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Quek SG, Selvachandran G, Ajay D, Chellamani P, Taniar D, Fujita H, Duong P, Son LH, Giang NL. New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19. COMPUTATIONAL AND APPLIED MATHEMATICS 2022; 41:151. [PMCID: PMC9022744 DOI: 10.1007/s40314-022-01823-4] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/03/2021] [Revised: 10/03/2021] [Accepted: 03/03/2022] [Indexed: 06/18/2023]
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.
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Affiliation(s)
- Shio Gai Quek
- Department of Actuarial Science and Applied Statistics, Faculty of Business and Management, UCSI University, Jalan Menara Gading, Cheras, 56000 Kuala Lumpur, Malaysia
| | - Ganeshsree Selvachandran
- Department of Actuarial Science and Applied Statistics, Faculty of Business and Management, UCSI University, Jalan Menara Gading, Cheras, 56000 Kuala Lumpur, Malaysia
| | - D. Ajay
- Department of Mathematics, Sacred Heart College (Autonomous), Tamil Nadu, Tirupattur, India
| | - P. Chellamani
- Department of Mathematics, Sacred Heart College (Autonomous), Tamil Nadu, Tirupattur, India
| | - David Taniar
- Faculty of Information Technology, Monash University, Wellington Rd, Clayton, VIC 3800 Australia
| | - Hamido Fujita
- Chairman of Intelligent Software Methodologies and Technologies Incorporated Association, (i-SOMET Inc), Morioka, 020-0104 Japan
- Regional Research Center, Iwate Prefectural University, Iwate, Japan
| | - Phet Duong
- Faculty of Information Technology, HUTECH University, Ho Chi Minh City, Vietnam
| | - Le Hoang Son
- VNU Information Technology Institute, Vietnam National University, Hanoi, Vietnam
| | - Nguyen Long Giang
- Institute of Information Technology, Vietnam Academy of Science and Technology, Hanoi, Vietnam
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Akram M, Ahmad U, Rukhsar. Threshold graphs under picture Dombi fuzzy information. GRANULAR COMPUTING 2021. [DOI: 10.1007/s41066-021-00291-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Akram M, Shahzadi G. Decision-making approach based on Pythagorean Dombi fuzzy soft graphs. GRANULAR COMPUTING 2020. [DOI: 10.1007/s41066-020-00224-4] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Akram M, Khan A. Complex Pythagorean Dombi fuzzy graphs for decision making. GRANULAR COMPUTING 2020. [DOI: 10.1007/s41066-020-00223-5] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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A Novel Decision-Making Approach under Complex Pythagorean Fuzzy Environment. MATHEMATICAL AND COMPUTATIONAL APPLICATIONS 2019. [DOI: 10.3390/mca24030073] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
A complex Pythagorean fuzzy set (CPFS) is an extension of a Pythagorean fuzzy set that is used to handle the vagueness with the degrees whose ranges are enlarged from real to complex subset with unit disc. In this research study, we propose the innovative concept of complex Pythagorean fuzzy graphs (CPFGs). Further, we present the concepts of regular and edge regular graphs in a complex Pythagorean fuzzy environment. Moreover, we develop a complex Pythagorean fuzzy graph based multi-attribute decision making an approach to handling the situations in which the graphic structure of attributes is obscure. A numerical example concerning information technology improvement project selection is utilized to illustrate the availability of the developed approach.
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