New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19
Shio Gai Quek, Ganeshsree Selvachandran, D. Ajay, P. Chellamani, David Taniar, Hamido Fujita, Phet Duong, Le Hoang Son, Nguyen Long Giang
Department of Software Systems & Cybersecurity
Pentapartitioned neutrosophic sets are a generalization of the single-valued and quadri-partitioned single-valued neutrosophic sets, and utilizes five symbol-valued neutrosophic logic. In this paper, we introduce some novel concepts regarding pentapartitioned neutrosophic graphs (PPNGs), and emphasize the effectiveness at interpreting extremely heterogeneous data that are prevalent in our daily life, particularly data gathered from various different sources which are becoming increasingly common place in the current times. The applicability of the proposed PPNG is demonstrated by applying the PPNGs on a potential real-life scenario on responding to the spread of COVID-19, where PPNGs are used to determine the safest path of travel and the safest place to stay to minimize the chances of getting infected. Both of this information have proven to be vital aspects in the efforts to combat the spread of the COVID-19 pandemic while providing the necessary support to the domestic economies, most of which are currently in recession due to the adverse effects brought upon by the pandemic. Hence, the PPNGs are applicable to all countries around the world and can be used under any circumstances such as pandemics or even in regular situations to optimize the travelling time and distance.
Computational and Applied Mathematics
Published - 21 Apr 2022
Fuzzy graph
Fuzzy set
Neutrosophic graph
Neutrosophic set
Pentapartitioned neutrosophic graphs
Pentapartitioned neutrosophic set
Safest path to travel
Quek, S. G., Selvachandran, G., Ajay, D., Chellamani, P., Taniar, D., Fujita, H., Duong, P., Son, L. H., & Giang, N. L. (2022). New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19. Computational and Applied Mathematics, 41(4), [151]. https://doi.org/10.1007/s40314-022-01823-4
Quek, Shio Gai ; Selvachandran, Ganeshsree ; Ajay, D. et al. / New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19. In: Computational and Applied Mathematics. 2022 ; Vol. 41, No. 4.
@article{865f448e23d94f849fbe4c79d0be3c06,
title = "New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19",
abstract = "Pentapartitioned neutrosophic sets are a generalization of the single-valued and quadri-partitioned single-valued neutrosophic sets, and utilizes five symbol-valued neutrosophic logic. In this paper, we introduce some novel concepts regarding pentapartitioned neutrosophic graphs (PPNGs), and emphasize the effectiveness at interpreting extremely heterogeneous data that are prevalent in our daily life, particularly data gathered from various different sources which are becoming increasingly common place in the current times. The applicability of the proposed PPNG is demonstrated by applying the PPNGs on a potential real-life scenario on responding to the spread of COVID-19, where PPNGs are used to determine the safest path of travel and the safest place to stay to minimize the chances of getting infected. Both of this information have proven to be vital aspects in the efforts to combat the spread of the COVID-19 pandemic while providing the necessary support to the domestic economies, most of which are currently in recession due to the adverse effects brought upon by the pandemic. Hence, the PPNGs are applicable to all countries around the world and can be used under any circumstances such as pandemics or even in regular situations to optimize the travelling time and distance.",
keywords = "COVID-19, Fuzzy graph, Fuzzy set, Neutrosophic graph, Neutrosophic set, Pentapartitioned neutrosophic graphs, Pentapartitioned neutrosophic set, Safest path to travel",
author = "Quek, {Shio Gai} and Ganeshsree Selvachandran and D. Ajay and P. Chellamani and David Taniar and Hamido Fujita and Phet Duong and Son, {Le Hoang} and Giang, {Nguyen Long}",
note = "Funding Information: The author Ganeshsree Selvachandran would like to acknowledge the Ministry of Education, Malaysia for funding this research under grant no. FRGS/1/2020/STG06/UCSI/02/1. Publisher Copyright: {\textcopyright} 2022, The Author(s) under exclusive licence to Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional.",
journal = "Computational and Applied Mathematics",
Quek, SG, Selvachandran, G, Ajay, D, Chellamani, P, Taniar, D, Fujita, H, Duong, P, Son, LH & Giang, NL 2022, 'New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19', Computational and Applied Mathematics, vol. 41, no. 4, 151. https://doi.org/10.1007/s40314-022-01823-4
New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19. / Quek, Shio Gai; Selvachandran, Ganeshsree; Ajay, D. et al.
