1 Affiliation : Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
Email : firstname.lastname@example.org
2 Affiliation : Department of Biomedical Engineering, Sri Sivasubramaniya Nadar College of Engineering, India
Email : email@example.com
3 Affiliation : Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco
Email : firstname.lastname@example.org
4 Affiliation : Department of Biomedical Engineering, Sri Sivasubramaniya Nadar College of Engineering, India
Email : email@example.com
5 Affiliation : Department of Biomedical Engineering, Sri Sivasubramaniya Nadar College of Engineering, India
Email : firstname.lastname@example.org
In this work a Neutrosophic approach has been implemented to assess the severity of diabetic neuropathy. Vibratory Perception Threshold (VPT) data was acquired from 600 participants. The acquired data was utilised to obtain the various criteria to assess the severity of diabetic neuropathy which is a fatal consequence of Diabetes mellitus. A single valued Neutrosophic set was employed to assess and evaluate the given medical condition. Multi Criteria Decision Making (MCDM) was used to address the severity. The hybrid score accuracy function and the collective correlation of the decision matrices were calculated and were used to estimate the weights which ultimately aided in the ranking process. The results corroborated that Grade II neuropathy is the most severe condition and needs more conscientious diagnosis.
Diabetic Neuropathy; Neutrosophic Set; MCDM; Diabetes; Biothesiometry; Vibration Perception Threshold
 Broumi, S., Talea, M., Bakali, A. and Smarandache, F., 2016. Single valued neutrosophic
graphs. Journal of New theory, (10), pp.86-101.
 Panda, M. and Mishra, A., 2018. A survey of shortest-path algorithms. International Journal of
Applied Engineering Research, 13(9), pp.6817-6820.
 Sunitha, M.S. and Mathew, S., 2013. Fuzzy graph theory: a survey. Annals of Pure and Applied
mathematics, 4(1), pp.92-110.
 Zadeh, L.A., 1996. Fuzzy sets. In Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers by Lotfi
A Zadeh (pp. 394-432).
 L.A.Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Information Sciences, 172
(1-2) (2005) 1-40.
 Rosenfeld, A., 1975. Fuzzy graphs, fuzzy sets and their applications to cognitive and decision
processes. Acad. Press, New York, pp.77-95.
 Yeh, R.T. and Bang, S.Y., 1975. Fuzzy relations, fuzzy graphs, and their applications to clustering
analysis. In Fuzzy sets and their applications to Cognitive and Decision Processes (pp. 125-149).
 Atanassov KT. Intuitionistic fuzzy sets: theory and applications. Physica, New York, 1999
 Gani, A.N. and Begum, S.S., 2010. Degree, order and size in intuitionistic fuzzy graphs. International
journal of algorithms, Computing and Mathematics, 3(3), pp.11-16.
 Akram, M. and Davvaz, B., 2012. Strong intuitionistic fuzzy graphs. Filomat, 26(1), pp.177-196.
 Smarandache, F., 1999. A unifying field in Logics: Neutrosophic Logic. In Philosophy (pp. 1-141).
American Research Press.
 Smarandache, F., 2015. Refined literal indeterminacy and the multiplication law of subindeterminacies.
 Smarandache, F., 2015. Symbolic Neutrosophic.
 F. Smarandache , Neutrosophic set - a generalization of the intuitionistic fuzzy set, Granular
Computing, 2006 IEEE International Conference, 38 – 42,2006,DOI: 10.1109/GRC.2006.1635754.
 Majumdar, P., 2015. Neutrosophic sets and its applications to decision making. In Computational
intelligence for big data analysis (pp. 97-115). Springer, Cham
 Broumi, S., Smarandache, F., Talea, M. and Bakali, A., 2016, July. Single valued neutrosophic
graphs: degree, order and size. In 2016 IEEE international conference on fuzzy systems (FUZZIEEE)
(pp. 2444-2451). IEEE.
 H. Wang, F. Smarandache, Y.Q. Zhang, R. Sunderraman, Single valued neutrosophic sets, Multispace
Multistruct. 4 (2010) pp.410–413.
 Aydoğdu, A., 2015. On similarity and entropy of single valued neutrosophic sets. General
mathematics notes, 29(1), pp.67-74.
 Broumi, S., Talea, M., Bakali, A. and Smarandache, F., 2016. On bipolar single valued neutrosophic
graphs. Journal of New Theory, (11), pp.84-102.
 Van Deursen RW, Sanchez MM, Derr JA, Becker MB, Ulbrecht JS, Cavanagh PR. Vibration
perception threshold testing in patients with diabetic neuropathy: ceiling effects and reliability. Diabet
Med. 2001 Jun;18(6):469-75.
 Forouhi, N.G. and Wareham, N.J., 2010. Epidemiology of diabetes. Medicine, 38(11), pp.602-606.
