Foundations of neutrosophic convex structures
In this paper an idea of neutrosophic convex structures (briefly, NC-structures) is given and some of their properties are explored. Also, NC-sets, neutrosophic concave sets and neutrosophic convex hull are defined and their properties are investigated. Moreover, the notions of NC-derived operator a...
- Autores:
-
Sanabria, José
Rosas, Ennis
Aponte, Elvis
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2024
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/14073
- Acceso en línea:
- https://hdl.handle.net/11323/14073
https://repositorio.cuc.edu.co/
- Palabra clave:
- Neutrosophic set
NC-space
Neutrosophic hull operator
NC-derived operator
NC-base
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
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Foundations of neutrosophic convex structures |
| title |
Foundations of neutrosophic convex structures |
| spellingShingle |
Foundations of neutrosophic convex structures Neutrosophic set NC-space Neutrosophic hull operator NC-derived operator NC-base |
| title_short |
Foundations of neutrosophic convex structures |
| title_full |
Foundations of neutrosophic convex structures |
| title_fullStr |
Foundations of neutrosophic convex structures |
| title_full_unstemmed |
Foundations of neutrosophic convex structures |
| title_sort |
Foundations of neutrosophic convex structures |
| dc.creator.fl_str_mv |
Sanabria, José Rosas, Ennis Aponte, Elvis |
| dc.contributor.author.none.fl_str_mv |
Sanabria, José Rosas, Ennis Aponte, Elvis |
| dc.subject.proposal.eng.fl_str_mv |
Neutrosophic set NC-space Neutrosophic hull operator NC-derived operator NC-base |
| topic |
Neutrosophic set NC-space Neutrosophic hull operator NC-derived operator NC-base |
| description |
In this paper an idea of neutrosophic convex structures (briefly, NC-structures) is given and some of their properties are explored. Also, NC-sets, neutrosophic concave sets and neutrosophic convex hull are defined and their properties are investigated. Moreover, the notions of NC-derived operator and NC-base are studied and their relationship to NC-structures are established. |
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2024 |
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2024 |
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2025-04-04T14:44:55Z |
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Sanabria, J. Rosas, E. Aponte, E. (2024). Foundations of neutrosophic convex structures. International Journal of Neutrosophic Science, (), 163-175. DOI: https://doi.org/10.54216/IJNS.240214 |
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2692-6148 |
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https://hdl.handle.net/11323/14073 |
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10.54216/IJNS.240214 |
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2690-6805 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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Sanabria, J. Rosas, E. Aponte, E. (2024). Foundations of neutrosophic convex structures. International Journal of Neutrosophic Science, (), 163-175. DOI: https://doi.org/10.54216/IJNS.240214 2692-6148 10.54216/IJNS.240214 2690-6805 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/14073 https://repositorio.cuc.edu.co/ |
| dc.language.iso.none.fl_str_mv |
eng |
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eng |
| dc.relation.ispartofjournal.none.fl_str_mv |
International Journal of Neutrosophic Science |
| dc.relation.references.none.fl_str_mv |
A.Q. Ansari, R. Biswas, S. Aggarwal, Proposal for applicability of neutrosophic set theory in medical AI, International Journal of Computer Applications 27 (2011), 5–11 I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala, On some new notations and functions in neutrosophic topological spaces, Neutrosophic Sets and Systems 16 (2017), 16-19 M. Arora, R. Biswas, U.S. Pandey, Neutrosophic relational database decomposition, International Journal of Advanced Computer Science and Applications 2 (2011), 121-125 H.D. Cheng, Y. Guo, A new neutrosophic approach to image thresholding, New Mathematics and Natural Computation 4 (2008), 291-308 F. Chen, C. Shen, Characterizations of convex spaces and anti-matroids via derived operators, Open Mathematics 17(1) (2019), 331-342 S. Das, R. Das, S. Pramanik, Neutrosophic separation axioms, Neutrosophic Sets and Systems 49 (2022), 103-110 Y. Guo, H.D. Cheng, New neutrosophic approach to image segmentation, Pattern Recognition 42 (2009), 587-595 S. Karatas, C. Kuru, Neutrosophic topology, Neutrosophic Sets and Systems 13 (2016), 90-95 A. Kharal, A neutrosophic multicriteria decision making method, New Mathematics and Natural Computation 10 (2014), 143-162 G.C. Ray, S. Dey, Relation of quasi-coincidence for neutrosophic sets, Neutrosophic Sets and Systems 46 (2021), 402-415 A.A. Salama, S.A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Mathematics 3 (2012), 31-35 F. Smarandache, A unifying field in logics. Neutrosophy: Neutrosophic probability, set and logic, American Research Press: Rehoboth, USA, 1999 F. Smarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics 24 (2005), 287-297 F. Smarandache, Foundation of revolutionary topologies: An overview, examples, trend analysis, research issues, challenges, and future directions, Neutrosophic Systems with Applications 13 (2024), 45- 66 V.P. Soltan, d-convexity in graphs, Soviet Mathematics Doklady 28(2) (1983), 419-421 M. Van de Vel, Binary convexities and distributive lattices, Proceedings of the London Mathematical Society, s3-48 (1984), 1-33 M. Van de Vel, Theory of convex structures, North-Holland Mathematical Library: Amsterdan, The Netherlands, 1993 J. Van Mill, Supercompactness and Wallman Spaces, Mathematisch Centrum: Amsterdam, The Netherlands, 1997 M. Zhang, L. Zhang, H.D. Cheng, A neutrosophic approach to image segmentation based on watershed method, Signal Processing 90(5) (2010), 1510-1517 |
