Distance in plithogenic product fuzzy graphs

• Bharathi, T. ^[1] ; Leo, S. ^[1]
  1. [1] University of Madras

     University of Madras

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 6, 2023, págs. 1521-1536
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5556
• Enlaces
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• Resumen

  • The notions of distance and central concepts are crucial in any fuzzy network. In this study, we newly introduce Plithogenic μ-distance and Plithogenic geodesic distance in Plithogenic product fuzzy graphs (PPFGs), which are multi-attribute graphical representations. Using these metrics, central concepts such as eccentricity, radius, diameter, Plithogenic μ-centre and Plithogenic geodesic centre in PPFGs are newly discussed. An investigation is also made to study the relation between these concepts with an application in traffic management.

     

• Referencias bibliográficas
  • T. Bharathi and S. Leo, “A Study on Plithogenic Product Fuzzy Graphs with Application in Social network”, Indian Journal of Science and Technology,...
  • K. R. Bhutani, and A. Rosenfeld, “Geodesies in fuzzy graphs”, Electronic Notes in Discrete Mathematics, vol. 15, no. 1, pp. 49-52, 2003.
  • J. Cheng, W. Wu, J. Cao and K. Li, “Fuzzy group-based intersection control via vehicular networks for smart transportations”, IEEE Transactions...
  • R. Ghebleh, “A comparative classification of information dissemination approaches in vehicular ad hoc networks from distinctive viewpoints:...
  • X. Y. Guo and W. T. Xiong, “Classification of the Road Network Vulnerability Based on Fuzzy Clustering Method”, Advanced Materials Research,...
  • W. V. Kandasamy K. Ilanthenral and F. Smarandache, Plithogenic Graphs, 1, Infinite Study. Bruxelles: EuropaNova ASBL, 2020.
  • A. Mohanty and S. Mahapatra and U. Bhanja, “Traffic congestion detection in a city using clustering techniques in VANETs”, Indonesian Journal...
  • A. Rosenfeld, “Fuzzy graphs”, Fuzzy Sets and their Applications, 1975. https://doi.org/10.1016/B978-0-12-775260-0.50008-6
  • S. Kalathodi and M. S. Sunitha, Distance in Fuzzy Graphs, 1, Lap Lambert Academic Publishing. KG, Saarbrucken, 2012
  • F. Smarandache, “Introduction to Plithogenic Logic as generalization of MultiVariate Logic”, Neutrosophic Sets and Systems, vol. 45, no. 1,...
  • F. Smarandache, Plithogeny, plithogenic set, logic, probability, and statistics, 2017. [On line]. Available: https://bit.ly/3sH7b7I
  • F. Smarandache, “Plithogenic Probability & Statistics are generalizations of MultiVariate”, Probability & Statistics, Neutrosophic...
  • S. H. Sumit, and S. Akhter, C-means clustering and deep-neuro-fuzzy classification for road weight measurement in traffic management system,...
  • M. P. Sunil and J. S. Kumar, “On Fuzzy Distance in Fuzzy Graph”, International Journal of Mathematics And its Applications, vol. 8, no. 1,...
  • M. S. Sunitha and S. Mathew, “Fuzzy graph theory: a survey”, Annals of Pure and Applied mathematics, vol. 4, no. 1, pp. 92-110, 2013.
  • J. Tang, F. Liu, Y. Zou, W. Zhang and Y. Wang, “An improved fuzzy neural network for traffic speed prediction considering periodic characteristic”,...
  • M. Tom and M. S. Sunitha, “Strong sum distance in fuzzy graphs”, SpringerPlus, vol. 4, no. 1, pp. 1-14, 2015.https://doi.org/10.1186/s40064-015-0935-5
  • M. Tom and M. S. Sunitha, “Sum distance in fuzzy graphs”, Annals of Pure and Applied Mathematics, vol. 7, no. 2, pp. 73-89, 2014.