In: Computational and Applied Mathematics, Vol. 41, No. 4, 151, 21.04.2022.
T1 - New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19
AU - Quek, Shio Gai
AU - Selvachandran, Ganeshsree
AU - Ajay, D.
AU - Chellamani, P.
AU - Taniar, David
AU - Fujita, Hamido
AU - Duong, Phet
AU - Son, Le Hoang
AU - Giang, Nguyen Long
N1 - Funding Information: The author Ganeshsree Selvachandran would like to acknowledge the Ministry of Education, Malaysia for funding this research under grant no. FRGS/1/2020/STG06/UCSI/02/1. Publisher Copyright: © 2022, The Author(s) under exclusive licence to Sociedade Brasileira de Matemática Aplicada e Computacional.
N2 - Pentapartitioned neutrosophic sets are a generalization of the single-valued and quadri-partitioned single-valued neutrosophic sets, and utilizes five symbol-valued neutrosophic logic. In this paper, we introduce some novel concepts regarding pentapartitioned neutrosophic graphs (PPNGs), and emphasize the effectiveness at interpreting extremely heterogeneous data that are prevalent in our daily life, particularly data gathered from various different sources which are becoming increasingly common place in the current times. The applicability of the proposed PPNG is demonstrated by applying the PPNGs on a potential real-life scenario on responding to the spread of COVID-19, where PPNGs are used to determine the safest path of travel and the safest place to stay to minimize the chances of getting infected. Both of this information have proven to be vital aspects in the efforts to combat the spread of the COVID-19 pandemic while providing the necessary support to the domestic economies, most of which are currently in recession due to the adverse effects brought upon by the pandemic. Hence, the PPNGs are applicable to all countries around the world and can be used under any circumstances such as pandemics or even in regular situations to optimize the travelling time and distance.
AB - Pentapartitioned neutrosophic sets are a generalization of the single-valued and quadri-partitioned single-valued neutrosophic sets, and utilizes five symbol-valued neutrosophic logic. In this paper, we introduce some novel concepts regarding pentapartitioned neutrosophic graphs (PPNGs), and emphasize the effectiveness at interpreting extremely heterogeneous data that are prevalent in our daily life, particularly data gathered from various different sources which are becoming increasingly common place in the current times. The applicability of the proposed PPNG is demonstrated by applying the PPNGs on a potential real-life scenario on responding to the spread of COVID-19, where PPNGs are used to determine the safest path of travel and the safest place to stay to minimize the chances of getting infected. Both of this information have proven to be vital aspects in the efforts to combat the spread of the COVID-19 pandemic while providing the necessary support to the domestic economies, most of which are currently in recession due to the adverse effects brought upon by the pandemic. Hence, the PPNGs are applicable to all countries around the world and can be used under any circumstances such as pandemics or even in regular situations to optimize the travelling time and distance.
KW - Fuzzy graph
KW - Fuzzy set
KW - Neutrosophic graph
KW - Neutrosophic set
KW - Pentapartitioned neutrosophic graphs
KW - Pentapartitioned neutrosophic set
KW - Safest path to travel
JO - Computational and Applied Mathematics
JF - Computational and Applied Mathematics
Quek SG, Selvachandran G, Ajay D, Chellamani P, Taniar D, Fujita H et al. New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19. Computational and Applied Mathematics. 2022 Apr 21;41(4). 151. https://doi.org/10.1007/s40314-022-01823-4