 Vinik, A.I., Nevoret, M.L., Casellini, C. and Parson, H., 2013. Diabetic neuropathy. Endocrinology
and Metabolism Clinics, 42(4), pp.747-787.
 Garrow, A.P. and Boulton, A.J., 2006. Vibration perception threshold—a valuable assessment of
neural dysfunction in people with diabetes. Diabetes/metabolism research and reviews, 22(5), pp.411-
 Köksalan, M.M., Wallenius, J. and Zionts, S., 2011. Multiple criteria decision making: from early
history to the 21st century. World Scientific.
 Zavadskas, E.K., Turskis, Z. and Kildienė, S., 2014. State of art surveys of overviews on
MCDM/MADM methods. Technological and economic development of economy, 20(1), pp.165-179.
 Aruldoss, M., Lakshmi, T.M. and Venkatesan, V.P., 2013. A survey on multi criteria decision making
methods and its applications. American Journal of Information Systems, 1(1), pp.31-43.
 Greco, S. ed., 2010. Trends in multiple criteria decision analysis (Vol. 6, pp. 10-34). New York:
 Singh, S., Pai, D.R. and Yuhhui, C., 2013. Diabetic foot ulcer–diagnosis and management. Clin Res
Foot Ankle, 1(3), p.120.
 Digital Biothesiometer Vibrometer –VPT, Available at: https://2.imimg.com/data2/NY/RV/MY-
 Dash, S. and Thakur, A.K., 2017. Perception of vibration threshold is a marker of diabetic
neuropathy. National Journal of Physiology, Pharmacy and Pharmacology, 7(9), p.1003.
 Lindholm, E., Löndahl, M., Fagher, K., Apelqvist, J. and Dahlin, L.B., 2019. Strong association
between vibration perception thresholds at low frequencies (4 and 8 Hz), neuropathic symptoms and
diabetic foot ulcers. PLoS One, 14(2), 0212921.
 Muhammad Aslam, Osama H. Arif, and Rehan Ahmad Khan Sherwani, New Diagnosis Test under
the Neutrosophic Statistics: An Application to Diabetic Patients, BioMed Research International
Volume 2020, Article ID 2086185.
 Bazhdar N., S H. Mohammed , Raghad Z. Yousif, Intelligent System for Screening Diabetic
Retinopathy by Using Neutrosophic and Statistical Fundus Image Features ZANCO Journal of Pure
and Applied Sciences 2019, 31(6): 30 – 39.
 Muhammad Aslam and Mohammed Albassam, A New Way of Investigating the Relationship
Between Fasting Blood Sugar Level and Drinking Glucose Solution , Frontiers in Nutrition, May
2022 | Volume 9 | Article 862071.
 Abdolreza Rashno, Dara D. Koozekanani, Paul M. Drayna, Behzad Nazari, Saeed Sadri, Hossein
Rabbani, Keshab K. Parhi, Fully-Automated Segmentation of Fluid/Cyst Regions in Optical
Coherence Tomography Images with Diabetic Macular Edema using Neutrosophic Sets and Graph
Algorithms, IEEE Transactions on Biomedical Engineering, 65(5), May 2018.
|MLA||R. Sundareswaran,V. Mahesh,Said Broumi,R. Dhanush Babu,M Vahini. "Diabetic Neuropathy Severity Assessment: A Neutrosophic approach." International Journal of Neutrosophic Science, Vol. 18, No. 4, 2022 ,PP. 291-300.|
|APA||R. Sundareswaran,V. Mahesh,Said Broumi,R. Dhanush Babu,M Vahini. (2022). Diabetic Neuropathy Severity Assessment: A Neutrosophic approach. International Journal of Neutrosophic Science, 18 ( 4 ), 291-300.|
|Chicago||R. Sundareswaran,V. Mahesh,Said Broumi,R. Dhanush Babu,M Vahini. "Diabetic Neuropathy Severity Assessment: A Neutrosophic approach." International Journal of Neutrosophic Science, 18 no. 4 (2022): 291-300.|
|Harvard||R. Sundareswaran,V. Mahesh,Said Broumi,R. Dhanush Babu,M Vahini. (2022). Diabetic Neuropathy Severity Assessment: A Neutrosophic approach. International Journal of Neutrosophic Science, 18 ( 4 ), 291-300.|
|Vancouver||R. Sundareswaran,V. Mahesh,Said Broumi,R. Dhanush Babu,M Vahini. Diabetic Neuropathy Severity Assessment: A Neutrosophic approach. International Journal of Neutrosophic Science, (2022); 18 ( 4 ): 291-300.|
|IEEE||R. Sundareswaran,V. Mahesh,Said Broumi,R. Dhanush Babu,M Vahini, Diabetic Neuropathy Severity Assessment: A Neutrosophic approach, International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 291-300 (Doi : https://doi.org/10.54216/IJNS.180424)|