A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region

Rough set theory, presented by Pawlak in 1981, is one of the most well-known methods for communicating ambiguity by estimating an item based on some knowledge rather than membership. The concept of a rough function and its convexity and differentiability in regard to its boundary region are discusse...

Descripción completa

Detalles Bibliográficos
Autores principales: Wahed Khalifa, Hamiden Abd El-, Pamucar, Dragan, Kacem, Amina Hadj, Afifi, W. A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8970921/
https://www.ncbi.nlm.nih.gov/pubmed/35371211
http://dx.doi.org/10.1155/2022/8662289
_version_ 1784679539061817344
author Wahed Khalifa, Hamiden Abd El-
Pamucar, Dragan
Kacem, Amina Hadj
Afifi, W. A.
author_facet Wahed Khalifa, Hamiden Abd El-
Pamucar, Dragan
Kacem, Amina Hadj
Afifi, W. A.
author_sort Wahed Khalifa, Hamiden Abd El-
collection PubMed
description Rough set theory, presented by Pawlak in 1981, is one of the most well-known methods for communicating ambiguity by estimating an item based on some knowledge rather than membership. The concept of a rough function and its convexity and differentiability in regard to its boundary region are discussed in this work. The boundary notion is also used to present a new form of rough programming issue and its solutions. Finally, numerical examples are provided to demonstrate the proposed method and emphasize its advantages over other approaches.
format Online
Article
Text
id pubmed-8970921
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Hindawi
record_format MEDLINE/PubMed
spelling pubmed-89709212022-04-01 A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region Wahed Khalifa, Hamiden Abd El- Pamucar, Dragan Kacem, Amina Hadj Afifi, W. A. Comput Intell Neurosci Research Article Rough set theory, presented by Pawlak in 1981, is one of the most well-known methods for communicating ambiguity by estimating an item based on some knowledge rather than membership. The concept of a rough function and its convexity and differentiability in regard to its boundary region are discussed in this work. The boundary notion is also used to present a new form of rough programming issue and its solutions. Finally, numerical examples are provided to demonstrate the proposed method and emphasize its advantages over other approaches. Hindawi 2022-03-24 /pmc/articles/PMC8970921/ /pubmed/35371211 http://dx.doi.org/10.1155/2022/8662289 Text en Copyright © 2022 Hamiden Abd El- Wahed Khalifa et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wahed Khalifa, Hamiden Abd El-
Pamucar, Dragan
Kacem, Amina Hadj
Afifi, W. A.
A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region
title A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region
title_full A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region
title_fullStr A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region
title_full_unstemmed A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region
title_short A Novel Approach for Characterizing Solutions of Rough Optimization Problems Based on Boundary Region
title_sort novel approach for characterizing solutions of rough optimization problems based on boundary region
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8970921/
https://www.ncbi.nlm.nih.gov/pubmed/35371211
http://dx.doi.org/10.1155/2022/8662289
work_keys_str_mv AT wahedkhalifahamidenabdel anovelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT pamucardragan anovelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT kacemaminahadj anovelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT afifiwa anovelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT wahedkhalifahamidenabdel novelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT pamucardragan novelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT kacemaminahadj novelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion
AT afifiwa novelapproachforcharacterizingsolutionsofroughoptimizationproblemsbasedonboundaryregion

Ejemplares similares