Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method

A banknote is a currency issued by a country, and it was first introduced in the 16th century. The counterfeiting of banknotes by cunning criminals became a great challenge with the current advanced technology. Forensic scientists are using chemical methods, such as Fourier transform infrared (FTIR)...

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Main Authors: Nurfarhana Hassan, Tahir Ahmad, Naji Arafat Mahat, Hasmerya Maarof, Mujahid Abdullahi, Nur Farah Dina Ajid, Zarith Sofia Jasmi, Foo Keat How
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/4/1002
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author Nurfarhana Hassan
Tahir Ahmad
Naji Arafat Mahat
Hasmerya Maarof
Mujahid Abdullahi
Nur Farah Dina Ajid
Zarith Sofia Jasmi
Foo Keat How
author_facet Nurfarhana Hassan
Tahir Ahmad
Naji Arafat Mahat
Hasmerya Maarof
Mujahid Abdullahi
Nur Farah Dina Ajid
Zarith Sofia Jasmi
Foo Keat How
author_sort Nurfarhana Hassan
collection DOAJ
description A banknote is a currency issued by a country, and it was first introduced in the 16th century. The counterfeiting of banknotes by cunning criminals became a great challenge with the current advanced technology. Forensic scientists are using chemical methods, such as Fourier transform infrared (FTIR) spectroscopy for differentiating genuine and counterfeit banknotes. However, the FTIR spectra of banknotes may require further pattern recognition analysis due to their high similarities. In this paper, a fuzzy graph-based algorithm for authentication of the FTIR spectrum, namely chemometrics fuzzy autocatalytic set (c-FACS), is used to discriminate between genuine and counterfeit hundred Ringgit Malaysian (RM100) banknotes. The results show that the genuine and counterfeit RM100 banknotes have slightly distinct patterns when analyzed using c-FACS. In addition, the results are compared with RM50 banknotes, and the results reveal that the nodes or dominant axis varies between the two banknotes. To verify the reliability of the results, the results obtained via c-FACS are compared with principal component analysis (PCA). The c-FACS showed better performances as compared to PCA in terms of time consumption and observation. Thus, the c-FACS has the ability to assist forensic investigations involving banknote counterfeiting crimes.
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spelling doaj.art-9dd89ceec7824726b9e7553b7dbce3772023-11-16T21:57:01ZengMDPI AGMathematics2227-73902023-02-01114100210.3390/math11041002Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph MethodNurfarhana Hassan0Tahir Ahmad1Naji Arafat Mahat2Hasmerya Maarof3Mujahid Abdullahi4Nur Farah Dina Ajid5Zarith Sofia Jasmi6Foo Keat How7Mathematical Sciences Studies, College of Computing, Informatics, and Media, Universiti Teknologi MARA Cawangan Johor, Kampus Segamat, Segamat 85000, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81310, MalaysiaDepartment of Chemistry, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81310, MalaysiaDepartment of Chemistry, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81310, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81310, MalaysiaDepartment of Chemistry, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81310, MalaysiaDepartment of Finance, Faculty of Business and Management, Universiti Teknologi MARA Cawangan Johor, Kampus Segamat, Segamat 85000, MalaysiaCrime Investigation Department, Sentul District Police Headquarters, Royal Malaysia Police, Kuala Lumpur 51200, MalaysiaA banknote is a currency issued by a country, and it was first introduced in the 16th century. The counterfeiting of banknotes by cunning criminals became a great challenge with the current advanced technology. Forensic scientists are using chemical methods, such as Fourier transform infrared (FTIR) spectroscopy for differentiating genuine and counterfeit banknotes. However, the FTIR spectra of banknotes may require further pattern recognition analysis due to their high similarities. In this paper, a fuzzy graph-based algorithm for authentication of the FTIR spectrum, namely chemometrics fuzzy autocatalytic set (c-FACS), is used to discriminate between genuine and counterfeit hundred Ringgit Malaysian (RM100) banknotes. The results show that the genuine and counterfeit RM100 banknotes have slightly distinct patterns when analyzed using c-FACS. In addition, the results are compared with RM50 banknotes, and the results reveal that the nodes or dominant axis varies between the two banknotes. To verify the reliability of the results, the results obtained via c-FACS are compared with principal component analysis (PCA). The c-FACS showed better performances as compared to PCA in terms of time consumption and observation. Thus, the c-FACS has the ability to assist forensic investigations involving banknote counterfeiting crimes.https://www.mdpi.com/2227-7390/11/4/1002graphmodelingauthenticationbanknotesforensic sciences
spellingShingle Nurfarhana Hassan
Tahir Ahmad
Naji Arafat Mahat
Hasmerya Maarof
Mujahid Abdullahi
Nur Farah Dina Ajid
Zarith Sofia Jasmi
Foo Keat How
Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method
Mathematics
graph
modeling
authentication
banknotes
forensic sciences
title Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method
title_full Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method
title_fullStr Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method
title_full_unstemmed Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method
title_short Authentication of Counterfeit Hundred Ringgit Malaysian Banknotes Using Fuzzy Graph Method
title_sort authentication of counterfeit hundred ringgit malaysian banknotes using fuzzy graph method
topic graph
modeling
authentication
banknotes
forensic sciences
url https://www.mdpi.com/2227-7390/11/4/1002
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