The tower matrix, an alternative to deal with distances and quasi-distances

Bibliographic Details
Main Author: Zhang, Yulin
Publication Date: 2019
Other Authors: Veloso da Costa, António, Simões-Pereira, J. M. S.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/63138
Summary: To any given n × n matrix D, associate a so-called tower matrix T with n × n rows and n columns. This matrix T deserves attention because it gives more information than D: in fact, the tower matrix exhibits, not only the shortest length of the paths from point p to point q, but also, for each third point k, the shortest length of the paths from p to q that pass through k. Interpretations of interest for business management and international commerce, for instance, emphasize the advantage of this supplementary information.
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spelling The tower matrix, an alternative to deal with distances and quasi-distancesDistancequasi-distancedistance matrixquasi-distance matrixtower matrixTower matrix. MR classification subject: 15B34Ciências Naturais::MatemáticasScience & TechnologyTo any given n × n matrix D, associate a so-called tower matrix T with n × n rows and n columns. This matrix T deserves attention because it gives more information than D: in fact, the tower matrix exhibits, not only the shortest length of the paths from point p to point q, but also, for each third point k, the shortest length of the paths from p to q that pass through k. Interpretations of interest for business management and international commerce, for instance, emphasize the advantage of this supplementary information.The Divine Cities Foundation; Fundação para a Ciência e Tecnologia; PortugueseFunds through FCT - Fundação para a Ciência e Tecnologia, within Project UID/MAT/00013/2013Old City PublishingUniversidade do MinhoZhang, YulinVeloso da Costa, AntónioSimões-Pereira, J. M. S.20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/63138engZhang, Y., Da Costa, A. V., & Simões-Pereira, J. M. S. (2019). The Tower Matrix, an Alternative to Deal with Distances and Quasi-distances. Journal of Multiple-Valued Logic & Soft Computing, 321542-39801542-3999https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-32-number-5-6-2019/mvlsc-32-5-6-p-449-454/info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T05:44:37Zoai:repositorium.sdum.uminho.pt:1822/63138Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:28:37.649333Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The tower matrix, an alternative to deal with distances and quasi-distances
title The tower matrix, an alternative to deal with distances and quasi-distances
spellingShingle The tower matrix, an alternative to deal with distances and quasi-distances
Zhang, Yulin
Distance
quasi-distance
distance matrix
quasi-distance matrix
tower matrix
Tower matrix. MR classification subject: 15B34
Ciências Naturais::Matemáticas
Science & Technology
title_short The tower matrix, an alternative to deal with distances and quasi-distances
title_full The tower matrix, an alternative to deal with distances and quasi-distances
title_fullStr The tower matrix, an alternative to deal with distances and quasi-distances
title_full_unstemmed The tower matrix, an alternative to deal with distances and quasi-distances
title_sort The tower matrix, an alternative to deal with distances and quasi-distances
author Zhang, Yulin
author_facet Zhang, Yulin
Veloso da Costa, António
Simões-Pereira, J. M. S.
author_role author
author2 Veloso da Costa, António
Simões-Pereira, J. M. S.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Zhang, Yulin
Veloso da Costa, António
Simões-Pereira, J. M. S.
dc.subject.por.fl_str_mv Distance
quasi-distance
distance matrix
quasi-distance matrix
tower matrix
Tower matrix. MR classification subject: 15B34
Ciências Naturais::Matemáticas
Science & Technology
topic Distance
quasi-distance
distance matrix
quasi-distance matrix
tower matrix
Tower matrix. MR classification subject: 15B34
Ciências Naturais::Matemáticas
Science & Technology
description To any given n × n matrix D, associate a so-called tower matrix T with n × n rows and n columns. This matrix T deserves attention because it gives more information than D: in fact, the tower matrix exhibits, not only the shortest length of the paths from point p to point q, but also, for each third point k, the shortest length of the paths from p to q that pass through k. Interpretations of interest for business management and international commerce, for instance, emphasize the advantage of this supplementary information.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/63138
url https://hdl.handle.net/1822/63138
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Zhang, Y., Da Costa, A. V., & Simões-Pereira, J. M. S. (2019). The Tower Matrix, an Alternative to Deal with Distances and Quasi-distances. Journal of Multiple-Valued Logic & Soft Computing, 32
1542-3980
1542-3999
https://www.oldcitypublishing.com/journals/mvlsc-home/mvlsc-issue-contents/mvlsc-volume-32-number-5-6-2019/mvlsc-32-5-6-p-449-454/
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Old City Publishing
publisher.none.fl_str_mv Old City Publishing
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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