Use of Fuzzy Matrices for the Diagnosis of Diabetes, Anaemia and Hypertension


  • Rajeev Gajanan Sapre Department of Mathematics, Gogate-Jogalekar College, Ratnagiri, Maharashtra, India
  • Muktai Milind Desai Department of Mathematics , Gogate Jogalekar College , Ratnagiri ,Maharashtra, India
  • Mugdha Mahesh Pokharanakar Department of Mathematics, Gogate-Jogalekar College, Ratnagiri, Maharashtra, India



Fuzzy logic, fuzzy matrices, max-min product, Chi-square test.


The mathematical model presented here aims to enhance the precision in diagnostic process of diabetes, anaemia and hypertension by means of fuzzy interface. In real life, the imprecise nature of medical documentation and uncertain information provided by patients often do not give the desired degree of confidence to the diagnosis. To that end using the capability of fuzzy logic in representing, interpreting and utilizing data and information that are vague and lack certainty, a new algorithm based on different fuzzy matrices and fuzzy relations is developed. In the process a medical knowledge base is developed with the help of 51 doctors. The model achieved 94.44% accuracy in the diagnosis, which shows its usefulness. To implement this model-based diagnosis procedure a user-friendly Excel program is designed.



Adlassning, K.P., "Fuzzy set theory in medical diagnosis", IEEE Transaction systems Man Cybernetics, 16(2), pp. 260-265, 1986.

Elizabeth, S. and Sujatha, L., "Application of fuzzy membership matrix in medical diagnosis and decision making", Applied Mathematical Sciences, Vol. 7, pp. 6297-6307, 2013.

Gupta,S.P.: Statistical Methods, S.Chand & sons, New Delhi,1976.

Klir, G. and Yuan, B.,Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice- Hall, Upper Saddle River, New Jersey,1995.

Meenakshi, A. R. and Kaliraja M., "An application of interval-valued fuzzy matrices in medical diagnosis", International Journal of Mathematical Analysis, Vol. 5, pp. 1791-1802, 2011.

Sanchez, E., "Inverse of fuzzy relations, application to possibility distribution and medical diagnosis", Fuzzy Sets and Systems", Vol. 2, pp. 75-86, 1979.

Saravanan, K. and Prasanna, J.S., "Applications of fuzzy matrices in medicine", Global Journal of Pure and Applied Mathematics, Vol.12, number 2, pp. 80-84, 2016.

Raich, V., Tripathi, R.K., Agarwal, V. and Dalal, S., "Application of fuzzy matrix in the study of diabetes", World Academy of Science, Engineering and Technology, Vol. 56, pp. 22-28, 2009.

World Health Organization - Diabetes country profiles. (2016)

World Health Organization - Prevalence of anaemia in women of reproductive age (%). women-of-reproductive-age-(-) (2016)

World Health Organization - Noncommunicable Diseases (NCD) Country Profiles. (2018)

Zadeh, L. A., "Fuzzy set", Information and Control, Vol. 8, pp. 338-353, 1965.




How to Cite

Rajeev Sapre, Muktai Desai, & Mugdha Pokharanakar. (2020). Use of Fuzzy Matrices for the Diagnosis of Diabetes, Anaemia and Hypertension. Asian Journal of Fuzzy and Applied Mathematics, 8(2).




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