- -

A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics

Mostrar el registro completo del ítem

Gregori Gregori, V.; Miñana, J.; Miravet, D. (2020). A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics. Mathematics. 8(9):1-16. https://doi.org/10.3390/math8091575

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/172323

Ficheros en el ítem

Metadatos del ítem

Título: A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics
Autor: Gregori Gregori, Valentín Miñana, Juan-José Miravet, David
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X. In this paper, we adapt such a relationship to the fuzzy ...[+]
Palabras clave: Fuzzy quasi-metric , Fuzzy partial metric , Additive generator , Residuum operator , Archimedean t-norm
Derechos de uso: Reconocimiento (by)
Fuente:
Mathematics. (eissn: 2227-7390 )
DOI: 10.3390/math8091575
Editorial:
MDPI AG
Versión del editor: https://doi.org/10.3390/math8091575
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2017-86372-C3-3-R/ES/METODOS SENSORIALES PARA LA MANIPULACION SUBMARINA MULTI-ROBOT/
info:eu-repo/grantAgreement/EC/H2020/779776/EU/Robotics Technology for Inspection of Ships/
info:eu-repo/grantAgreement/EC/H2020/871260/EU/Autonomous Robotic Inspection and Maintenance on Ship Hulls and Storage Tanks/
info:eu-repo/grantAgreement/CAIB//PROCOE%2F4%2F2017/
AEI/PGC2018-095709-B-C21
Agradecimientos:
Juan-Jose Minana acknowledges financial support from FEDER/Ministerio de Ciencia, Innovacion y Universidades-Agencia Estatal de Investigacion/Proyecto PGC2018-095709-B-C21, and by Spanish Ministry of Economy and Competitiveness ...[+]
Tipo: Artículo

References

MATTHEWS, S. G. (1994). Partial Metric Topology. Annals of the New York Academy of Sciences, 728(1 General Topol), 183-197. doi:10.1111/j.1749-6632.1994.tb44144.x

George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces. Fuzzy Sets and Systems, 64(3), 395-399. doi:10.1016/0165-0114(94)90162-7

Roldán-López-de-Hierro, A.-F., Karapınar, E., & Manro, S. (2014). Some new fixed point theorems in fuzzy metric spaces. Journal of Intelligent & Fuzzy Systems, 27(5), 2257-2264. doi:10.3233/ifs-141189 [+]
MATTHEWS, S. G. (1994). Partial Metric Topology. Annals of the New York Academy of Sciences, 728(1 General Topol), 183-197. doi:10.1111/j.1749-6632.1994.tb44144.x

George, A., & Veeramani, P. (1994). On some results in fuzzy metric spaces. Fuzzy Sets and Systems, 64(3), 395-399. doi:10.1016/0165-0114(94)90162-7

Roldán-López-de-Hierro, A.-F., Karapınar, E., & Manro, S. (2014). Some new fixed point theorems in fuzzy metric spaces. Journal of Intelligent & Fuzzy Systems, 27(5), 2257-2264. doi:10.3233/ifs-141189

Gregori, V., & Miñana, J.-J. (2016). On fuzzy ψ -contractive sequences and fixed point theorems. Fuzzy Sets and Systems, 300, 93-101. doi:10.1016/j.fss.2015.12.010

Gregori, V., Miñana, J.-J., Morillas, S., & Sapena, A. (2016). Cauchyness and convergence in fuzzy metric spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 111(1), 25-37. doi:10.1007/s13398-015-0272-0

Gutiérrez García, J., Rodríguez-López, J., & Romaguera, S. (2018). On fuzzy uniformities induced by a fuzzy metric space. Fuzzy Sets and Systems, 330, 52-78. doi:10.1016/j.fss.2017.05.001

Beg, I., Gopal, D., Došenović, T., … Rakić, D. (2018). α-type fuzzy H-contractive mappings in fuzzy metric spaces. Fixed Point Theory, 19(2), 463-474. doi:10.24193/fpt-ro.2018.2.37

Gregori, V., Miñana, J.-J., & Miravet, D. (2018). Fuzzy partial metric spaces. International Journal of General Systems, 48(3), 260-279. doi:10.1080/03081079.2018.1552687

Zheng, D., & Wang, P. (2019). Meir–Keeler theorems in fuzzy metric spaces. Fuzzy Sets and Systems, 370, 120-128. doi:10.1016/j.fss.2018.08.014

Romaguera, S., & Tirado, P. (2020). Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results. Mathematics, 8(2), 273. doi:10.3390/math8020273

Wu, X., & Chen, G. (2020). Answering an open question in fuzzy metric spaces. Fuzzy Sets and Systems, 390, 188-191. doi:10.1016/j.fss.2019.12.006

Camarena, J.-G., Gregori, V., Morillas, S., & Sapena, A. (2008). Fast detection and removal of impulsive noise using peer groups and fuzzy metrics. Journal of Visual Communication and Image Representation, 19(1), 20-29. doi:10.1016/j.jvcir.2007.04.003

Camarena, J.-G., Gregori, V., Morillas, S., & Sapena, A. (2010). Two-step fuzzy logic-based method for impulse noise detection in colour images. Pattern Recognition Letters, 31(13), 1842-1849. doi:10.1016/j.patrec.2010.01.008

Gregori, V., Miñana, J.-J., & Morillas, S. (2012). Some questions in fuzzy metric spaces. Fuzzy Sets and Systems, 204, 71-85. doi:10.1016/j.fss.2011.12.008

Morillas, S., Gregori, V., Peris-Fajarnés, G., & Latorre, P. (2005). A fast impulsive noise color image filter using fuzzy metrics. Real-Time Imaging, 11(5-6), 417-428. doi:10.1016/j.rti.2005.06.007

Gregori, V., & Romaguera, S. (2004). Fuzzy quasi-metric spaces. Applied General Topology, 5(1), 129. doi:10.4995/agt.2004.2001

Park, J. H. (2004). Intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals, 22(5), 1039-1046. doi:10.1016/j.chaos.2004.02.051

Rodrı́guez-López, J., & Romaguera, S. (2004). The Hausdorff fuzzy metric on compact sets. Fuzzy Sets and Systems, 147(2), 273-283. doi:10.1016/j.fss.2003.09.007

Schweizer, B., & Sklar, A. (1960). Statistical metric spaces. Pacific Journal of Mathematics, 10(1), 313-334. doi:10.2140/pjm.1960.10.313

Sapena Piera, A. (2001). A contribution to the study of fuzzy metric spaces. Applied General Topology, 2(1), 63. doi:10.4995/agt.2001.3016

Miñana, J.-J., & Valero, O. (2020). On Matthews’ Relationship Between Quasi-Metrics and Partial Metrics: An Aggregation Perspective. Results in Mathematics, 75(2). doi:10.1007/s00025-020-1173-x

Karapınar, E., Erhan, İ. M., & Öztürk, A. (2013). Fixed point theorems on quasi-partial metric spaces. Mathematical and Computer Modelling, 57(9-10), 2442-2448. doi:10.1016/j.mcm.2012.06.036

Künzi, H.-P. A., Pajoohesh, H., & Schellekens, M. P. (2006). Partial quasi-metrics. Theoretical Computer Science, 365(3), 237-246. doi:10.1016/j.tcs.2006.07.050

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem