Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications

This work investigates tolerance and control solutions to a two-sided interval linear system. Their semantics are different, even though, we would be able to interchange the role of the interval information algebraically. We present necessary and sufficient conditions of their solvabilities as the i...

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Autores principales: Leela-apiradee, Worrawate, Thipwiwatpotjana, Phantipa, Gorka, Artur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274739/
http://dx.doi.org/10.1007/978-3-030-50153-2_33
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author Leela-apiradee, Worrawate
Thipwiwatpotjana, Phantipa
Gorka, Artur
author_facet Leela-apiradee, Worrawate
Thipwiwatpotjana, Phantipa
Gorka, Artur
author_sort Leela-apiradee, Worrawate
collection PubMed
description This work investigates tolerance and control solutions to a two-sided interval linear system. Their semantics are different, even though, we would be able to interchange the role of the interval information algebraically. We present necessary and sufficient conditions of their solvabilities as the inequalities depending on center and radius of coefficient interval matrices on both sides of the system. In a situation when the vector of variables is nonnegative, the conditions can simply be modified as the inequalities depending on boundaries of the interval matrices. This result helps to find out the feasible solutions of a quadratic programming problem with two-sided interval linear equation constraints.
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spelling pubmed-72747392020-06-08 Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications Leela-apiradee, Worrawate Thipwiwatpotjana, Phantipa Gorka, Artur Information Processing and Management of Uncertainty in Knowledge-Based Systems Article This work investigates tolerance and control solutions to a two-sided interval linear system. Their semantics are different, even though, we would be able to interchange the role of the interval information algebraically. We present necessary and sufficient conditions of their solvabilities as the inequalities depending on center and radius of coefficient interval matrices on both sides of the system. In a situation when the vector of variables is nonnegative, the conditions can simply be modified as the inequalities depending on boundaries of the interval matrices. This result helps to find out the feasible solutions of a quadratic programming problem with two-sided interval linear equation constraints. 2020-05-16 /pmc/articles/PMC7274739/ http://dx.doi.org/10.1007/978-3-030-50153-2_33 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Leela-apiradee, Worrawate
Thipwiwatpotjana, Phantipa
Gorka, Artur
Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications
title Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications
title_full Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications
title_fullStr Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications
title_full_unstemmed Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications
title_short Tolerance and Control Solutions of Two-Sided Interval Linear System and Their Applications
title_sort tolerance and control solutions of two-sided interval linear system and their applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7274739/
http://dx.doi.org/10.1007/978-3-030-50153-2_33
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AT thipwiwatpotjanaphantipa toleranceandcontrolsolutionsoftwosidedintervallinearsystemandtheirapplications
AT gorkaartur toleranceandcontrolsolutionsoftwosidedintervallinearsystemandtheirapplications

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