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Atribución 4.0 Internacional (CC BY 4.0) |
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https://creativecommons.org/licenses/by/4.0/ |
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American Scientific Publishing Group (ASPG) |
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United States |
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American Scientific Publishing Group (ASPG) |
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Atribución 4.0 Internacional (CC BY 4.0)https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Sanabria, JoséRosas, Ennisvirtual::952-1Aponte, Elvis2025-04-04T14:44:55Z2025-04-04T14:44:55Z2024Sanabria, J. Rosas, E. Aponte, E. (2024). Foundations of neutrosophic convex structures. International Journal of Neutrosophic Science, (), 163-175. DOI: https://doi.org/10.54216/IJNS.2402142692-6148https://hdl.handle.net/11323/1407310.54216/IJNS.2402142690-6805Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/In this paper an idea of neutrosophic convex structures (briefly, NC-structures) is given and some of their properties are explored. Also, NC-sets, neutrosophic concave sets and neutrosophic convex hull are defined and their properties are investigated. Moreover, the notions of NC-derived operator and NC-base are studied and their relationship to NC-structures are established.13 páginasapplication/pdfengAmerican Scientific Publishing Group (ASPG)United Stateshttps://www.americaspg.com/articleinfo/21/show/2751#Foundations of neutrosophic convex structuresArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85International Journal of Neutrosophic ScienceA.Q. Ansari, R. Biswas, S. Aggarwal, Proposal for applicability of neutrosophic set theory in medical AI, International Journal of Computer Applications 27 (2011), 5–11I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala, On some new notations and functions in neutrosophic topological spaces, Neutrosophic Sets and Systems 16 (2017), 16-19M. Arora, R. Biswas, U.S. Pandey, Neutrosophic relational database decomposition, International Journal of Advanced Computer Science and Applications 2 (2011), 121-125H.D. Cheng, Y. Guo, A new neutrosophic approach to image thresholding, New Mathematics and Natural Computation 4 (2008), 291-308F. Chen, C. Shen, Characterizations of convex spaces and anti-matroids via derived operators, Open Mathematics 17(1) (2019), 331-342S. Das, R. Das, S. Pramanik, Neutrosophic separation axioms, Neutrosophic Sets and Systems 49 (2022), 103-110Y. Guo, H.D. Cheng, New neutrosophic approach to image segmentation, Pattern Recognition 42 (2009), 587-595S. Karatas, C. Kuru, Neutrosophic topology, Neutrosophic Sets and Systems 13 (2016), 90-95A. Kharal, A neutrosophic multicriteria decision making method, New Mathematics and Natural Computation 10 (2014), 143-162G.C. Ray, S. Dey, Relation of quasi-coincidence for neutrosophic sets, Neutrosophic Sets and Systems 46 (2021), 402-415A.A. Salama, S.A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Mathematics 3 (2012), 31-35F. Smarandache, A unifying field in logics. Neutrosophy: Neutrosophic probability, set and logic, American Research Press: Rehoboth, USA, 1999F. Smarandache, Neutrosophic set, a generalization of the intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics 24 (2005), 287-297F. Smarandache, Foundation of revolutionary topologies: An overview, examples, trend analysis, research issues, challenges, and future directions, Neutrosophic Systems with Applications 13 (2024), 45- 66V.P. Soltan, d-convexity in graphs, Soviet Mathematics Doklady 28(2) (1983), 419-421M. Van de Vel, Binary convexities and distributive lattices, Proceedings of the London Mathematical Society, s3-48 (1984), 1-33M. Van de Vel, Theory of convex structures, North-Holland Mathematical Library: Amsterdan, The Netherlands, 1993J. Van Mill, Supercompactness and Wallman Spaces, Mathematisch Centrum: Amsterdam, The Netherlands, 1997M. Zhang, L. Zhang, H.D. 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 públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.</li>
      <li>
        Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:
        <ol type="i">
          <li>Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.</li>
          <li>Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.</li>
        </ol>
      </li>
      <li>Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.</li>
    </ol>
  </li>
  <br/>
  <li>
    Representaciones, Garantías y Limitaciones de Responsabilidad.
    <p>A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.</p>
  </li>
  <br/>
  <li>
    Limitación de responsabilidad.
    <p>A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.</p>
  </li>
  <br/>
  <li>
    Término.
    <ol type="a">
      <li>Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.</li>
      <li>Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.</li>
    </ol>
  </li>
  <br/>
  <li>
    Varios.
    <ol type="a">
      <li>Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.</li>
      <li>Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.</li>
      <li>Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.</li>
      <li>Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.</li>
    </ol>
  </li>
  <br/>
</ol>
 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