix. This paper investigates a generalization of the eigenproblem in fuzzy algebra. We solve the equation A circle times x = lambda circle times B circle times x with given matrices A;B and unknown constant lambda and vector x. Generalized eigenvectors have interesting and useful properties in the various computational tasks with inexact (interval) matrix and vector inputs. This paper studies the properties of generalized interval eigenvectors of interval matrices. Three types of generalized interval eigenvectors: strongly tolerable generalized eigenvectors, tolerable generalized eigenvectors and weakly tolerable generalized eigenvectors are proposed and polynomial procedures for testing the obtained equivalent conditions are presented.

Czech name

—

Czech description

—

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

2022

Confidentiality

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

Name of the periodical

Kybernetika

ISSN

0023-5954

e-ISSN

—

Volume of the periodical

58

Issue of the periodical within the volume

5

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

19

Pages from-to

760-778

UT code for WoS article

000920480300007

EID of the result in the Scopus database

—